A circle with area 81 has a sector with a central angle of 120 what is the area of the sector

Answers

Answer 1

Answer:

  27

Step-by-step explanation:

The central angle of 120° is 1/3 of the entire circle of 360°, so the sector area is 1/3 of the circle area:

  1/3×81 = 27

The sector area is 27.


Related Questions

I’m not sure how to solve this. Please show how you solve this problem, thank you.

Answers

Answer:

Pretend that H is the midpoint of AB, connect O and H

=> OH is the median of ΔOAB

Since we know that OA = OB => ΔOAB is an isosceles triangle

=> OH is also the height of ΔOAB

=> ∠OBA = ∠OAB = (180° - ∠AOB)/2 = (180° - 120°)/2 = 60°/2 = 30°

Now look at ΔOHB (that you create by connecting O and H)

We have:

cos30° = BH/OB

=> BH = cos30° · OB = √3/2 · x = (√3 x)/2

Because we have H as the midpoint of AB, we know that:

AB = 2 · BH = 2 · (√3 x)/2 = √3 x

So the answer is B

A dolphin jumps from the water at a initial velocity of 16 feet per second the equation h=-8t^2 + 16t models the dolphins height at any given time t what is the maxim height the dolphin jumps

Answers

The maximum height that the dolphin jumps is 8 ft.

What is a parabola?

A parabola is a planar curve which symmetrical across its vertex.

What is the standard equation of a parabola?

The standard equation of a parabola is given by:

y = (x-h)² + k

Where (h, k) is the vertex of the parabola.

The maximum height that the dolphin reaches is the y-coordinate of the vertex of the parabola. We can change the given quadratic equation to standard form as follows:

h = -8t² + 16t

Subtract and add 8:

h = -8t² + 16t - 8 + 8

h = -8 (t² - 2t + 1) + 8

h = -8 (t - 1)² + 8

The negative coefficient outside the square term means that the parabola opens downward. From this standard form, we can see that the vertex of the parabola is (1, 8). This means that the maximum height that the dolphin can reach is 8 ft.

Therefore, we have found that the maximum height the dolphin jumps is 8 ft.

Learn more about parabolas here-https://brainly.com/question/25651698

#SPJ2

Final answer:

The dolphin reaches its maximum height after 2 seconds and jumps 32 feet.

Explanation:

To find the maximum height the dolphin jumps, we need to determine the time it takes for the dolphin to reach its highest point. The equation given is h = -8t^2 + 16t, where h represents the dolphin's height at any given time t. Since the dolphin jumps straight up, its final velocity at the highest point is 0. Setting h = 0 and solving the resulting quadratic equation, we can find the time it takes for the dolphin to reach its maximum height.

Using the equation -8t^2 + 16t = 0, we can factor out -8t to get t(-8t + 16) = 0. This yields two solutions: t = 0 and t = 2. As time cannot be negative, we discard t = 0. Therefore, the dolphin reaches its maximum height after 2 seconds.

To find the maximum height, we substitute t = 2 in the equation h = -8t^2 + 16t. Plugging in the value, we get h = -8(2)^2 + 16(2) = -8(4) + 32 = 0 + 32 = 32 feet. Thus, the maximum height the dolphin jumps is 32 feet.

Which points are reflections of each other across both the y-axis

Answers

Answer:

Reflect over the y-axis

Step-by-step explanation:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).

Notice that B is 5 horizontal units to the right of the y-axis, and B' is 5 horizontal units to the left of the y-axis.

The reflection of the point (x,y) across

the y-axis is the point (-x,y).

The population of ls Vegas Nevada has been increasing at an annual rate of 7.0%. If the population of Las Vegas was 478,434 in 1999, predict its population in 2015

Answers

Hello!

The answer is:

The population in 2015 will be 1,412,415.

Why?

Since from the statement we know that the population is increasing, we know that we are working with an exponential growth problem.

We can calculate the exponential growth using the following equation:

[tex]Population(t)=StartPopulation(1+growthpercent)^{t}[/tex]

Where,

P, is the population after t (years, months, days or hours)

Start Population, is the starting population.

Growth percent, is the percent of growth

t, is the time elapsed (years, months, days or hours)

So, we are given the following information:

[tex]StartPopulation=478434\\\\GrowthPercent=7(percent)=\frac{7(percent)}{100}=0.07\\\\TimeElapsed=2015-1999=16years[/tex]

Now, substituting and calculating, we have:

[tex]Population(t)=StartPopulation(1+growthpercent)^{t}[/tex]

[tex]Population(t)=478434(1+0.07)^{16}=141241.5=1412415[/tex]

Hence, the population in 2015 will be 1,412,415.

Have a nice day!

What steps are used to solve this equation? 6f = 48 Complete each statement. First, on both sides of the equation. Next, simplify the equation to determine that the solution of the equation is . Check the solution by substituting for f and simplifying.

Edit: The answers are divide by 6, f = 8, and 8.

Answers

Answer:

f=8

Step-by-step explanation:

Given,

6f=48

f=48/6

f=8

Verification:

6*8=48 ✓

Answer:

divide by six

f=8

8

Step-by-step explanation:

i just did the assiment

Find two consecutive odd numbers such that the sum of the first number and one-third of the second number is equal to fifty.

Answers

Answer:

37, 39

Step-by-step explanation:

n + 1/3 (n + 2) = 50

Multiply both sides by 3 to cancel out the 1/3:

3n + (n + 2) = 150

Simplify:

4n + 2 = 150

4n = 148

n = 37

n + 2 = 39

Answer:

37 and 39.

Step-by-step explanation:

Let the two odd numbers are x and ( x + 2 ) Then by statement " Sum of the first number and one third of second number is equal to 50."

So equation will be

x + [tex]\frac{1}{3}[/tex] (x+2) = 50

We multiply the equation by 3

3x + ( x+2 ) = 150

3x + x + 2 = 150

4x + 2 = 150

4x = 150 - 2 = 148

x = 37

So numbers are 37 and 39.

find the solution of 4x^2-4x-1=0

Answers

[tex]4x^{2} -4x - 1 = 0[/tex]

To solve for the zeros you can use the quadratic formula:

[tex]\frac{-b plus/minus\sqrt{b^{2}-4ac } }{2a}[/tex]

a = 4

b = -4

c = -1

[tex]\frac{-(-4) plus/minus\sqrt{(-4)^{2}-4(4)(-1) } }{2(4)}[/tex]

[tex]\frac{4 plus/minus\sqrt{16+16 } }{8}[/tex]

[tex]\frac{4plus/minus\sqrt{32} }{8}[/tex]

[tex]\frac{4plus/minus4\sqrt{2 } }{8}[/tex]

[tex]\frac{1 plus/minus\sqrt{2} }{2}[/tex]

Hope this helped!

~Just a girl in love with Shawn Mendes

Final answer:

The quadratic equation 4x^2 - 4x - 1 = 0 can be solved by using the quadratic formula -b ± √b² - 4ac / 2a. After substituting the coefficients into the formula, we get 4 ± √((-4)^2 - 4 * 4 * -1) / 2 * 4. These roots are the solution to the equation.

Explanation:

The subject of the question is the solution of a quadratic equation which can be found using the quadratic formula. For the given equation 4x^2 - 4x - 1 = 0, the values of a, b, and c as per the general quadratic equation (ax^2 + bx + c = 0) are a = 4, b = -4 and c = -1. The quadratic formula to solve for x is -b ± √b² - 4ac / 2a.

Substituting the given values in to the formula we get the solution for x: 4 ± √((-4)^2 - 4 * 4 * -1) / 2 * 4, which can further be solved to get the two roots of the quadratic equation.

Learn more about Solving quadratic equations here:

https://brainly.com/question/30398551

#SPJ3

Jamal simplified the expression √75x^5y^8 where x≥ 0 and y≥0. √75x^5y^8 = √25 times 3 times x^4 times x times y^8 = 5x^2y^2 √3x Which describes the error Jamal made? He should have written the square root of in the answer as , not . He should have written the square root of in the answer as , not . He should have written the 5 inside of the radical in the answer. He should have written the 3 outside of the radical in the answer. Mark this and return

Answers

Answer:

He should have written the square root of [tex]y^8[/tex] in the answer as [tex]y^4[/tex], not [tex]y^2[/tex]

Step-by-step explanation:

We need to remember that:

[tex]\sqrt[n]{x^n}=x[/tex]

The Product of powers property states that:

[tex](a^m)(a^n)=a^{(m+n)}[/tex]

The Power of a power a property states that:

[tex](a^m)^n=a^{(mn)}[/tex]

Let's check the procedure made by Jamal to simplify the expression [tex]\sqrt{75x^5y^8 }[/tex] where [tex]x\geq0[/tex] and [tex]y\geq0[/tex]:

[tex]=\sqrt{25*3*x^4*x*y^8}[/tex] (This is correct)

[tex]5x^2y^2\sqrt{3x}[/tex] (Jamal made a mistake)

The correct procedure is:

[tex]=\sqrt{25*3*x^4*x*y^8}[/tex]

[tex]=5x^2y^4\sqrt{3x}[/tex]

Because:

[tex]\sqrt{y^8}=\sqrt{(y^4)^2}=y^4[/tex]

Therefore: He should have written the square root of [tex]y^8[/tex] in the answer as [tex]y^4[/tex], not [tex]y^2[/tex],

Answer:

He should have written the square root of y Superscript 8 in the answer as y Superscript 4, not y squared.

Step-by-step explanation:

its A on Ed

the function g is defined by g(x)=3k-5x, where k is a constant. find k, if the graph of g passes through the point (3,11).

Answers

Answer:

[tex]k=26/3[/tex]

Step-by-step explanation:

we have

[tex]g(x)=3k-5x[/tex]

we know that

If the graph of g(x) passes through the point (3,11)

then

the ordered pair (3,11) must satisfy the equation g(x)

Substitute

[tex]x=3,g(3)=11[/tex]

[tex]11=3k-5(3)[/tex]

[tex]11=3k-15[/tex]

[tex]3k=11+15[/tex]

[tex]3k=26[/tex]

[tex]3k=26[/tex]

[tex]k=26/3[/tex]

Select the two values of x that are roots of this equation.
x^2+1=5x
*APEX

Answers

Answer:

[tex]\large\boxed{B.\ x=\dfrac{5+\sqrt{21}}{2},\ C.\ x=\dfrac{5-\sqrt{21}}{2}}[/tex]

Step-by-step explanation:

[tex]\text{Use the quadratic formula:}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\================================\\\\\text{We have}:\\\\x^2+1=5x\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\x^2-5x+1=0\\\\a=1,\ b=-5,\ c=1\\\\b^2-4ac=(-5)^2-4(1)(1)=25-4=21\\\\x=\dfrac{-(-5)\pm\sqrt{21}}{2(1)}=\dfrac{5\pm\sqrt{21}}{2}[/tex]

Answer:

b and c Apex answers

How do I plot a decimal on a coordinate plane?

Answers

Answer:

To plot a decimal on a coordinate plane you plot it between the two whole numbers its close to.

Step-by-step explanation:

img1
Equation: w = 112 + 8t

Which input results in an output of 176?


What is the output in the ordered pair (4, 144)?


Answers

The equation

[tex]w=112+8t[/tex]

means that you choose a value for the input variable t, and you compute the correspondent value for the output variable w.

So, if the input is t = 176, the output will be

[tex]w=112+8\cdot 176 = 112+1408 = 1520[/tex]

Similarly, the ordered pair (4, 144) means that if you choose 4 as input, you get 144 as output, in fact you have

[tex]w=112+8\cdot 4= 112+32= 144[/tex]

Answer:

The first one is 8

The second one is 144

Step-by-step explanation:

I just did it on brainly

A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters. The expression below represents the area of the floor of the room in square meters:

(x − 4)(3x − 1)

Which of the following simplified expressions represents the area of the floor of the conference room in square meters?

x2 − 13x + 4
3x2 − 13x + 4
3x2 − 11x + 4
x2 − 12x + 4

Answers

Answer:

3x^2−13x+4

Step-by-step explanation:

(x−4)(3x−1)

=(x+−4)(3x+−1)

=(x)(3x)+(x)(−1)+(−4)(3x)+(−4)(−1)

=3x^2−x−12x+4

=3x^2−13x+4

Answer:

Option A. 3x² - 13x + 4 is the answer.

Step-by-step explanation:

A conference room is in the shape of a rectangle. Its floor has a length of (x - 4) and width of (3x - 1) meters.

The expression that represents the area of the room is (x - 4)(3x -1) meter²

We further simplify this expression representing the area of the conference room.

(x - 4)(3x -1) = x(3x -1) - 4(3x -1) [Distributive law]

= 3x² - x - 12x + 4

= 3x² - 13x + 4

Option A. 3x² - 13x + 4 is the simplified form of the given expression.

Find the slope and Y-intercept

Answers

[tex]\bf y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{7}{5}}x\stackrel{\stackrel{b}{\downarrow }}{-3}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad \cfrac{7}{5};-3[/tex]

The formula y=mx+b which this equation is in shows the slope as m and y-intercept as b. In this situation where m is the fraction 7 over 5 and b is -3. So the slope is 7/5 and the y-intercept is -3

Solve the Equation
5x+15y=10
5x-10y=-40

Answers

Answer:

Step-by-step explanation:

-5x + 10 = 15y

(-5(x-2))/15

(-x+2)/3 = y

5x - 10((-x+2)/3)

5x - ((-10x + 20)/3)=-40

5x + (10x-20)/3

15x + 10x - 20 = -120

25x = -100

x = -4

5x + 15y = 10

-20 + 15y = 10

30 = 15y

y = 2

Answer:

x = -4, y = 2

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}5x+15y=10\\5x-10y=-40&\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}5x+15y=10\\-5x+10y=40\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad25y=50\qquad\text{divide both sides by 25}\\.\qquad\qquad\boxed{y=2}\\\\\text{Put the value of y to the first equation:}\\\\5x+15(2)=10\\5x+30=10\qquad\text{subtract 30 from both sides}\\5x=-20\qquad\text{divide both sides by 5}\\\boxed{x=-4}[/tex]

A certain element has a half-life of 69 years. An experiment starts with 1,500 grams of the element. The amount of the element remaining x years after the experiment began can be modeled with the function f(x) = 1,500(2)–x/69. The mathematical domain of the function is all real numbers.

Which statement describes how the reasonable domain compares to the mathematical domain?

1The reasonable domain is restricted to integers.
2The reasonable domain is restricted to positive real numbers.
3The reasonable domain has a minimum value of 1,500.
4The reasonable domain has a maximum value of 1,500.

Answers

Answer:

2. The reasonable domain is restricted to positive real numbers.

Step-by-step explanation:

The variable "x" is time in years from when the experiment began. It makes no sense to have negative values of x, as the experiment had not yet begun in negative time.

___

I would include x=0 in the domain, too, though you already know the amount of remaining element at x=0 and don't have to use the function to calculate it.

__

x might be restricted to integers if you're only measuring the remaining amount once a year.

The maximum value of 1500 applies to the *range* of the function, not its domain.

The minimum value of 1500 has nothing to do with anything.

Answer:

B) the reasonable domain is restricted to positive real numbers

Step-by-step explanation:


8. The amount f (t)of a certain medicine, in milligrams, in a patient's
bloodstream t minutes after being taken is given by f(t) =
Find the amount of medicine in the blood after 20 minutes.

Answers

Answer:

The amount of medicine in the patient's blood after 20 minutes is 2.6906 milligrams

Step-by-step explanation:

The amount of medicine in the patient's blood after 20 minutes will given by;

f(20)

since we are informed that the amount f(t) of a certain medicine in a patient's bloodstream t minutes after being taken is given by f(t);

We simply substitute t = 20 in the function f(t);

[tex]f(20)=\frac{60(20)}{20^{2}+46 }=2.6906[/tex]

Answer:

Step-by-step explanation:

Since the formula is given, we only need to substitute 20 for t to find the answer.

60t/t sq. + 46 we substitute 20 for x:

60(20)/ 20x20 +46

1200/446 which equals

2.6905 milligrams

HELP FIND AREA AND PERIMETER VERY ARGENT PLEASE HELP

Answers

Answer:

Area = 575m²  Perimeter = 94

Step-by-step explanation:

Trust me I'm right

Answer:

Area of the Figure: 575 m

Perimeter of the Figure: 94 m

Step-by-step explanation:

That shape can easily be divided into a right triangle and a rectangle.

•••To solve the area for the rectangle:

base x height

17 * 25 = 425 m

•••To solve the area for the right triangle:

1/2 x base x height

1/2 x 15 x 20 = 150 m

•••Perimeter of the figure:

Add all the sides.

17 + 17 + 25 + 15 + 20 = 94 m

A classroom globe has a diameter of 18 inches.   Which of the following is the approximate surface area, in square inches, of the globe? (Surface Area = 4r2)​

Answers

Answer:

1017.36 square inches

Step-by-step explanation:

The globe is in the shape of a sphere. As we given the diameter of the globe

d = 18 inches

We have to find the radius of globe first

[tex]Radius=r=\frac{d}{2}\\r=\frac{18}{2}\\r=9\ inches[/tex]

The formula for finding the surface area is:

[tex]Surface\ Area=4\pi r^{2}\\Putting\ the\ values\ of \pi \ and\ r\\Area=4*3.14*(9)^{2} \\=4*3.14*81\\=1017.36\ square\ inches[/tex]

Hence, the surface area is 1017.36 square inches ..

What is the correct answer for this equation? 6 ÷ 2(1+2) =

Answers

Answer:

9

Step-by-step explanation:

6 ÷ 2(1+2)

= 6 ÷ 2 x 3

= 3 x 3

= 9

The correct answer is 9

First you have to divide 6/2 is 3

Then you distribute 3 into the parentheses

3(1+2) = (3*1)+(3*2)

Then you solve

(3*1)=3

(3*2)=6

So,

6+3=9

The width, w, of a rectangular swimming pool 9r + 1. The area A of the pool is 90r^6+28r^5+2r^(4 )+ 45r^3+5r^2. What is an expression for the length of the pool?

Answers

Answer:

10r⁵ + 2r⁴ + 5r²

Step-by-step explanation:

A = 90r⁶ + 28r⁵ + 2r⁴ + 45r³ + 5r²

Factor our r²:

A = r² (90r⁴ + 28r³ + 2r² + 45r + 5)

Factor 2r² from the first three terms and 5 from the last two:

A = r² (2r² (45r² + 14r + 1) + 5 (9r + 1))

Factor the trinomial:

A = r² (2r² (5r + 1)(9r + 1) + 5 (9r + 1))

Factor out 9r+1:

A = r² (2r² (5r + 1) + 5) (9r + 1)

Distribute the 2r²:

A = r² (10r³ + 2r² + 5) (9r + 1)

Distribute the r²:

A = (10r⁵ + 2r⁴ + 5r²) (9r + 1)

The area is width times length, and the width is 9r + 1.

WL = (10r⁵ + 2r⁴ + 5r²) (9r + 1)

(9r + 1) L = (10r⁵ + 2r⁴ + 5r²) (9r + 1)

L = 10r⁵ + 2r⁴ + 5r²

The length of the pool is 10r⁵ + 2r⁴ + 5r².

When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
2 + 7c – 4c2 – 3c + 4

Answers

Final answer:

The quadratic function equivalent to the polynomial 2 + 7c – 4c2 – 3c + 4 when simplified and written in standard form is – 4c2 + 4c + 6.

Explanation:

When you simplify and write the polynomial 2 + 7c – 4c2 – 3c + 4 in standard form, the quadratic function equivalent is – 4c2 + 4c + 6. First, combine like terms by adding the constants and the terms with c. This gives you – 4c2 + (7c – 3c) + (2 + 4), which simplifies to – 4c2 + 4c + 6.

The standard form of a quadratic equation is ax2 + bx + c = 0. In the case of the simplified polynomial, a = -4, b = 4, and c = 6. If needed, you can use the quadratic formula to find the roots of this quadratic equation by substituting these values into the formula.

if f(x)=2x-6 and g(x)=x^3 what is (g f)(0)

Answers

ANSWER

[tex](g \circ \: f)(0) = - 216[/tex]

EXPLANATION

The functions are:

[tex]f(x) = 2x - 6[/tex]

[tex]g(x) = {x}^{3} [/tex]

[tex](g \circ \: f)(x) =g(f(x))[/tex]

[tex](g \circ \: f)(x) =g(2x - 6)[/tex]

We substitute f(x) into g(x) to obtain:

[tex](g \circ \: f)(x) =(2x - 6)^{3} [/tex]

We now substitute x=0 to obtain;

[tex](g \circ \: f)(0) =(2(0) - 6)^{3} [/tex]

[tex](g \circ \: f)(0) =(- 6)^{3} [/tex]

This simplifies to:

[tex](g \circ \: f)(0) = - 216[/tex]

Can someone help me with this? sin150° =

Answers

Answer:

sin(150°) = 1/2

Step-by-step explanation:

* Lets study how we can solve this problem

- At first the measure of the angle is 150°

- Ask your self in which quadrant can you find this measure

* To know the answer lets revise the four quadrants

# First quadrant the measure of all angles is between 0° and 90°

  the measure of any angle is α

∴ All the angles are acute

∴ All the trigonometry functions of α are positive

# Second quadrant the measure of all angles is between 90° and 180°

  the measure of any angle is 180° - α

∴ All the angles are obtuse

∴ The value of sin(180° - α) only is positive ⇒ sin(180° - α) = sinα

# Third quadrant the measure of all angles is between 180° and 270°

  the measure of any angle is 180° + α

∴ All the angles are reflex

∴ The value of tan(180° + α) only is positive ⇒ tan(180° + α) = tanα

# Fourth quadrant the measure of all angles is between 270° and 360°

  the measure of any angle is 360° - α

∴ All the angles are reflex

∴ The value of cos(360° - α) only is positive ⇒ cos(360° - α) = cosα

* Now lets check the angle of measure 150

- It is an obtuse angle

∴ It is in the second quadrant

∴ the value of sin(150) is positive

∴ sin(150°) = sinα

∵ 180 - α = 150 ⇒ isolate α

∵ α = 180° - 150° = 30°

∴ sin(150°) = sin(30°)

∵ sin(30°) = 1/2

∴ sin(150°) = 1/2

ANSWER

[tex]\sin(150 \degree) = \frac{1}{2} [/tex]

EXPLANATION

The principal angle for 150° is 30°.

The terminal side of 150° is in the second quadrant.

In this quadrant the sine ratio is positive.

This implies that;

[tex] \sin(150 \degree)= \sin(30 \degree) [/tex]

On the unit circle,

[tex] \sin(30 \degree) = \frac{ 1 }{2} [/tex]

Therefore

[tex]\sin(150 \degree)= \sin(30 \degree) = \frac{1 }{2} [/tex]

25 POINTS WILL MARK RIGHT ANSWER AS BRAINLIEST! What is the value of x to the nearest tenth?

Answers

Answer:

The value of x is 2.5 to the nearest tenth

Step-by-step explanation:

* Lets revise the trigonometry functions

- In any right angle triangle:

# The side opposite to the right angle is called the hypotenuse

# The other two sides are called the legs of the right angle

* If the name of the triangle is ABC, where B is the right angle

∴ The hypotenuse is AC

∴ AB and BC are the legs of the right angle

- ∠A and ∠C are two acute angles

- For angle A

# sin(A) = opposite/hypotenuse

∵ The opposite to ∠A is BC

∵ The hypotenuse is AC

∴ sin(A) = BC/AC

# cos(A) = adjacent/hypotenuse

∵ The adjacent to ∠A is AB

∵ The hypotenuse is AC

∴ cos(A) = AB/AC  

# tan(A) = opposite/adjacent

∵ The opposite to ∠A is BC

∵ The adjacent to ∠A is AB

∴ tan(A) = BC/AB

* Now lets solve the problem

∵ x is opposite to the angle of measure 23°

∵ 6 is adjacent to the angle of measure 23°

∴ tan(23°) = x/6 ⇒ × 6 to both sides

∴ x = 6 × tan(23°) = 2.5

* The value of x is 2.5 to the nearest tenth

Answer: [tex]x=2.5[/tex]

Step-by-step explanation:

You need to remember the identity:

[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]

You can identify in the figure that for the angle 67°:

[tex]\alpha=67\°\\opposite=6\\adjacent=x[/tex]

Then you need to substitute these values into  [tex]tan\alpha=\frac{opposite}{adjacent}[/tex] and solve for "x":

[tex]tan(67\°)=\frac{6}{x}\\\\xtan(67\°)=6\\\\x=\frac{6}{tan(67\°)}\\\\x=2.5[/tex]

What is the solution set of the following equation? 4/5 x2 = 2x - 4/5

Answers

Answer:

[tex]x=\frac{1}{2}[/tex] or [tex]x=2[/tex]

Step-by-step explanation:

The given quadratic equation is:

[tex]\frac{4}{5}x^2=2x-\frac{4}{5}[/tex]

We multiply through by 5 to get:

[tex]4x^2=10x-4[/tex]

Rewrite in standard quadratic form;

[tex]4x^2-10x+4=0[/tex]

Or

[tex]2x^2-5x+2=0[/tex]

Split the middle term to get:

[tex]2x^2-4x-x+2=0[/tex]

Factor to get:

[tex]2x(x-2)-1(x-2)=0[/tex]

Factor further to get:

[tex](2x-1)(x-2)=0[/tex]

Either [tex](2x-1)=0[/tex] or [tex](x-2)=0[/tex]

Either [tex]x=\frac{1}{2}[/tex] or [tex]x=2[/tex]

Anna has to straighten her arm from 90° to 118°. She can straighten it
by about 12° every 3 days. How many days will it take to get to 118°?​

Answers

Answer:

it would take her 7 days

Step-by-step explanation:

Answer:

7 days

Step-by-step explanation:

90-118=(-28)

28° to go.

12°/3 days = 4° per day

28/4=7. 7 days

which graph represents y=square root of x

Answers

Answer: b on edge 2020

Step-by-step explanation:

Help me please? This problem is really not that easy?

Answers

Answer:

1. x = 49.10 - 5 divided by 2.10

2. 21 miles

Answer:

X=49.10

21 miles

Step-by-step explanation:

First, you need to divide 2.10 and the $5 . which will give you 4.2.

this has nothing to do with the problem lol.

I would keep on mulitiplying if i were you.

And, once you hit 21 miles, you will get $44.10 and the $5 which will equal 49.10 :).

Answer please show steps please

Answers

Answer:

25 girls

Step-by-step explanation:

Let

x denote number of boys

and

y denote number of girls

According to the statement that total 45 people came,

x+y = 45      => Eqn 1

And total paid amount was 175

So,

5x + 3y = 175    => Eqn 2

For solving, We will use the substitution method

So, from eqn 1

x = 45-y

Putting value of x in eqn 2

5(45-y) +3y = 175

225 - 5y + 3y = 175

-2y+225 = 175

-2y = 175-225

-2y = -50

2y = 50

y = 25

Putting y =25 in eqn 1

x+25 = 45

x = 45 - 25

x = 20

As y= 25

So, 25 girls came to the dance ..

Other Questions
You are a loan officer at a bank. An application comes to you for $5000 loan. Explain why you would want to know the persons credit history WILL MARK BRAINLIEST! ! ! JUST ANSWER THIS ONE QUESTION WITH CHOICES! ! BRAINLIEST! ! ! What distribution pattern describes wolves that live in packs? independent uniform random clumped What is the monthly payment of a financed amount of $14,452 with an APR of 8.9 percent? The term is for 5 years and the monthly payment per $100 is $2.41. $332.80 $348.29 $100.00 $241.00 Evaluate 12C4 and 11P4 Explain why it is wise to give a burn victim broad-spectrum antibiotics. 38. Alfred is practicing typing. The first time he tested himself, he could type 26 words per minute. After practicing for a week, he could type 28 words per minute. After two weeks he could type 30 words per minute. Based on this pattern, predict how fast Alfred will be able to type after four weeks of practice. Which verb form best completes this conversation? Luisa: Qu comiste anoche? Mario: ________ una pizza.ComieronComiComComiste What do the body paragraphs in an informational text usually contain? Supporting details Thesis statement Summary of evidence ConclusionI'm torn between A and C :p Identify mEOF. HELP PLEASE!! I don't understand! Why did Vasco de Gama enter India? What is the value of x?sin49 = cosxEnter your answer in the box.x = ? Drag the tiles to the correct boxes to complete the pairs. Match the one to one functions with their inverse functions. A farmer wants to build a rectangular pen with 80 feet of fencing. The pen will be built against the wall of the barn, so one side of the rectangle wont need a fence. What dimensions will maximize the area of the pen? Once your rocket reaches space, the captain adjusts the speed. your captain goes from 24,000 km/hr to 17,000 km/hr over 90 seconds. what is your acceleration? Use the table below to find (f o g)(1) Where should you park when you need help after your tire suddenly deflates while driving on a highway? NEED HELP FOR 25 POINTSWhy was the cost of an automobile so excessive?It cost to pay all the assembly line workers.The developers were wealthy monopolists.They were assembled by individual workers.They government charged high tariffs. Brainliest will be granted to the correct answer so please don't guess! What is the central idea of this poem? Women are mysterious creatures that must be protected from harm. Legally and culturally, women must be treated with respect and should have equal opportunities. While walls and veils may appear to protect women, they deny women freedom and happiness. A woman's life is filled with secrets that can never be discovered.How does the personification in the lines Time lifts the curtain unawares, / And Sorrow looks into her face affect meaning? Sorrow is a necessary contrast to joy since it shows the range of the womans emotions. By making sorrow a character, the distress caused by exposure is clear. Time causes the womans tears when it lifts the curtain because she is put on display. When time lifts the curtain, the sadness caused by pardah is revealed.What is the speakers view of the custom of seclusion? It is a relic from an ancient people that should be studied. It is necessary to protect women from the ravages of time. It celebrates the natural beauty and power of women. It oppresses women and leaves them powerless and lonely.In the first stanza of the poem, the woman is portrayed as someone who is beautiful and otherworldly. Why does the poet choose to describe the woman in this manner? The portrayal of the woman in this stanza expresses how some Hindu or Muslim communities would view this practice; it contrasts the speakers views expressed in the final stanza. As the poem is meant to describe the poet, she includes this stanza to portray herself as beautiful and desirable. The poem focuses on the speakers culture and religious beliefs; the beauty of the woman reflects how the speaker feels about her culture. Because the poem is a cry against injustice and inequality, this stanza expresses how beautiful the woman is when she is free and supports the speakers views of womens rights.Sarojini Naidu was politically active during Indias struggle to gain independence from British rule. She was also dedicated to bringing equal rights to women who were treated as a second class in Indian society.How does the poets political work and the historical events that took place in India influence meaning in The Pardah Nashin? The poet is working to become a political leader; this poem expresses her sorrow at being cut off from the political process in India. The Pardah Nashin expresses the pride that the poet feels toward her country as it fights for independence; the subject in the poem rises to power just as the poet does. During this time, India is caught between the past and the future; the poem expresses this struggle by showing how the subject of the poem moves from the joy of the past into the sorrow and uncertainty of the future. The speaker of the poem argues against oppression and for freedom; this aligns with the poet's political work to win freedom for India and to empower women. Steam Workshop Downloader