Match the tiles to the correct boxes to complete the pairs.


Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle.

1. cosB
2. tanC
3. sinB
4. tanB

A) c/b
B) b/a
C) b/c
D) c/a


Random answers will be reported!

The factored form of the given expression is 14(10c + 2 - a).

Given is an expression 140c + 28 - 14a, we need to factor it to simplify in equivalent expression.

We search for common term that can be eliminated in order to factor the expression 140c + 28 - 14a.

In this instance, we may factor the terms that share a common factor of 14 out.

The expression changes to:

140c + 28 - 14a

Let's now subtract 14:

14(10c + 2 - a)

Therefore, the expression's factored form is 14(10c + 2 - a).

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x=0.12634012+

[tex]\\\pi144445618[/tex]

Answer:

A. 30

Step-by-step explanation:

The correct form is:

4sin^2 x − 1 = 0

First step is add 1 to both sides:

4sin^2 x-1+1=0+1

4sin^2 x=1

Now to eliminate 4 divide both sides by 4

4sin^2 x/4=1/4

sin^2 x=1/4

Take square root at both sides

√sin^2 x = √1/4

sinx = 1/2

Thus the correct option is 30° ....

Answer:

101

Step-by-step explanation:

3 to the fourth power is 3*3*3*3 which is 81. 4*5=20. 81+20=101

Answer: 3^4 + 4 * 5 = 101

Step-by-step explanation:

You have to use the order of operations (PEMDAS)

3^4 is an exponent, so you simplify this first

3^4 = 81

4*5 is multiplication, so you do this next

4*5 = 20

81+20 = 101

For this case we evaluate the following inequality in the given point and verify if it is met:

[tex]2x-3y\geq  5[/tex]

[tex](x, y) = (\frac {1} {2}, \frac {1} {3})[/tex]

Substituting:

[tex]2 \frac {1} {2} -3 \frac {1} {3}\geq5[/tex]

[tex]1-1\geq 5\\0\geq 5[/tex]

It is not fulfilled!

The point does not satisfy the inequality

ANswer:

False

Answer:

False

Step-by-step explanation:

(1/2, 1/3) ⇒ x = 1/2 and y = 1/3

Substitute these values in the given equation;

   2x - 3y ≥ 5

  2(1/2) - 3(1/3) ≥ 5

   [tex]\frac{2}{2}[/tex]  -   [tex]\frac{3}{3}[/tex]

= 1 - 1 = 0

Thus the inequality is not satisfied by the given points, since 0 < 5 and ≠ 5.

Answer:

f(x) translated 3 units to the left and 8 units down, there is no reflection occurred

Step-by-step explanation:

* Lets revise some transformation for the functions

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

function g(x) = f(-x)

- If the function f(x) translated horizontally to the right  

by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

by k units, then the new function g(x) = f(x) – k

* Now lets study the problem

∵ g(x) = 2(x + 3)² - 8

# x + 3 ⇒ means f(x) translated 3 units to the left

# -8 ⇒ means f(x) translated 8 units down

# There is no reflection occurred

Answer:

4x^2−12x+9

If you have another question ask

The solution of expression is,

⇒ 4x² + 9 - 12x

We have to given that,

An expression to solve,

⇒ (2x - 3)²

Now, We can used the formula,

⇒ (a - b)² = a² + b² - 2ab

Hence, We get;

⇒ (2x - 3)² = (2x)² + 3² - 2×2x×3

                = 4x² + 9 - 12x

Therefore, The solution of expression is,

⇒ 4x² + 9 - 12x

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Answer:

ok so it can either be 0.07x or 1/15x (they are equal)

(both being 1/15th of a cookie per minute)

Opel's rate of making cookie dough is determined by recognizing that she makes one batch every 15 minutes. Therefore, per minute, she can make about 0.067 batches.

In the context of this problem, we're examining Opel's productivity in creating batches of cookie dough. Specifically, Opel can make a batch of cookie dough in 15 minutes. Therefore, to find her rate per minute, we simply recognize that one task (making a batch of cookie dough) corresponds to 15 minutes. Thus, her rate is 1 batch per 15 minutes. But we want to express this in terms of batches per minute. To do this, we simply take the reciprocal of 15, which is approximately 0.067. So, Opel's rate of making cookie dough is roughly 0.067 batches per minute.

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Answer:

150 pens

Step-by-step explanation:

1. 75% = 0.75

2. 200 * 0.75 = 150 pens

Answer:

This would be 150.

Step-by-step explanation:

Given

The number of people who will get the pen = 200

Since, each person gets only one pen,

Thus, the total number of pen required = 200,

Also, 75% pens are given away,

Hence, the number of pen distributed = 75% of the total pens

= 75% of 200

[tex]=\frac{75\times 200}{100}[/tex]

[tex]=\frac{15000}{100}[/tex]

= 150

-9, 2.6, -1.15, -7 1/3

To find the opposite of a number, multiply or divide it by -1. These four numbers just each got multiplied by -1 to get the answers.

To find all zeros of f(x) = x^3 - 2x^2 - 4x + 8, we can use the Rational Root Theorem to test possible rational roots. The only rational root is x = 2. The complex roots can be found by dividing the equation by (x - 2) and solving the resulting quadratic equation.

To find all zeros of the equation f(x) = x^3 - 2x^2 - 4x + 8, we can use the Rational Root Theorem to test possible rational roots. By factorizing the constant term, 8, and the leading coefficient, 1, we find that the possible rational roots are ±1, ±2, ±4, ±8. By testing these values in the equation, we can find that the only rational root is x = 2. To find the complex roots, we can use polynomial long division or synthetic division to divide the original equation by (x - 2) and solve the resulting quadratic equation.

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Answer:

<3=31

Step-by-step explanation:

since opposite angle are equal angle 3 and  the angle on the left side of 118 have to be equal. And since there are 180 degrees in a triangle,180-118=62,  62/2= 31 so  angle 3 is 31

hope this helps

ANSWER

[tex]\angle3 = 31\degree[/tex]

EXPLANATION

The adjacent angles of a parallelogram are supplementary.

The angle adjacent to 118° is

[tex]180 \degree - 118 = 62 \degree[/tex]

Since the diagonals bisect corner angles,

we divide the adjacent angle into two to obtain;

[tex] \angle3 = \frac{62 \degree}{2} = 31\degree[/tex]

Answer:the x intercept is (0,-7) that is number 9 and number 10 is (0,2)

Step-by-step explanation:

Answer:

theres the answer I got it right

Step-by-step explanation:

There are 12 inches in every feet and the area will be increased by 144 factors.

Feet and inches are the units of length. One inch is equal to 1/12 times the feet.

The length and the breadth are given as 11 feet and 13 feet.

The area of the bedroom is 143 square feet.

We know that 1ft = 12 in

So, The length would become 11 feet to 132 inches.

The breadth would become 13 feet to 156 inches.

The area would become

The area of the rectangle = length × Width

                                         = 132 ×  156

                                         = 20592 in .sq

The area of the bedroom increased by 144 factors.

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Answer:

1200 millimeters

Step-by-step explanation:

Given

Height=1 meter 20 centimeter

In order to convert the height into millimeter we have to convert to millimeter

We will have to convert the meters into centimeters and then centimeters into millimeter.

So,

We know that

1 meter=100 cm

So total height in centimeters will be:

1 meter 20 centimeter=100+20  

= 120 cm

In order to convert centimeters into millimeters, we will use

1 cm=10 millimeter  

To convert into smaller unit, multiplication is used,

So,

120 cm=120*10

=1200 mm

So the height in millimeter is 1200 ..

The total height of the robot can be obtained by converting meters and centimeters to millimeters. One meter equals 1000 millimeters and one centimeter equals 10 millimeters, so 1 meter and 20 centimeters equal 1400 millimeters.

To convert the robot's height from meters and centimeters to millimeters, we need to know that 1 meter equals 1000 millimeters and 1 centimeter equals 10 millimeters. On conversion, 1 meter and 20 centimeters equate to 1200 millimeters and 200 millimeters respectively. So, by adding these values we find that the total height of the robot in millimeters is 1400 millimeters.

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Answer:

Slope = 1/2

y-intercept = 30

Equation : y = 1/2x + 30

D. 150 miles

Step-by-step explanation:

We can use the two visible points you marked on the graph.

They are (0,30) which is also the y-intercept and (20,40).

Calculate change of y over change of x.

10/20 or 1/2

So the slope is 1/2 and the y-intercept is 30.

Therefore, using y = mx + b form, the equation is y = 1/2x + 30

Then, to find how many miles you drove if the cost was $105, we can plug in 105 for y in the equation.

105 = 1/2x + 30

75 = 1/2x

x = 150

The estimate and the answer of the given real numbers are:

Estimate    Answer

[tex]\dfrac{21}{4}[/tex]                5.25

[tex]\dfrac{4}{3}[/tex]                   1.33

[tex]\dfrac{4}{1}[/tex]                     4

Multiplication of real numbers.

The multiplication of real numbers (rational or irrational) can take different forms or processes. Here, we are to multiply the following numbers.

[tex]1\frac{3}{4} \times 3[/tex]

Let us convert the mixed fraction to an improper fraction to find the estimate.

[tex]\dfrac{7}{4} \times 3[/tex]

The estimate [tex]=\dfrac{21}{4}[/tex]

The answer  [tex]\dfrac{21}{4} = 5.25[/tex]

The second question:

[tex]\dfrac{8}{9}\times 1\dfrac{1}{2}[/tex]

[tex]=\dfrac{8}{9}\times \dfrac{3}{2}[/tex]

[tex]=\dfrac{4}{3}\times \dfrac{1}{1}[/tex]

Estimate = [tex]\dfrac{4}{3}[/tex]

Answer = 1.33

The third question

[tex]3\dfrac{1}{2}\times 1\dfrac{1}{7}[/tex]

[tex]=\dfrac{7}{2}\times \dfrac{8}{7}[/tex]

[tex]=\dfrac{1}{1}\times \dfrac{4}{1}[/tex]

Estimate = [tex]\dfrac{4}{1}[/tex]

Answer = 4

what does this have to do with math?

Answer:

Part 1) The value of x is 69°

Part 2) Angle 1=64.5°

Part 3) Angle 2=84.5°

Part 4) Angle 3=31°

Part 5) Angle 4=84.5°

Part 6) Angle 5=95.5°

Part 7) Angle 6=95.5°

Part 8) Angle 7=54.5°

Part 9) Angle 8=30°

Step-by-step explanation:

Part 1) Find the value of x

we know that

arc SN+arc QS+arc QP+arc PN=360° -----> by complete circle

substitute the values

60°+x°+(x+40)°+(2x-16)°=360°

solve for x

84°+4x°=360°

4x=276°

x=69°

Part 2) Find the measure of angle 1

we know that

The inscribed angle is half that of the arc it comprises

so

m∠1=(1/2)[arc QSN]

arc QSN=arc QS+SN

arc QSN=x+60°=69°+60°=129°

substitute

m∠1=(1/2)[129°]=64.5°

Part 3) Find the measure of angle 2

we know that

The measure of the inner angle is the semi-sum of the arcs that comprise it and its opposite

m∠2=(1/2)[arc SN+arc QP]

substitute the values

m∠2=(1/2)[60°+(x+40)°]

m∠2=(1/2)[60°+(69+40)°]

m∠2=(1/2)[169°]=84.5°

Part 4) Find the measure of angle 3

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

m∠3=(1/2)[arc PN-arc SN]

substitute the values

m∠3=(1/2)[(2x-16)°-60°]

m∠3=(1/2)[(2(69)-16)°-60°]

m∠3=(1/2)[62°]=31°

Part 5) Find the measure of angle 4

we know that

m∠4=m∠2 -----> by vertical angles

so

m∠4=84.5°

Part 6) Find the measure of angle 5

we know that

m∠5+m∠2=180° -----> by supplementary angles

so

m∠5+84.5°=180°

m∠5=180°-84.5°=95.5°

Part 7) Find the measure of angle 6

we know that

m∠6=m∠5 -----> by vertical angles

so

m∠6=95.5°

Part 8) Find the measure of angle 7

we know that

The inscribed angle is half that of the arc it comprises

so

m∠7=(1/2)[arc QP]

arc QP=(x+40)°=(69+40)°=109°

substitute

m∠7=(1/2)[109°]=54.5°

Part 9) Find the measure of angle 8

we know that

The inscribed angle is half that of the arc it comprises

so

m∠8=(1/2)[arc SN]

arc SN=60°

substitute

m∠8=(1/2)[60°]=30°

Answer:

32 square units

Answer:

C

Step-by-step explanation:

The right triangle on the right side of the figure has a height of 6 (two same sides lengths) and a base of 3.

x is the hypotenuse (side opposite of 90 degree angle).

We can use the pythagorean theorem to find x. The pythagorean theorem tells us to square each leg (height and base) of the triangle and add it. It should be equal to the hypotenuse square.

For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:

[tex]6^2 + 3^2 = x^2\\36 + 9 = x^2\\45 = x^2\\x=\sqrt{45}[/tex]

Now we can use property of radical  [tex]\sqrt{x}\sqrt{y}  =\sqrt{x*y}[/tex]  to simplify:

[tex]x=\sqrt{45} \\x=\sqrt{5*9} \\x=\sqrt{5} \sqrt{9} \\x=3\sqrt{5}[/tex]

Correct answer is C

Answer:

The correct answer is option C.  3√5

Step-by-step explanation:

Points to remember

For a right angled triangle

Hypotenuse ² = Base² + Height²

From the attached figure we can see a square and a right angled triangle associated with the square.

Sides of square = 6

To find the value of x

Base = 3 and height = 6

Hypotenuse  = x

x² = 3² + 6²

 = 9 + 36 = 45

x = √45 = 3√5

Therefore the  correct answer is option C.  3√5

Answer:

[tex]1.5m+1\leq 25[/tex]

Step-by-step explanation:

Given that Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee.

This activation fee is once for all and hence fixed independent of the number of songs.

Thus total amount available = 25 dollars

This should be spent for both activation fee and songs

Let number of songs = m

Total cost [tex]= 1.5m+1[/tex]

This cannot exceed 25 dollars

So the ineqality would be

[tex]1.5m+1\leq 25[/tex]

Answer: A) y = -5 cos(2x - π)

Step-by-step explanation:

[tex]\text{The standard form of a cosine equation is: y=A sin(Bx - C) + D}\\\\\bullet\text{A = amplitude}\\\\\bullet\text{Period = }\dfrac{2\pi}{B}\\\\\bullet\text{Phase Shift = }\dfrac{C}{B}\\\\\bullet\text{D = vertical shift (up if positive, down if negative)}[/tex]

In the given graph,

[tex]\implies \large\boxed{y = -5cos(2x-\pi)}[/tex]

see graph below for verification

Answer:

For every 1 cup of sugar there needs to be 3 cups of flour

Step-by-step explanation:

You add 3 more cups of flour for every one cup of sugar you add.

1 cup of sugar = 3 cups of flour

2 cups of sugar = 6 cups of flour

3 cups of sugar = 9 cups of flour

4 cups of sugar = 12 cups of flour

5 cups of sugar = 15 cups of flour

And so forth.

Hope this help you!

The answer is 26 miles.

Explanation:

10:30-8:00= 2:30.

10.4÷2=5.2

10.4 ×2÷ 20.8 +5.2= 26

It's the second option.

y = -2 sin x + 2

Tell me if I'm wrong :)

It looks spiker because my graph is more spread out with the intervals.

Answer: b) y = -2 sin x + 2

Step-by-step explanation:

The standard equation for a sine graph is: y = A sin (Bx - C) + D

[tex]\text{Amplitude (A) = }\dfrac{max-min}{2}=\dfrac{4-0}{2}=\dfrac{4}{2}=2\\\\\\\text{Vertical Shift (D) = max - amplitude = }4 - 2 = 2[/tex]

A sine graph starts at the origin and tends upward.  The given graph stars at the origin and tends downward so it is a reflection → - sin x

⇒ y = -2 sin x + 2

Answer:

[tex]y=Sin(x-\frac{\pi}{4})[/tex]

Step-by-step explanation:

The basic graph of y = Sin(x), starts at x = 0.

Looking at the graph, the basic sin curve starts at x = π/4

So this function is the parent sin function shifted π/4 units to the right.

Note:

y = Sin(x-a)  is the parent function ( y= Sinx) shifted a units right

y = Sin(x+a)  is the parent function shifted a units left

Since this function is shifted π/4 units right, the equation would be:

y = Sin (x-π/4)

The third answer choice is right.

Answer:

100 minutes?

lol

Answer:

5 minutes

Step-by-step explanation:

duh...

Answer:

Rectangular prism =2lw + 2lh + 2wh

Triangular prism = 2B + Ph

Pyramid =2ll + l²

Cylinder = 2π

Cone = πrl + πr²

Step-by-step explanation:

The matched shapes and their areas are:

Rectangular prism =2lw + 2lh + 2wh

Triangular prism = 2B + Ph

Pyramid =2ll + l²

Cylinder = 2π

Cone = πrl + πr²

A cylinder is a three-dimensional object. It is a prism with a circular base. A pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces.

A cone is a three-dimensional object that tapers to a vertex. A prism is  three-dimensional object that has two identical shapes facing one another.

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Answer:

[tex]D=14.56[/tex]

Step-by-step explanation:

We know that the diameter of a circle is twice the radius.

Calculate the radius of the circle with the formula for calculate the distance between two points:

[tex]d=r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where "r" is the radius.

Knowing that the center of the circle is at point (3, 1) and the circle passes through the point (1, -6), we can substitute values into the formula to find the radius:

[tex]r=\sqrt{(3-1)^2+(1-(-6))^2}=\sqrt{53}[/tex]

Then the diameter of the circle  is:

[tex]D=2r\\D=2\sqrt{53}[/tex]

[tex]D=14.56[/tex]