Answer:
6,24
Step-by-step explanation:
6,24^2-16= 22,9376 -> 23
A: A circle has a circumference of 45 cm. What is the BEST estimate of the circle’s diameter?
Answer:
14
Step-by-step explanation:
d=c/pi
45/pi=14
Answer:
14
Step-by-step explanation:
c = pi d
45 = 22/7 d
45 * 7/22 = d
2* 7 = d (approx.)
d = 14 approxiamtely
So the closest estimate dor d is 14
Hope it helps and if it does please mark me brainliest
I need help finding the sine of angle R
Answer:
the sine of angle R is 5/7.
Step-by-step explanation:
Recall that the sine function is defined as sin Ф = (opposite side) / hypotenuse.
The side opposite Angle R is √65 and the hypotenuse is √91.
Thus, the sine of angle R is sin R = √65 / √91, or 5/7.
How many pounds of clay do I need for 12 pounds of clay. You can use the same project more than once.
u need 12 pounds of clay for 12 pounds of clay?
What is the name of a polygon that has four congruent sides and these angle measures 80,100,80,100
Quadrilateral. If you add the angles up on any quadrilateral, it equals 360 (it should always add to 360 for a quadrilateral)
The polygon you're describing is a kite.
To verify this, let's calculate the sum of the interior angles of the polygon:
Sum of interior angles = [tex](n - 2) * 180 degrees[/tex]
For a polygon with 4 sides: [tex](4 - 2) * 180 = 360 degrees[/tex]
Now, let's add up the given angle measures: 80 + 100 + 80 + 100 = 360 degrees
Since the sum of the interior angles matches the calculated sum for a four-sided polygon, and the sides are congruent, the polygon is indeed a kite.
1. Calculate the sum of interior angles: The sum of interior angles of any polygon can be found using the formula (n - 2) * 180 degrees, where 'n' represents the number of sides. For a four-sided polygon, the sum is (4 - 2) * 180 = 360 degrees.
2. Add up the given angle measures: The given angle measures are 80, 100, 80, and 100 degrees. Adding them together gives a total of 360 degrees, which matches the sum calculated for a four-sided polygon.
3. Confirming the polygon type: Since the sum of the interior angles matches the calculated sum for a four-sided polygon, and the sides are congruent (meaning all sides have the same length), the polygon fits the definition of a kite.
Therefore, the polygon with four congruent sides and angle measures of 80, 100, 80, and 100 degrees is indeed a kite.
Complete question:
What is the name of a polygon that has four congruent sides and these angle measures 80,100,80,100
trigonometry help?
Answer:
x ≈ 6.7
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{8}[/tex]
Multiply both sides by 8
8 × tan40° = x, hence
x = 6.7 ( to 1 dec. place )
Write a complex number that lies above the real axis and to the right of the imaginary axis. Then write a complex number that lies below the real axis and to the left of the imaginary axis.
Answer:
Z = 5 + 3i and Z = -8 - 2i
Step-by-step explanation:
* Lets study the drawing of the complex numbers
- The x-axis is the real axis
- The y-axis is the imaginary axis
* Look to the attached figure
- Any point in the first quadrant is above the real axis and right
to the imaginary axis (Z4)
# Z = x + yi
- Any point in the second quadrant is above the real axis and left
to the imaginary axis (Z2)
# Z = -x + yi
- Any point in the third quadrant is below the real axis and left
to the imaginary axis (Z3)
# Z = -x - yi
- Any point in the fourth quadrant is below the real axis and right
to the imaginary axis (Z1)
# Z = x - yi
* Now lets solve the problem
- The point above the real axis and right to the imaginary axis lies
in the first quadrant
∴ The real part is positive and the imaginary part is positive
∴ Z = 5 + 3i
- The point below the real axis and left to the imaginary axis lies
in the third quadrant
∴ The real part is negative and the imaginary part is negative
∴ Z = -8 - 2i
A complex number that lies above the real axis and to the right of the imaginary axis could be '2 + 3i', while a complex number that lies below the real axis and to the left of the imaginary axis could be '-2 - 3i'. The direction in the coordinate system (upward or rightward is positive, downward or leftward is negative) determines the signs of real and imaginary components.
Explanation:In the complex plane, a complex number is considered to lie above the real axis if its imaginary part is positive, and to the right of the imaginary axis if its real part is positive. Hence, an example of a complex number that lies above the real axis and to the right of the imaginary axis is 2 + 3i, where 2 is the real part and 3i is the imaginary part.
Conversely, a complex number lies below the real axis if its imaginary part is negative, and to the left of the imaginary axis if its real part is negative. So, an example of such a number could be -2 - 3i, where -2 is the real part and -3i is the imaginary part.
Remember, in the coordinate system used to plot complex numbers, motion upward or to the right is usually considered positive, while motion downward or to the left is considered negative.
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20 points.
Please answer and explain if possible.
Multiply.
-2y^2 * xy^4
When the bases are the same, you can combine the exponents.
x³ [x is where the base is]
For example:
x³ · y² = x³y² You can't simplify this anymore because they have different bases/variables
[when you multiply a variable with an exponent by a variable with an exponent, you add the exponents together] so:
x² · x³ = [tex]x^{2+3}=x^5[/tex]
[when you multiply a variable with an exponent by an exponent, you multiply the exponents together] so:
(x³)²=[tex]x^{3*2}=x^6[/tex]
[tex]-2y^2*xy^4=-2x(y^{2+4})=-2xy^6[/tex]
Answer:
[tex]\large\boxed{-2xy^6}[/tex]
Step-by-step explanation:
[tex]-2y^2\cdot xy^4=(-2)(x)(y^2y^4)\\\\\text{use}\ a^na^m=a^{n+m}\\\\=-2xy^{2+4}=-2xy^6[/tex]
can someone help me please
Answer: is A
Step-by-step explanation:
Answer: 5 Times
Step-by-step explanation: P(roll 4) = 1/6
---
Expected # of 4 in 30 rolls = (1/6)*30 = 5
3(x−4)(x+3)−(x−5)^2
SIMPLIFY
Answer:
2x^2+7x-61
Step-by-step explanation:
Round 6190 to the nearest hundred
Answer:
6200
You're rounding to the nearest hundreds place. so every number behind that needs to be a "0"
Anne bought 3 hats for $19.50. which equation could be used to find the cost of each equation?
Answer:
19.50 divided by 3
Step-by-step explanation:
Answer:
3h = 19.50
Step-by-step explanation:
First lets define the price of each hat as the variable h.
Next we know that there are 3 hats so we can write that variable as 3h
We also know that the cost of all 3 hats was $19.50. This means that we can set each side of this equation equal to each other.
This gives us the equation 3h = 19.50
If you were to solve for h, you would get
[tex]h = \frac{19.50}{3}[/tex]
Which would simplify to
h = 6.50
This means that each hat costs $6.50
please help
-) A garden's length is 6m greater than its width.
The area of the garden is 720 m²
What is the length of the garden?
Answer:
Length of garden will be 30 metres.
Step-by-step explanation:
Let the Width of garden be x metres.
then,
Length of garden will be (x+6) metres.
Area = Length × Breadth
720 = x X (c+6)
720 = x²+6x
0 = x²+6x-720
As we can see above equation is a quadratic equation in the form of ax²+bx+C.
so,
[tex] = \frac{ - b ± \sqrt{{b}^{2} - 4ac} }{2a} \\ = \frac{ - 6 ± \sqrt{{6}^{2} - 4 \times 1 \times - 720} }{2} \\ = \frac{ - 6 ± \sqrt{36 + 2880} }{2} \\ = \frac{ - 6 ± \sqrt{2916} }{2} \\ = \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2} \\ = \frac{48}{2} ... \frac{ - 60}{2} \\ = 24... - 30[/tex]
One of the Roots of the Quadratic equation is 24 and other is -30.
And as we know width of any garden cannot be negative so the width of garden will be 24 metres.
As we got the width,
adding 6 to it will give us the Length,
So,
24 metres + 6 = 30 metres.
Length of the garden is 30 metres.
Hope It Helped You ;)
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Find the mean absolute deviation of the following set of data.
31.8, 22.6, 13.8, 16.4, 28.1
A. 112.7
B. 4.96
C. 5.592
D. 18.78
Answer:
Population size:5
Mean (μ): 22.54
Mean Absolute Deviation (MAD): 5.952
Step-by-step explanation: i hope this helps!!!
plz give 5 star & thanks!
Answer:
5.592
Step-by-step explanation:
Solve this system of linear equations. Separate the x- and y-values with a comma. -3x=42-16y 14x=76-16y
To solve the given system of linear equations -3x = 42-16y and 14x = 76-16y, use the method of elimination to find the solution (20-6y, y).
Explanation:To solve the system of linear equations -3x = 42-16y and 14x = 76-16y, we can use the method of substitution or elimination. Let's use the method of elimination:
Multiply the first equation by 2 to make the coefficients of y in both equations equal. The equations become:
-6x = 84-32y and 14x = 76-16y
Add the two equations together:
-6x + 14x = 84-32y + 76-16y
Simplify:
8x = 160-48y
Rearrange the equation to solve for x:
x = (160-48y)/8
Simplify further:
x = 20-6y
The solution to the system of equations is x = 20-6y. To separate the x- and y-values, we write it as (20-6y, y).
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Evaluate the function f(x)=3x-2 When X equals -1
-9
-5
1
5
the answer is negative 5
It’s negative 5, because you have to substitute the x in 3x for negative one, so the equation looks like f(x)= 3(-1) - 2. Then, you solve
Radius BE is a perpendicular bisector of chord AC. What is the measure of
A. 100°
B. 50°
C. 90°
D. 40°
Answer:
A. 100
Step-by-step explanation:
50 + 50 + 100
Answer:
A. 100°
Step-by-step explanation:
Let's take a look at the image and make some conclusions.
Angle BAE is 40 degrees
All angles at the crossing of BE and AC are right angles (90 degrees) because they are perpendicular lines.
Since BE is a bisector of angle ABC, we know that angles ABD and DBC are equal.
We don't know angle ABD but it's easy to find... since we know 2 angles from triangle ABE, and the sum of the interior triangles is 180. So,
ABD = 180 - 40 - 90 = 50
Since ABD is 50 degrees and represents half of angle ABC... we know that ABC is 100 degrees.
The figure below is a net for a triangular prism. Side a = 22 feet, side b = 14 feet, side c = 13 feet, side d = 13 feet, and side e = 19 feet. What is the surface area of this figure?
A. 1,194 square feet
B. 908 square feet
C. 1,172 square feet
D. 1,216 square feet
Answer:
the answer is 1,194
Step-by-step explanation:
what you want to do is find the area of 2 triangles and 3 rectangles
area of 1st rectangle
1 = ae
=(22 ft) (19 ft)
=418 sq. ft.
area of 2nd rectangle
2 = ab
=(22 ft.) (14 ft.)
=308 sq. ft.
area of 3rd rectangle
3=ad
=(22 ft.) (13 ft.)
=286 sq. ft.
area of 1st triangle
Area of triangle = 1/2 cb
=1/2 (13ft) (14ft)
= 1/2 (182 sq. ft)
=91 sq. ft.
***this would be the same for 2nd triangle*** 91 sq ft.
Next add all areas together to get the total surface area
Total surface area = ae + ab + ad + 2 (1/2 cb)
= 418 sq. ft + 308 sq. ft. + 286 sq. ft. + 2(91 sq. ft)
=418 + 308 + 286 + 182
= 1,194 sq. ft.
Find the slope of a line perpendicular to y=3x+7.
Answer:
-1/3
Step-by-step explanation:
lizzy gets her paycheck every 10 days. Her husband, Don gets a paycheck every 14 days. On July 3, they both get a paycheck. How many days will pass before they both get check on same day
5 weeks .... 35 days
Lizzy and Don will both receive their paychecks on the same day after 70 days, as 70 is the Least Common Multiple (LCM) of their paycheck intervals of 10 and 14 days.
Lizzy and Don are trying to find out when they will both receive their paychecks on the same day again. To solve this, we need to find the Least Common Multiple (LCM) of their paycheck intervals which are 10 days for Lizzy and 14 days for Don. The LCM of 10 and 14 is the smallest number that both 10 and 14 can divide into without leaving a remainder.
Let's list the multiples of each:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, ...
The smallest common multiple they share is 70. This means that after 70 days, both Lizzy and Don will receive their paychecks on the same day again.
two lines are intersecting what is the value of x
Answer:
[tex]x=111[/tex]
Step-by-step explanation:
Since these angles are supplementary, they add up to 180°.
Let's make an equation.
[tex]360=(x+23)+(2x+4) \\ \\ 360=x+23+2x+4 \\ \\ 360=3x+27 \\ \\ 3x=333 \\ \\ x = 111[/tex]
Answer:
[tex]x=51[/tex]
Step-by-step explanation:
We have been given an image of two intersecting lines. We are asked to find the value of x.
We can see that both angles are supplementary, so we can set an equation as:
[tex]x+23+2x+4=180[/tex]
[tex]x+2x+4+23=180[/tex]
[tex]3x+27=180[/tex]
[tex]3x+27-27=180-27[/tex]
[tex]3x=153[/tex]
[tex]\frac{3x}{3}=\frac{153}{3}[/tex]
[tex]x=51[/tex]
Therefore, the value of x is 51.
There are 323 servings in a 14.5 ounce bottle of salad dressing. How many ounces is in one serving?
———————————————
How do I solve problems like this one?
22.27
You need to divide the amount of servings by the amount of ounces in total
Joe says that the following statement is true. Do you agree? Explain. 4×3)3+5-10=4×3+5-10
Answer:
The answer is True. Hope this helps. :)
Step-by-step explanation:
( 4 x 3 ) 3 + 5 - 10 = 4 x 3 + 5 - 10
(4x3) = 12 3 + 5 = 8 4 x 3 = 12 3 + 5 = 8This is basically an example of PEMDAS.
Perimeter
Equation
Multiplication
Division
Addition
Subtraction
(Multiplication is ahead of Addition, you multiply first)
I need to find the scale factor
5x < 45
please help
ANSWER
[tex]x \: < \: 9[/tex]
EXPLANATION
The given inequality is
[tex]5x \: < \: 45[/tex]
We divide through by 5 to get:
[tex]x \: < \: \frac{45}{5} [/tex]
This will simplify to
[tex]x \: < \: 9[/tex]
Therefore the solution to the inequality is
[tex]x \: < \: 9[/tex]
x < 9
Start with 5x < 45.
Divide both sides of the inequality by 5 to get x < 45 / 5, or x < 9.
The function h is defined by h(x)=(20x−k)÷x+50, where k is a constant. Find k, if the value of ℎ at x=20 is equal to 65.
ANYONE WHO GETS THIS RIGHT GETS 50 POINTSSSSS!!!!!!!!!!!!!!!! i mean it OH AND BRAINLIEST
Answer:
The value of k is [tex]K=100[/tex]
Step-by-step explanation:
we know that
[tex]h(x)=\frac{20x-k}{x}+50[/tex]
we have
[tex]x=20\\ h(20)=65[/tex]
substitute in the function and solve for k
[tex]65=\frac{20(20)-k}{20}+50[/tex]
[tex]65-50=\frac{400-k}{20}[/tex]
[tex]15=\frac{400-k}{20}[/tex]
[tex]15*20=400-k[/tex]
[tex]300=400-k[/tex]
[tex]k=400-300=100[/tex]
Answer:
K=100
Step-by-step explanation:
g(1)=2.7
g(n)=g(n-1)*6.1
find an explicit formula for g(n)
By substitution,
[tex]g(2)=6.1g(1)[/tex]
[tex]g(3)=6.1g(2)=6.1^2g(1)[/tex]
[tex]g(4)=6.1g(3)=6.1^3g(1)[/tex]
and so on, so that
[tex]g(n)=6.1^{n-1}g(1)=2.7\cdot6.1^{n-1}
Answer:
2.7(6.1)^(n-1)
Step-by-step explanation:
[(6.1)^(n-1)]*g(1)
=[(6.1)^(n-1)]*2.7
=2.7*(6.1)^(n-1)
Which polynomial is equal to (x + 1)(2x + 1)
Answer:
2x^2+3x+1
Step-by-step explanation:
FOIL
Answer:
2x^2+3x+1, I believe.
Step-by-step explanation:
Multipy 'em
find 2 different ways to make the addition problem work. each letter stands for the same digit 0 to 9 whenever it is used
The addition problem can be solved in two ways: treating each column separately without carrying and writing down the sum of each column even if it is 10 or more. Examples demonstrate each method using single-digit addition without carrying and adjusting sums that exceed single digits.
Explanation:The question at hand involves solving a unique addition problem where each letter corresponds to a digit between 0 and 9. To find 2 different ways to make the addition problem work, we need to apply traditional addition rules along with the clues provided.
First, let's analyze the given examples:
42 + 59 equals 911 - This suggests that each digit is added independently, without carrying over to the next column. Adding 2 and 9 gives 11, placed in the units column. 4 and 5 give 9, placed in the tens column.23 + 54 equals 77 - This result follows the standard addition rules with carrying over.To construct two solutions, let's use the same principle:
For the first way, treat each column separately without carrying. For example, 35 + 46 would equal 711 (5+6 = 11 and 3+4 = 7).For the second way, consider a different interpretation where numbers in each column that add up to 10 or more result in just writing down the sum. For instance, 85 + 78 would equal 1513 (5+8 = 13, and 8+7 = 15).It's important to follow the instructions closely and understand that digits in these sum calculations are handled independently based on the context provided.
In the triangle ABC , AB=17cm,BC=9cm and angle ACB=90°
Calculate AC
I believe the answer is 14.42
The length of AC is 14.42 in the triangle ΔABC where AB=17cm, BC=9cm and angle ∠ACB=90°. This can be obtained by using Pythagoras' theorem.
What is Pythagoras' theorem?Pythagoras' theorem states that the sum of squares of the legs of a right triangle is equal to the square of the hypotenuse, that is,⇒ a² + b² = c²Calculate the side AC of ΔABC:Given that, AB=17cm, BC=9cm and angle ∠ACB=90°.
By using Pythagoras' theorem,
AB² = AC²+BC²
17² = AC²+9²
AC² = 17²-9² =289-81 = 208
AC = √208 =14.42
⇒AC = 14.42cm
Hence the length of AC is 14.42 in the triangle ΔABC where AB=17cm, BC=9cm and angle ∠ACB=90°.
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what decimal is equivalent to 13/11
Answer:
1.1818...
Step-by-step explanation:
Divide 13 by 11
13 ÷ 11 = 1.1818...
Answer: 1.1818...
The decimal 1.182 is equivalent to 13/11.
How to convert a fraction to a decimal?A fraction can be converted to a decimal by dividing the numerator by the denominator.
We can convert the given fraction into decimal form as shown below:The fraction is given as 13/11.
The numerator is 13 and the denominator is 11.
We are asked to find the decimal form of the given fraction.
This can be done by simplifying the fraction and dividing the numerator by the denominator.
This can be done as shown below:
The fraction = 13/11
= 1.1818
≈ 1.182
The decimal form of the fraction is found. The decimal form of the fraction is 1.182.
Therefore, we have found that the decimal 1.182 is equivalent to 13/11.
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