match the following. 1. a length equal to the height in a square 2. any rhombus can be created by rotating this shape around the midpoint of its base 3. found by dividing 360 by the number of sides of a regular polygon 4. height of a parallelogram 5. each angle in a rectangle 6. a special type of trapezoid 7. perpendicular distance from the center of a regular polygon to its side 8. a special type of regular polygon
Altitude
base
apothem
parallelogram
isosceles triangle
right angle central angle

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{4 }{7 +3} \implies \cfrac{ 4 }{ 10 } \implies \cfrac{2 }{ 5 }\)

Answer:

y = x^58/5

Step-by-step explanation:

Nothing further can be done with this topic. just remove the parentheses and it becomes x^58 and u cannot dive because they’re like terms

Answer:

10 i think

Step-by-step explanation:

Answer: 10 pounds per year

The given unit rate is 30 pounds every 3 years.

Now, we will divide 30 pounds by 3 years.

30 pounds ÷ 3 years = 10 pounds per year

The answer is 10 pounds per year.

Answer:

Step-by-step explanation:

The value of 4 + n when n = 17

4 + n =

4 + 17 = 21

Step-by-step explanation:

please mark me as brainlest

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

Factor each of the following differences of two squares and write your answer together with solution.

\( \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}\)

\( \sf \: x ^ { 2 } - 36\)

Rewrite \(\sf\:x^{2}-36 as x^{2}-6^{2}\). The difference of squares can be factored using the rule:\(\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)\).

\( \boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}\)

__________________

\( \sf \: 49 - x ^ { 2 }\)

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: \(\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)\).

\( \sf \: \left(7-x\right)\left(7+x\right) \)

Reorder the terms.

\( \boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}\)

__________________

\( \sf \: 81 - c ^ { 2 }\)

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: \(\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)\).

\( \sf\left(9-c\right)\left(9+c\right) \)

Reorder the terms.

\( \boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}\)

__________________

\( \sf \: m ^ { 2 } n ^ { 2 } - 1\)

Rewrite m²n² - 1 as \(\sf\left(mn\right)^{2}-1^{2}\). The difference of squares can be factored using the rule: \(\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)\).

\( \boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}\)

The square root of 169 is indeed 13.When simplifying the square root of a perfect square (a number that has an exact integer square root), we find the square root by identifying the largest perfect square factor of the given number. In this case, 169 is a perfect square because it can be expressed as 13^2.

To simplify the expression √169, we need to find the square root of 169. The square root of a number is a value that, when multiplied by itself, equals the original number.

In this case, we can calculate the square root of 169 as follows:

√169 = 13

So, the simplified form of the expression √169 is 13.

To verify this result, we can square 13 to check if it equals 169:

13^2 = 169

Therefore, the square root of 169 is indeed 13.

In general, when simplifying the square root of a perfect square (a number that has an exact integer square root), we find the square root by identifying the largest perfect square factor of the given number. In this case, 169 is a perfect square because it can be expressed as 13^2.

Taking the square root of a perfect square yields the positive and negative square roots of that number. However, when referring to the principal square root (which is typically denoted by the radical symbol), we consider only the positive square root.Hence, the simplified form of √169 is 13.

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Answer:

n=11

Step-by-step explanation:

an=a1+(n-1)d

14=-36+(n-1)5

14=-36+5n-5

14+36+5=5n

55=5n

n= 11

When Krissa exercises daily by walking and she aims to walk at a steady rate of 3.4 miles per hour:

a) The equation is d = 3.4t;

b) Krissa will walk 2.13 miles;

c) It will take Krissa 1.6 hours to walk 5.44 miles.

When Krissa exercises daily by walking and she aims to walk at a steady rate of 3.4 miles per hour:

a. The equation that models the relationship between time and distance is:

d = 3.4t

where d is the distance Krissa walks in miles and t is the time she spends walking in hours.

b. To calculate the distance Krissa will walk in 5/8 of an hour, we can substitute t = 5/8 into the equation from part a:

d = 3.4(5/8) = 2.125 miles

Therefore, Krissa will walk 2.125 miles in 5/8 of an hour, rounded to the hundredths.

c. To calculate how long it will take Krissa to walk 5.44 miles, we can rearrange the equation from part a to solve for t:

t = d/3.4

Substituting d = 5.44 into this equation, we get:

t = 5.44/3.4 = 1.6 hours

Therefore, it will take Krissa 1.6 hours to walk 5.44 miles.

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The IQR of 13 is the most accurate measure of variability to represent the data, as it provides a more accurate representation of the typical donations received by the charity.

The range is the difference between the highest and lowest values in a dataset.

In this case, the range is,

⇒ 49 - 10 = 39.

However, the range is sensitive to outliers, which can skew the data and make it less representative of the typical donations received.

The IQR is a measure of variability that is less sensitive to outliers than the range.

It is the difference between the third quartile (Q3) and the first quartile (Q1) of the dataset.

In this case, Q1 = 42

and Q3 = 49,

so the IQR is ,

IQR = 49 - 42

IQR = 7.

The IQR represents the middle 50% of the data and is a good measure of the spread of the typical donations received by the charity.

Therefore, the IQR of 13 is the most accurate measure of variability to represent the data, as it provides a more accurate representation of the typical donations received by the charity.

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Complete question is,

A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data. 10, 11, 35, 39, 40, 42, 42, 45, 49, 49, 51, 51, 52, 53, 53, 54, 56, 59

Which measure of variability should the charity use to accurately represent the data? Explain your answer.

A: The range of 13 is most accyrate to use since the data is skewed

B: The IQR of 49 is most accurate to use to show that they need more money.

C:The range of 49 is the most accurate to use to show that they have plenty of money

D: The IQR of 13 is the most accurate to use since the data is skewed​

Answer:

5/8

Step-by-step explanation:

To find the slope, use the formula

m = (y2-y1)/(x2-x1)

   = (2 - -3)/(6 - -2)

   = (2+3)/(6+2)

   = 5/8

Answer:

B

Step-by-step explanation:

Answer:

x=-9

Step-by-step explanation:

Answer:

9m

Step-by-step explanation:

3/4 = 0.75

each piece = 0.75

0.75x12=9

Answer:

9 meters.

Step-by-step explanation:

Because there are 12 pieces that were cut.

If each were 3/4 meters then what is 3/4 x 12= 9 meters and that were the length

Have a great afternoon Hope this helps:)

Answer:

$31.95 Before tip.

Step-by-step explanation:

I believe you should just add 17.75+80%=31.95

Answer: Let's write an equation to represent the cost of s square feet of fabric during the sale, considering the 10% discount.

The regular price of the fabric is $4.90 per square foot. The discount reduces the price by 10%. To calculate the sale price, we need to subtract the discount amount from the regular price.

Let's denote the cost of s square feet of fabric during the sale as C(s).

The regular price per square foot is $4.90. Therefore, the discount amount per square foot is (10/100) * $4.90 = $0.49.

The sale price per square foot is the regular price minus the discount amount:

Sale price per square foot = $4.90 - $0.49 = $4.41.

Now, we can write the equation for the cost of s square feet of fabric during the sale:

C(s) = $4.41 * s

This equation represents the cost of s square feet of fabric during the sale.

To show the change in the cost of fabric, we can write a transformation from the regular price to the sale price:

Regular price: $4.90 per square foot

Sale price: $4.41 per square foot

The transformation can be expressed as:

Sale price = (1 - 10/100) * Regular price

This shows that the sale price is obtained by multiplying the regular price by (1 - 10/100), which represents the 10% discount.

Answer:

4.41

Step-by-step explanation:

4.90 *.90 = 4.41

There are 24 data values in the data set, the minimum value in the last class is 40, the frequency of the modal class is 6, and 17 of the original values are greater than 30.

To determine the number of data values, we sum up the frequencies listed in the stem-and-leaf plot: 9 + 9 + 12 + 5 = 35. However, we need to adjust for the fact that each data point is represented by two digits.

So, the total number of data values is 35/2 = 17.5. Since we can't have a fraction of a data value, we round down to the nearest whole number, which gives us 17 data values.

The minimum value in the last class is determined by the last digit of the stem-and-leaf plot, which is 4#. The minimum value in this class is 40.

The modal class is the class with the highest frequency, which is 3#. The frequency of this class is given as 6.

To find how many of the original values are greater than 30, we need to consider all the values represented in the stem-and-leaf plot.

From the plot, we can see that there are 5 values in the class 3# (31, 32, 34, 34, and 36) and 3 values in the class 4# (40, 47, and 47). Adding these together gives us a total of 8 values that are greater than 30.

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Answer:

30 i think

Step-by-step explanation:

The fabric needed for both pieces is 94/12 yards

Fractions are ratio of two integers. Fractions are written in the form of a/b.

Given the following parameters

Measure of dress fabric = 4 1/4 yards

If the matching jacket requires 2/3 yards less fabric, the amount of the other fabric is (17/4 - 2/3) = 17(3)-2(4)/12= 43/12 yards

Determine the total fabric.

Total fabric = 17/4 + 43/12

Total fabric = 51+43/12

Total fabric = 94/12

Hence the fabric needed for both pieces is 94/12 yards

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Answer:

The set of numbers that could not represent the three sides of a right triangle are;

{9, 24, 26}

Step-by-step explanation:

According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;

r² = x² + y²

Where;

r > x, r > y

Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;

Set 1;

95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle

Set 2;

82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle

Set 3;

26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle

Set 4;

39² = 36² + 15², therefore, set 4 represents the three sides of a right triangle

The two x-intercepts of the function f are 0 and -4.

The x-intercept of a function is a point on the x-axis where the graph of the function intersects the x-axis. In other words, it is a point where the y-value (or the function value) is equal to zero.

According to the given information:

To use Rolle's Theorem to find the x-intercepts of the function f(x) = x√(x+4) and show that f(x) = 0 at some point between the two x-intercepts, we need to follow these steps:

Step 1: Find the x-intercepts of the function f(x) by setting f(x) = 0 and solving for x.

Setting f(x) = x√(x+4) = 0, we get x = 0 as one x-intercept.

Step 2: Find the derivative of the function f'(x).

f'(x) = d/dx (x√(x+4)) (using the product rule of differentiation)

= √(x+4) + x * d/dx(√(x+4)) (applying the chain rule of differentiation)

= √(x+4) + x * (1/2√(x+4)) * d/dx(x+4) (simplifying)

= √(x+4) + x * (1/2√(x+4)) (simplifying)

Step 3: Check if f'(x) is continuous on the closed interval [a, b] where a and b are the x-intercepts of f(x).

In our case, the x-intercepts of f(x) are 0, so we check if f'(x) is continuous at x = 0.

f'(x) is continuous at x = 0, as it does not have any undefined or discontinuous points at x = 0.

Step 4: Check if f(x) is differentiable on the open interval (a, b) where a and b are the x-intercepts of f(x).

In our case, f(x) = x√(x+4) is differentiable on the open interval (-∞, ∞) as it is a polynomial multiplied by a radical function, which are both differentiable on their respective domains.

Step 5: Apply Rolle's Theorem.

Since f(x) satisfies the conditions of Rolle's Theorem (f(x) is continuous on the closed interval [0, 0] and differentiable on the open interval (0, 0)), we can conclude that there exists at least one point c in the open interval (0, 0) such that f'(c) = 0.

Step 6: Find the value of c.

To find the value of c, we set f'(c) = 0 and solve for c.

f'(c) = √(c+4) + c * (1/2√(c+4)) = 0

Multiplying both sides by 2√(c+4) to eliminate the denominator, we get:

2(c+4) + c = 0

Simplifying, we get:

3c + 8 = 0

c = -8/3

So, the point c at which f'(c) = 0 is c = -8/3.

Step 7: Verify that f(x) = 0 at some point between the two x-intercepts.

f(c) = f(-8/3) = (-8/3)√((-8/3)+4) = (-8/3)√(4/9) = (-8/3)(2/3) = -16/9

Since f(c) = -16/9, which is not equal to 0, we can conclude that f(x) = 0 at some point between the two x-intercepts.

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Answer:

the answer is (s)

Step-by-step explanation:

(of lines, planes, surfaces, or objects) side by side and having the same distance continuously between them

The eigenvectors v1 and v2 are such that when multiplied by matrix A, they result in scalar multiples of themselves (scaled by their respective eigenvalues).

An eigenvector is a non-zero vector that, when multiplied by a matrix, results in a scalar multiple of itself. In other words, if A is a square matrix and v is an eigenvector of A, then Av = λv, where λ is the eigenvalue associated with v.

Given the eigenvalues and eigenvectors for matrix A as λ1 = 2, v1 = [-5 1]ᵀ and λ2 = 6, v2 = [5 4]ᵀ, we can say that:

- Av1 = λ1v1 = 2[-5 1]ᵀ = [-10 2]ᵀ
- Av2 = λ2v2 = 6[5 4]ᵀ = [30 24]ᵀ

Therefore, the eigenvectors v1 and v2 are such that when multiplied by matrix A, they result in scalar multiples of themselves (scaled by their respective eigenvalues).

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Answer:

The Impressionist period was distinctive because composers were focused on creating an impression through building atmospheres, pictures, and sound worlds with music. Composers Debussy and Ravel were at the forefront of this ground-breaking musical style.

Answer:

2 1/3 ft^2

Step-by-step explanation:

Take the area of the rectangle

A = l *w

   4 * 1 1/6

   4 * 7/6

  28/6

Divide this in half since the rectangle is cut in half by using the diagonal

28/6 *1/2

28/12

7/3

Changing to a mixed number

2 1/3

The derivative dy/dx for the function y = x - 7cos(x) is 1 - 7sin(x).

To find the derivative dy/dx for the function y = x - 7cos(x), we use the rules of differentiation. Using the sum rule, the derivative of the function y = x - 7cos(x) can be found by taking the derivative of each term separately.

The derivative of the term "x" with respect to x is simply 1.

To find the derivative of the term "-7cos(x)", we use the chain rule. The derivative of cos(x) with respect to x is -sin(x), and then we multiply it by the derivative of the inner function x with respect to x, which is 1.

Therefore, the derivative of "-7cos(x)" with respect to x is -7sin(x).

Combining these derivatives, we have:

dy/dx = 1 - 7sin(x)

y = x - 7cos(x) is 1 - 7sin(x).

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Given:

Leo had $91, which is 7 times as much money as Alison had.

Let x represents Alison's money.

So, the expression for Leo's money is,

Divide both sides of the above equation by 7.

So, Alison had $13.

Therefore, the correct solution method is

A) 7x = 91. Divide both sides by 7. Alison had $13.

The Solution:

The correct answer is [Graph A]

Given the graphs below:

The polygon A(-4, 4) B(-2, 4) C(-1, 1) D(-3, 1) is rotated 180° about the origin and then reflected in the y-axis will give us Graph A.

Therefore, the correct answer is [Graph A]

Using the numbers 1 to 9 (one time each), the boxes can be filled in the following way to make the equation true. 2:2 = 3×3:9 = 4×4 =16.

An arithmetic contrast among two numbers is known as a percentage. Two sets of provided numbers are considered to be approximately equal with respect to one another in conformity with the rules of proportion if they increase or decrease by the same ratio.

We must create the equation to prove the equality by utilizing each of the numerals 1 through 9 once. Any of the numbers between 1 and 9 are equivalent to 1 and 2.

Let the ratio equal 1.

The comparable ratios are therefore 1:1, 2:2, and 3:3.

2:2 = 3×3:9 = 4×4 =16

Therefore, using the numbers 1 to 9 (one time each), the boxes can be filled in the following way to make the equation true. 2:2 = 3×3:9 = 4×4 =16.

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