Which equation is set up correctly using the Pythagorean Theorem for the triangle below?

Which Equation Is Set Up Correctly Using The Pythagorean Theorem For The Triangle Below?

Answers

Answer 1

The equation that is set up correctly using the Pythagorean Theorem for the triangle below is 9^2 + x^2 = 15^2.

What is Pythagorean theorem?

The concept that will be used here is Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Pythagoras discovered that the square of the hypotenuse of a right-angled triangle, where one of the angles is 90 degrees, equals the sum of the squares of the other two sides:

According to theorem, the (adjacent)^2 + (opposite)^2 = (hypothenus)^2.

a^2+b^2=c^2

The 9^2 + x^2 = 15^2

Therefore, option C is correct.

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Related Questions

A rectangle pool is 11 feet wide and 12 feet long. The owner of the pool will create a rectangular walkway, 3 feet wide, around the pool. What is the area, in square feet, of the walkway?

Answers

The area of the walkway around swimming pool is 78 square feet.

The outer sides of the walkway will have a length of 12 feet and the breadth will be 11 feet.

The area of the pool along without the walkway will be 12 X 11 = 132 square feet.

The outer sides of the walkway will have a length of 15 feet and the breadth will be 14 feet after the owner create the walkway.

The area of the pool along with the walkway will be 15 X 14 = 210 square feet.

Therefore ,

area of the walkway will be:-

= 210 - 132

= 78 square feet.

so, the area of the walkway around swimming pool is 78 square feet.

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a car dealership has 24 sedans and 18 sports coupes on its lot. what is the ratio of sedans to sports coupes on the lot? responses 2:3 2 colon 3 3:2 3 colon 2 3:4 3 colon 4 4:3

Answers

The ratio of sedans to sports coupes on the lot is 2:3, which can also be expressed as 3:2, 3:4, or 4:3. This means that there are two sedans for every three sports coupes, or three sedans for every two sports coupes, etc.

The ratio of sedans to sports coupes on the lot can be expressed as a fraction, which is the number of sedans divided by the number of sports coupes. In this case, there are 24 sedans and 18 sports coupes, which can be written as 24/18. This fraction can be simplified to 2/3, which is equivalent to the ratio 2:3. This ratio can also be expressed as 3:2, 3:4, or 4:3, which means that there are two sedans for every three sports coupes, three sedans for every two sports coupes, three sedans for every four sports coupes, or four sedans for every three sports coupes. In summary, the ratio of sedans to sports coupes on the lot is 2:3, which can also be expressed in several other ways.

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A local company manufactures custom truck parts for big rigs. The company's average profit can be modeled by a(p) = 60p-3p, where alp) is the average profit in dollars per p parts produced. What is a reasonable domain for this function?

A. 0 to 10 parts
B. 0 to 14 parts
C. 0 to 18 parts
D. 0 to 20 parts

Answers

The reasonable domain for the Funtion is 0 to 14 parts. So,the correct option is B.

This function's domain is the set of all potential input values for the variable p. Because the variable p reflects the number of components generated, it must be non-negative.

Because the function is defined for p is larger than or equal to 0, the domain includes all non-negative p values. Because the function is linear, it is defined for all non-negative real numbers; however, in this case, the company manufactures custom truck parts for big rigs.

Which means the company may have a limit on the number of parts it can produce; this limit is 14 parts, so the reasonable domain for this function is 0 to 14 parts.

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33. let a d 2 4 1 0 4 0 3 2 2 6 3 3 5 and b d 2 4 4 1 4 3 5 . denote the columns of a by a 1, a 2, a 3, and let w d span fa 1; a 2; a 3g. a. is b in fa 1; a 2; a 3g? how many vectors are in fa 1; a 2; a 3g? b. is b in w ? how many vectors are in w ? c. show that a 1 is in w . [hint: row operations are unneces-sary.]

Answers

a1 is a linear combination of w1, w2, and w3, and is thus a vector in w.

a. No, b is not in fa 1; a 2; a 3g. There are 3 vectors in fa 1; a 2; a 3g.

b. Yes, b is in w. There are 4 vectors in w.

c. To show that a1 is in w, we need to show that a1 is a combination of the vectors in w. We can do this by constructing a linear combination of the vectors in w that results in a1. In this case, we can take w1 = (2, 4, 1, 0), w2 = (4, 0, 3, 2), and w3 = (2, 6, 3, 3). Now we can set up a linear combination of these vectors, with coefficients c1, c2, and c3, to equal a1. Thus, we have: c1(2, 4, 1, 0) + c2(4, 0, 3, 2) + c3(2, 6, 3, 3) = (2, 0, 0, 0). Solving for c1, c2, and c3, we get c1 = 2, c2 = -2, and c3 = 0. Therefore, a1 is a linear combination of w1, w2, and w3, and is thus a vector in w.

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Please help me do this

Answers

Answer:

1.  5 inches in 2 days

2.  y = (5/2)x. where y is rainfall and x is days.

3.  Yes

4.  (5/2)

5.  2.5"/day

6.  37.5 Inches

Step-by-step explanation:

See attached worksheet

.

Can someone help me please? I know the answer but the equation. Thanks.

Answers

Answer:

Equation is   x-5 = 37

Reason:

x = starting temperature

We start with x degrees, and decrease by 5 degrees.

We go from x to x-5

The x-5 is now 37 degrees

Therefore, we arrive at the equation x-5 = 37

To solve this equation, add 5 to both sides and you'll get x = 42

Nice work on getting the correct value of 42.

David took out a 20-year $70,000 loan from his bank in 2010. The quadratic equation that approximates the year/loan balance relationship is y = -98^2 - 1,531x + 69,718, where x is the number of years and y is the balance. In what year will his loan balance be $37,234?

A. 2022
B. 2023
C. 2024
D. 2025

Answers

his loan will be $37,234 in the year 2022.

What is a Quadratic equation?

ax2+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given, David took out a 20-year $70,000 loan from his bank in 2010.

The quadratic equation that approximates the year/loan balance relationship is y = -98*x^2 - 1,531x + 69,718,

where x is the number of years and

y is the balance

Since the Loan balance is given $37,234.

Thus to calculate the year

$37,234 = -98*x^2 - 1,531x + 69,718,

98 x² + 1534x - 32484 = 0

Comparing with the general form of the quadratic equation.

ax² + bx + c = 0

The discriminant b² - 4ac > 0 thus it has Two real roots.

using the Quadratic Formula

x = [tex]\frac{-b +- \sqrt{b^{2} - 4ac } }{2a}[/tex]

x = -27.62

and

x = 12

Thus year = 2010 + 12 = 2022

Therefore, In the year 2022, his loan will be $37,234.

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i need to explain how i got the answer also

Answers

The triangle proportionality theorem, used to evaluate the figures indicates that we get;

8. [tex]\overline{ST}[/tex] ║ [tex]\overline{PR}[/tex]

9. [tex]\overline{ST}[/tex] ║ [tex]\overline{PR}[/tex]

10. [tex]\overline{ST}[/tex] ∦ [tex]\overline{PR}[/tex]

11. x = 57.6

12. x = 27.3

13. x = 11

14. x = 10

15. x = 5

16. x = 17

What is the triangle proportionality theorem?

The triangle proportionality theorem states that, in a triangle, a line drawn parallel to one of the sides of a triangle and intersects the other two sides at two different points, then the ratio in which the other two sides are divided by the line are the same.

8. The triangle proportionality theorem indicates, if  [tex]\overline{ST}[/tex] and [tex]\overline{PR}[/tex] are parallel,   [tex]\overline{ST}[/tex] ║ [tex]\overline{PR}[/tex], we get; QS/SP = QT/TR

QS/SP = 7/11.2 = 0.625

QT/TR = 10/16 = 0.625

Therefore, QS/SP = QT/TR = 0.625, [tex]\overline{ST}[/tex] and [tex]\overline{PR}[/tex] are parallel

9. Where [tex]\overline{ST}[/tex] and [tex]\overline{PR}[/tex] are parallel,   [tex]\overline{ST}[/tex] ║ [tex]\overline{PR}[/tex], we get;

PS/SQ = RT/TQ

PS = 102 - 45 = 57

PS/SQ = 57/45 = 1.2[tex]\overline{6}[/tex]

RT/TQ = 41.8/33 = 1.2[tex]\overline{6}[/tex]

PS/SQ = RT/TQ, therefore, [tex]\overline{ST}[/tex] is parallel to [tex]\overline{PR}[/tex]

10. Where [tex]\overline{ST}[/tex] is parallel to [tex]\overline{PR}[/tex], we get;

QS/SP = QT/TR

QS/SP = 19/38 = 0.5

QT/TR =  24/52 = 6/13 ≠ 0.5

QS/SP ≠ QT/TR, therefore, [tex]\overline{ST}[/tex] ∦ [tex]\overline{PR}[/tex]

11. The triangle proportionality theorem, indicates that we get;

48/25 = x/30

x/30 = 48/25

x = (48/25) × 30 = 57.6

12. Making use of the triangle triangle proportionality theorem, we get;

(49 - 28)/28 = x/36.4

x/36.4 = (49 - 28)/28

x = ((49 - 28)/28) × 36.4 = 27.3

x = 27.3

13. 32/60 = (2·x + 6)/52.5

(2·x + 6)/52.5 = 32/60

(2·x + 6) = (32/60) × 52.5 = 28

(2·x + 6) = 28

2·x = 28 - 6 = 22

x = 22/2 = 11

x = 11

14. (x - 3)/21 = (x - 1)/27

27 × (x - 3)= 21 × (x - 1)

27·x - 27 × 3 = 21·x - 21

27·x - 21·x = -21 + 27 × 3 = 60

6·x = 60

x = 60/6 = 10

x = 10

15. (7·x - 11)/(4·x - 2) = 20/(35 - 20)

(7·x - 11)/(4·x - 2) = 20/(35 - 20) = 20/15

(7·x - 11)/(4·x - 2) = 20/15

15 × (7·x - 11) = (4·x - 2) × 20

105·x - 165 = 80·x - 40

105·x - 80·x = 25·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

x = 5

16. 35/(x - 3) = (x - 7)/4

35 × 4 = (x - 3) × (x - 7)

140 = x² - 10·x + 21

x² - 10·x + 21 - 140 = 0

x² - 10·x - 119 = 0

x² - 10·x - 7 × 17 = 0

x² + 7·x - 17·x - 17 × 7 = 0

x·(x + 7) - 17·(x + 7) = 0

(x + 7)·(x - 17) = 0

x = -7, or x = 17

Therefore, x = 17

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A right rectangular prism measures 12 cm tall, 8 cm long, and 5 cm wide.

A manufacturer would like to double the surface area of this prism. What should be the height of the new prism so that its surface area is doubled?

Enter your answer, to the nearest tenth, in the box

Answers

Answer: Volume of a right prism = BH where B is the area of the base and H is its height.

So Volume = 16 × 12 = 192 cm^3

Step-by-step explanation:

1. Provide an appropriate response.

Calculate the coefficient of determination, given that the linear correlation coefficient, r, is .845. What does this tell you about the explained variation and the unexplained variation of the data about the regression line?


2. Provide an appropriate response.

Calculate the coefficient of determination, given that the linear correlation coefficient, r, is 1. What does this tell you about the explained variation and the unexplained variation of the data about the regression line?


3. Provide an appropriate response.

Find the standard error of estimate, se, for the data below, given that = -2.5x.
x -1 -2 -3 -4
y 2 6 7 10


4. Provide an appropriate response.

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Find the standard error of estimate, se, given that y = 1.523x + 6.343
Gestation x -- 8, 2.1, 1.3, 1, 11.5, 5.3, 3.8, 24.3
Life Span y -- 30, 12, 6, 3, 25, 12, 20, 40

Answers

Answer: The coefficient of determination, r^2, is a measure of how well a linear regression model fits the data. It is calculated by squaring the linear correlation coefficient, r. In this case, r^2 = 0.845^2 = 0.7146. This tells us that 71.46% of the variation in the data is explained by the regression line, while 28.54% is unexplained.

The coefficient of determination, r^2, is a measure of how well a linear regression model fits the data. It is calculated by squaring the linear correlation coefficient, r. In this case, r^2 = 1^2 = 1. This tells us that 100% of the variation in the data is explained by the regression line, and 0% is unexplained.

The standard error of estimate (SEE) for a linear regression model is a measure of the average difference between the predicted values and the actual values. In this case, we can use the formula SEE = sqrt(SSE/n) where SSE is the sum of the squared differences between the predicted and actual values, and n is the number of observations. The given equation is y = -2.5x, so we can use this equation to find the predicted values and then calculate the SSE and SEE.

The standard error of estimate (SEE) for a linear regression model is a measure of the average difference between the predicted values and the actual values. In this case, we can use the formula SEE = sqrt(SSE/n) where SSE is the sum of the squared differences between the predicted and actual values, and n is the number of observations. The given equation is y = 1.523x + 6.343, so we can use this equation to find the predicted values and then calculate the SSE and SEE by using the given data.

would there be an ordered pair that is a sulution to both 4x + 3y < 12 and -x + 3y < = -3? explain

Answers

The ordered pair that is a solution of given two expressions is (3,0) .

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given expressions,

4x + 3y < 12

-x + 3y < -3

First find where the 2 lines intersect

4x + 3y = 12

-x + 3y = -3

Subtract :

5x = 15

x = 3

and y = -3 + 3 / 3 = 0

So they intersect at the point (3,0).

Therefore , The ordered pair that is a solution of given two expressions is (3,0) .

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does anyone know what 4/5 + 5/6 is and how to solve the problem

Answers

4/5 + 5/6

24+25/30

49/30

hope it will help you

can you talk with me?

3/2 because 4/6 + 5/6 = 3/2

PLSS HELP
What is the radical form of each of the given expressions?

Drag the answer into the box to correctly match each expression.

Answers

Answer:

SEE ATTACHED

Step-by-step explanation:

A cylindrical rod measures 8 inches long and the circumference of one of its bases is 8π inches. The rod is cut into two equally-sized pieces and then all surfaces are painted.

What is the area that is painted?

Use π≈3.14.

Enter your answer, rounded to the nearest tenth, in the box.

Answers

Answer:

128π in.² ≈ 402.1 in.²

Step-by-step explanation:

The rod can be cut into two equal sized pieces in different ways, so there are different answers to this question. I assume the question is asking when the rod's length is cut in half, so now there are two rods, each one being a cylinder with 4 inch height.

We need the area of the original rod and then add two more base areas.

C = 8π in.

r = 4 in.

total surface area = lateral area + 4 × area of base

SA = 8 in. × 8π in. + 4 × π × (4 in.)²

SA = 64π in.² + 64π in.²

SA = 128π in.² ≈ 402.1 in.²

Answer:

401.9

Step-by-step explanation:

I got this question wrong on my quiz

Find the distance between the two points.

Answers

Check the picture below.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~2 - (-3)~~)^2 + (~~3 - (-2)~~)^2} \implies d=\sqrt{(2 +3)^2 + (3 +2)^2} \\\\\\ d=\sqrt{( 5 )^2 + ( 5 )^2} \implies d=\sqrt{ 25 + 25 } \implies d=\sqrt{ 50 }[/tex]

Factor completely.
-3x² + 6x + 9 =

Answers

Answer:

-3(x - 3) (x + 1)

Step-by-step explanation:

Let's check

-3(x - 3) (x + 1)

(-3x + 9) (x + 1)

-3[tex]x^{2}[/tex] -3x + 9x + 9

-3[tex]x^{2}[/tex] + 6x + 9

Answer:

-3(x-3)(x+1)

Step-by-step explanation:

A common factor that all three numbers share is that they are divisible by 3, so we can factor 3 out. Typically, I take out the negative first:

-3([tex]x^2-2x-3[/tex]) (always remember to change signs!)

Now, we are left with [tex]x^2-2x-3[/tex], and to factor that out, we need to find two numbers that add up to -2 and multiply to -3. These two numbers will be 1 and -3, so we can write our factor like this:

(x-3)(x+1)

Let's add back in the -3 from earlier to complete our factoring:

-3(x-3)(x+1)

Find the value for the following determinant.

[ 2 3]
[ 1 4]



-5
5
11

Answers

Answer:

5

Step-by-step explanation:

(2x4)-(3x1)

=(8)-(3)

= 5

So its  5

Penelope mixed 6 ounces of apple juice concentrate with 9 ounces of water.
Which ratio of apple juice to water will make the same recipe?
A 45:30
B 42.60
C 42:63
D 9:6

Answers

Ratio of apple juice to water will make the same recipe is  42.60

What is the ratio formula?

Ratios are used to compare two numbers by dividing them. If you want to compare one data point (A) to another (B), your formula would be A/B. This signifies that you are dividing data A by data B. If A is five and B is ten, your ratio will be 5/10.

Add the elements of the ratio together to get the total number of shares.

Subtract the total value from the total number of shares.

Multiply by the number of necessary shares.

A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to one.

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400 pounds equals how many tons?

Answers

Answer:

400 pounds equal to 0.2 tons

a newly employed nurse administrator wants to know more about the employees on the units the administrator supervises. the manager accesses the managerial database and gathers data about all of the current employees on the unit, including work shift, number of years employed, age, gender, educational preparation, certifications, work history, and professional accomplishments, analyzing the data statistically. what type of quantitative research is this?

Answers

This is an example of a descriptive quantitative research study.

Descriptive quantitative research involves collecting and analyzing data to describe the characteristics of a population or phenomenon. In this case, the nurse administrator is gathering and analyzing data about the employees on the units they supervise, such as work shift, number of years employed, age, gender, educational preparation, certifications, work history, and professional accomplishments. Statistical techniques such as mean, median, and mode are used to analyze the data, allowing the nurse administrator to compare the characteristics of the employees across various dimensions. This type of research is used to develop an understanding of a given population or phenomenon, allowing for informed decision-making.

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Mr Musk bought a £75000 car at the beginning of the year 2016.
Each year the value of the car decreased by 8%.
a) Calculate the value of the car at the beginning of the year 2020.
Give your answer correct to the nearest £100

Answers

Answer:

53700

Step-by-step explanation:

Depreciation of every year is 8%, 2016-2017-18-19-20 - 4 years

in the beginning of 2017 it'll be 0.92*75000

so it'll be (1-8%)^4 = 0.71639

multiply by 75000 = 53729.  to the nearest 100 = 53700

Triangle ABC is dilated with the origin as the center of the
dilation. Which ordered pair could represent the image of
point C(5, 2) after the dilation?
0 (5,-2)
(-1,-4)
O (2.5, 1)
o (7.5, 4.5)

Answers

The ordered pair could represent the image of point C(5, 2) after the dilation is (2.5, 1)

Which ordered pair could represent the image after the dilation?

If we have a general point (x, y) and we apply a dilation with the origin as the center of a scale factor k, then the coordinates of the image after the dilation is (k*x, k*y)

Here we want to see which point can be the image of (5, 2) after the dilation, it will must have the form (k*5, k*2)

The only point that has this form is the one on the third option, where we can write:

(2.5, 1) = (k*5, k*2)

Then we have two equations:

2.5 = k*5

1 = k*2

Solving these we should get the same value of k.

2.5/5 = k = 0.5

1/2 = k = 0.5

so that is the correct option.

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a spherical snowball is rolled in fresh snow causing it grow so fast that its radius increases at a rate of 2 in/sec. how fast is the volume of the snowball increasing when the radius is 9 in

Answers

The volume is increasing at a rate of 784 * pi cubic inches per second.

The volume of a sphere is given by the formula V = (4/3) * pi * r^3, where r is the radius of the sphere.

We can find the rate of change of the volume with respect to time by taking the derivative of V with respect to time.

dV/dt = (4/3) * pi * 3r^2 * dr/dt

Given that the radius is increasing at a rate of 2 in/sec, we can substitute this value into the equation and find the rate at which the volume is increasing:

dV/dt = (4/3) * pi * 3 * 9^2 * 2 in^3/sec = 784 * pi in^3/sec

So, when the radius of the snowball is 9 inches, the volume is increasing at a rate of 784 * pi cubic inches per second.

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If SX=z, TW=6z–76, and UV=3z–24, what is the value of z?

Answers

The value of {z} is equivalent to 13.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that SX = z, TW = 6z - 76 and UV = 3z - 24.

We can write -

{z} + {6z - 76} = {3z - 24}

7z - 76 = 3z - 24

7z - 3z = - 24 + 76

4z = 52

z = 13

Therefore, the value of {z} is equivalent to 13.

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What kind of triangle is this please help me find the relationship and value please.

Answers

Answer: x=14°

Step-by-step explanation:

All angles of a triangle added together is 180°. So we can add the angles together.

7x-11+5x-2+2x-3=180           [combine like terms]

14x-16=180                             [add both sides by 16]

14x=196                                  [divide both sides by 14]

x=14

Therefore, x=14°.

Find the equation of the perpendicular bisector of AB where A and B are the points (3,6) and (-3,4) respectively. Also find its point of intersection with (i) x-axis and (ii) y-axis.

Answers

The point of intersection with x - axis is (5/3,0) and the point of intersection with y - axis is (0,5).  

Any point on AB's perpendicular bisector, P(x,y), shall be considered. Then, PA = PB.

√(x-3)²+(y-6)² = √(x+3)²+(y-4)²

(x-3)²+(y-6)² = (x+3)²+(y-4)²

x² -6x+ 9 + y²- 12y + 36 = x² +6x+ 9 + y²- 8y + 16

12x + 4y -20 = 0

3x+ y-5 =0 ---(1)  

Consequently, 3x+y-5=0 is the equation for the perpendicular bisector of AB.

We know that the coordinates of any point on x-axis are of the form (x,0). In other words, any point on the x-axis has a y-coordinate of zero. Thus, if we enter y = 0 in (1), we get

3x -5 = 0

x = 5/3

Thus, the x-axis is cut by the perpendicular bisector of AB at (5/3, 0).

(ii) Any point's y-axis coordinates have the following format: (0,y). When we enter x = 0 in (1), we obtain

y − 5 = 0

⇒ y = 5

Thus, the y-axis is where the perpendicular bisector of AB intersects (0,5).

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is the tendency for extreme scores on one variable to be followed by, or accompany, less extreme scores on another. a. the extreme return effect b. regression to the mean c. the robust average effect d. extreme minimization

Answers

The majority of human physical, mental, and personality factors have a mean in the middle of the distribution, where there are also the most cases. For example, in baseball, the rookie of the year often has a poor second season.

Correct answer is b) regression to the mean.

Regression to the mean is the propensity of outcomes that are extreme by chance on the first measurement to move closer to the average when tested a second time. Results that are susceptible to regression to the mean are those that are vulnerable to some degree of chance. When exceptional scores are the result of chance or a fluke, it's improbable that those extreme scores will be obtained again.

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what is the surface area ​

Answers

Answer:

518.4 cm²

Step-by-step explanation:

We have two triangles so

2 × (9×10/2) = 90

We have a base so

14 × 10  = 140

We have two other rectangles so

2 × 14 × 10.3 = 288.2

Now we add it all together

288.4 + 140 + 90 = 518.4

1. Michael is replacing a rectangular wooden gate in his backyard. The prefabricated gate is measured in inches and is shown below. What is the length, in inches, of the diagonal support lumber (AC) in this gate? Round to the nearest TENTH

Answers

The length of the diagonal support lumber is given as follows:

161.5 inches.

How to obtain the length of the diagonal?

The figure is a rectangle, hence the diagonals have equal measure, and thus the value of x can be obtained as follows:

15x + 13.25 = 17x + 4.5.

2x = 9

x = 4.5.

Hence the length of the  diagonal support lumber is obtained as follows:

2 x (15 x 4.5 + 13.25) = 161.5 inches.

We multiply by 2 as we are given half the length of the diagonal.

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Mr. Bernard needs to order boxes for his 18-inch diameter "Super Pizza. "

What is the approximate circumference of the Super Pizza? Use 3. 14 for π. Show your work.



What is the approximate area of the Super Pizza? Use 3. 14 for π. Show your work.

Please help and hurry!! Ty!!

Answers

The circumference of the Super Pizza is 56.52 inches  and approximate area of the Super Pizza 253.34 inches2.

To calculate the circumference of the Super Pizza
Circumference = π x diameter
Circumference = 3.14 x 18
Circumference = 56.52 inches

To calculate the area of the Super Pizza
Area = π x radius2
Area = 3.14 x (18/2)2
Area = 3.14 x 81
Area = 253.34 inches2

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