MATHEMATICS HIGH SCHOOL

An architect is building a model of tennis court for a new client. the court is 7 inches wide and 13 inches long an official tennis court is 32 feet wide. what is the length of a tennis court?

Answers

Answer 1

Answer:

Answer: 59.4285714 feet approximately

Work Shown

(7 inches)/(32 feet) = (13 inches)/(x feet)

7/32 = 13/x

7x = 32*13

7x = 416

x = 416/7

x = 59.4285714 approximately

Round this value however your teacher instructs.

Answer 2

Answer:

Answer:

Length of official tennis court is 713.14 in or 59.43 ft

Step-by-step explanation:

In order to find the length of an official tennis court, we can use the concept of proportions.

Let's set up a proportion to solve for the length of the tennis court.

Given:

Model tennis court width = 7 inches
Model tennis court length = 13 inches
Official tennis court width = 32 feet = 32*12 = 384 inches

Let x be the length of the official tennis court in feet.

Proportion:

$\sf \frac{\textsf{Model width }}{\textsf{Official width }}=\frac{\textsf{ Model length }}{\textsf{Official length}}$

$\sf (7 in )/(384in)= (13 in)/( x ft)$

$\sf x ft = (13in*384\: in)/(7\: in) \approx 713.14\: in$

The length of an official tennis court is approximately 713.14 in or 59.43 ft

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Answers

An unusually hot summer has shifted the demand curve for lemonade to the right and this will result in an increase in the supply of the lemonade and along with it, there will be rise in the price of lemonade. As the demand rises in the market, so will there be an increase in the price. I hope the answer helps you.

What does it mean to cube something, thank you

Answers

To multiply it by itself three time eg 2x2x2

Answer:

In math, a cube is a number multiplied by itself three times. The cube of 2 is 8 (2 x 2 x 2). ... As a verb, cube means to cut into cube shapes.

Step-by-step explanation:

What is the only solution of 2x2 + 8x = x2 – 16

Answers

If you would like to solve the equation 2 * x^2 + 8 * x = x^2 - 16, you can calculate this using the following steps:

2 * x^2 + 8 * x = x^2 - 16
2 * x^2 - x^2 + 8 * x + 16 = 0
x^2 + 8 * x + 16 = 0
(x + 4) * (x + 4) = 0
x = - 4

The correct result would be x = - 4.

Answer:

x = -4 is the only solution.

Step-by-step explanation:

The given equation is 2x² + 8x = x² - 16

We can find the value of x by solving the equation.

(2x² + 8x) - x² = (x² - 16) - x²

x² + 8x = - 16

(x² + 8x) + 16 = (-16) + 16

x² + 8x + 16 = 0

(x + 4)² = 0 [ Since a² + b² + 2ab = (a + b)²]

⇒ (x + 4) = 0

x = -4

Therefore, x = -4 is the only solution of the given equation.

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Answers

Answer:

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Simplify: sqrt(200) - sqrt(32)

Answers

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