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Venus and Serena measured a tennis court and found that it was 42ft longer than it was wide and had a perimeter of 228ft. What were the length and the width of the tennis court?

length = 78 feet

width = 36 feet

Step-by-step explanation:

Using one variable and an expression, you can set up an equation equal to the perimeter to find the measure of each side:

width = 'w'

length = '42ft longer than it was wide' = w + 42

The general formula for the perimeter of a rectangle:

P = 2w + 2l

Plugging in the given values and variables:

228 = 2w + 2(w + 42)

Distribute: 228 = 2w + 2w + 84

Combine like terms:  144 = 4w

Divide and solve:  36 = w

w = 36 ft

l = 36 + 42 = 78 ft

Is -1 to the right or left of 0?

-1 is to the left of 0 and positive 1 is to the right.
Its to the left -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Bruce's three measurements are 19cm, 20cm, 23cm. calculate the average value of his measurements and express the answer with the correct number of significant figures

Bruce's three measurements are 19cm, 20cm, 23cm. calculate the average value of his measurements

Bruce has three measurements measuring 19cm, 20cm, 23cm.

We need to find the average value of Bruce's measurements.

We know the formula of average is:

Where:

is the sum of observations

is the number of observations

average value of Bruce's measurements is:

Hence the average value of Bruce's measurements is 21cm

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet. Syrus isn't sure if the tent will be tall enough for him to sit up inside. What is the height of the tent?

Step-by-step explanation:

We can use the volume formula, V =1/2 bhl to find the height of the tent

the volume is . The base is 4 and the length is 6 feet

​36=1/2 ⋅4⋅h⋅6

36=12h

3=h

The height of the tent is 3 feet.

The height of the tent is 3 feet

Step-by-step explanation:

Using the equation V(volume): 1/2*b(base)*h(height)*l(length)

We know this..

36 is the volume

4 is the base

6 is the length

36=1/2 * 4 *h * 6

36=12h

We want to get h by itself so we divide.

36/12 = 3

12h/12 = h

3=h

In conclusion, the height of the tent is 3 feet.