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Helen [10]
3 years ago
10

the scale factor of the blueprint of a theater stage to the actual theater stage is 1in/6ft. the area of the stage on the blue p

rint is 48in^2. what is the area of the actual stage?
Mathematics
1 answer:
liq [111]3 years ago
7 0
Answer: 1728ft^2
The scale of the blueprint is <span>1in=6ft and the area of the stage is 48in^2. To convert the area, you just need to find the scale with inch^2. The equation would be:

</span>1 inch=6ft <span>
inch^2= x ft^2
(6ft)^2= x ft^2
36ft^2= x ft^2
x=36

1 inch^2 =36 ft^2
area of the actual stage= 48 inch^2 * (36 ft^2/inch^2)= 1728ft^2</span>
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The sale price of every item in a store is 85% of its usual price.
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Answer:

$25.5

Step-by-step explanation:

To find 85% of $30, we can simply multiply the usual price, $30, by the decimal form of the percentage.

The decimal form of 85% is .85.

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Hope this helps!

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Round 363 to the nearest tens and hundreds
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Select the correct answer. A new building in the shape of a square pyramid is to be constructed. The slant height will be five t
marysya [2.9K]

From the information given about the square pyramid, the maximum base length of the building is 67.42 cm.

<h3>How do you determine the maximum side length?</h3>

We are given the following  details  are:

Base = b

Slant height (l) = 5b

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * b * 5b

Evaluate the product

L = 10b²

The total surface area is calculated using:

T = L + b²

So, we have:

T = 10b² + b²

Evaluate the sum

T = 11b²

Recall that the maximum surface area is 50,000 square feet

So, we have:

11b² = 50000

Divide both sides by 11

b² = 50000/11

Taking the square root of both sides, we have

b = 67.42

Hence, the maximum base length of the building is 67.42 cm

Learn more about square pyramids at:

brainly.com/question/12146629

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