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Harrizon [31]
2 years ago
11

a rectangular pool measures 4 yd by 5yd a concrete deck of uniform width is constructed around the pool. the deck anf pool togey

her cover and area of 90 yd. how wide is the deck?
Mathematics
1 answer:
kondor19780726 [428]2 years ago
4 0
To find the decks area we subtract the pool from the total so we times 4 by 5 to get 20 subtracting that from 90 gives us 70 square yards and we then find the square root and get 8.36660026534076
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A yard is equal in length to three feet. The function f(x) takes a measurement in yards (as input) and returns a measurement in
Grace [21]
If it takes yards and turns it into feet then it just multiplies it by 3

so if the input is 10.5 then you just multiply it by three

31.5 feet is the imput
3 0
2 years ago
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Q. Fine Floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how
creativ13 [48]

It takes 5.22 hours to install carpeting in a room

Step-by-step explanation:

At first lets find the relation between yard, feet and inch

1. 1 yard = 3 feet

2. 1 foot = 12 inches

3. 1 yard = 36 inches

Let us change all measures to inches

∵ 1 yard = 36 inches

∴ 1 yard² = (36)² inches²

-  Fine Floors can install 15 square yards of carpeting in 4 hours and

  30 minutes

∵ 15 yard² = 15 × (36)² inches²

∴ 15 yards² = 19440 inches²

∵ 1 hour = 60 minutes

∴ 30 minutes = 30/60 = 0.5 hour

∴ 4 hours and 30 minutes = 4.5 hours

∴ Fine Floors can install 19440 inches² in 4.5 hours

∵ The dimensions of the room are 11 feet 9 inches by 13 feet 4 inches

∵ 1 foot = 12 inches

∴ 11 feet 9 inches = 11 × 12 + 9 = 141 inches

∴ 13 feet 4 inches = 13 × 12 + 4 = 160 inches

∴ The area of the room = 141 × 160 = 22560 inches²

Now lets use the ratio method to answer the question

⇒ area of carpeting (in²)      :      time of carpeting (hr)

⇒ 19440                                :      4.5

⇒ 22560                               :      h

By using cross multiplication

∴ 19440 h = 4.5 × 22560

∴ 19440 h = 101520

- Divide both sides by 19440

∴ h = 5.22 hrs

It takes 5.22 hours to install carpeting in a room

Learn more:

You can learn more about the rate in brainly.com/question/13053630

#LearnwithBrainly

8 0
2 years ago
Read 2 more answers
Which option lists an expression that is not equivalent to 4 2/3?
I am Lyosha [343]

Answer:

Option A and Option B are not equivalent to the given expression.

Step-by-step explanation:

We are given the following expression:

4^{\frac{2}{3}}

Applying properties of exponents and base:

(a^x)^y = a^{xy}\\a^{-x}= (\frac{1}{a})^x\\

A. Using the exponential property a^{-x}= (\frac{1}{a})^x\\, we can write:

0.25^{\frac{3}{2}} = (\frac{1}{0.25})^{\frac{-3}{2}} = (4)^{\frac{-3}{2}}

which is not equal to the given expression.

B. Using the exponential property a^{-x}= (\frac{1}{a})^x\\, we can write:

(0.25)^{\frac{-3}{2}} = (\frac{1}{0.25})^{\frac{3}{2}} = (4)^{\frac{3}{2}}

which is not equal to the given expression.

C. First we convert the radical form into exponent form. Then by using the property (a^x)^y = a^{xy} of exponent, we can write the following:

^3\sqrt{16} = (16)^{\frac{1}{3}} = (4^2)^{\frac{1}{3}} = 4^{\frac{2}{3}}

which is equal to the given expression.

D. First we convert the radical form into exponent form. Then by using the property (a^x)^y = a^{xy} of exponent, we can write the following:

(^3\sqrt{4})^2 = (4^{\frac{1}{3}})^2 = 4^{\frac{2}{3}}

which is equal to the given expression.

Option D and Option C are equivalent to the given expression.

7 0
2 years ago
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Find the point of intersection of the lines: y = 4x + 1 and y = – 2x + 4 A. (2 , 9) B. ( 1 2, 3 ) C. (1 , 2) D. ( 1 4, 2)
alekssr [168]

Answer:

B. (1/2, 3)

Step-by-step explanation:

It is perhaps easiest to try the point values in the equations.

A — 4·2+1 = 9; -2·2 +4 ≠9 . . . . not the answer

B — 4·1/2 +1 = 3; -2·(1/2) +4 = 3 . . . . this is the answer

we need go no further since we have the answer

3 0
2 years ago
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. Wh
Gekata [30.6K]

Answer:

not choosing all mysteries

Step-by-step explanation:

The complement of an event is the remaining possibilities.

Our event is Mariah choosing 3 mysteries.

The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.

7 0
2 years ago
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