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Sliva [168]
3 years ago
13

A person who is 5.8 feet tall is standing in a pool. The top of the person's head is 1.6 feet above the surface of the water. Ho

w deep is the pool? Write your answer as a decimal.
Mathematics
1 answer:
statuscvo [17]3 years ago
6 0
Since the top of the person's head is above the water (by 1.6 feet), that means the water is less than 5.8 feet (the person's height).
So we have to subtract 5.8 - 1.6, and I believe the answer will be 4.2 feet.
The pool is 4.2 feet deep :)
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Factor completely:<br>64 - y^3
madam [21]
From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is 4^{3}, and y^{3}.

There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.

That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are a^{3} and b^{3}. The difference of those two cubes is:
a^{3} - b^{3} = (a - b)( a^{2} + ab + b^{2})

In our problem, a = 4 (since a^{3} = 64) and b = y (since b^{3} = y^{3}. Plug these values into the rule to find the factor of 64 - y^3:
64 - y^3 \\&#10;= (4 - y)( 4^{2} + 4y + y^{2}) \\&#10;=  (4 - y)( 16 + 4y + y^{2})

-----

Answer: (4 - y)( 16 + 4y + y^{2})

8 0
3 years ago
Which of the equations below would have a line that passes through both (1,7) and (0,-9)
Scrat [10]

Answer:

Step-by-step explanation:

(-9-7)/(0-1)= -16/-1= 16

y - 7 = 16(x - 1)

y - 7 = 16x - 16

y = 16x - 9

7 0
3 years ago
A country has 32 parks that allow camping and 43 parks that have playgrounds. Of those, 10 parks both allow camping and have pla
Olenka [21]

Answer:

25

Step-by-step explanation:

Given:

32 parks allow camping

43 parks allow playgrounds

10 parks both allow camping and playgrounds

110 total parks

First, we need to add 32, 43, and 10

32 + 43 + 10 = 85

Then, we find the difference of 110 and 85

110 - 85 = 25

Since it isn't a decimal, there is no point in rounding.

8 0
3 years ago
The base of this regular right pyramid is a square. What is its surface area?
zubka84 [21]

Answer:

○ A) 21 ft.²

Step-by-step explanation:

{a}^{2} + 2a  \sqrt{ \frac{ {a}^{2}}{4} + {h}^{2} } = S. A. \\  \\ {3}^{2} + 2(3) \sqrt{ \frac{ {3}^{2} }{4} +  {2}^{2}} = 24 \\  \\ 24 ≈ 21

I am joyous to assist you anytime.

5 0
3 years ago
1/9 + 2/9 in simplest form
vladimir2022 [97]
1/3 + 2/9 equals 3/9
3/9 is then simplified to 1/3 :)
8 0
3 years ago
Read 2 more answers
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