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Marta_Voda [28]
3 years ago
14

A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)

Mathematics
2 answers:
Eva8 [605]3 years ago
5 0
V=(4/3)pir^3
r=12
V=(4/3)pi12^3
V=(4/3)pi1728
V=2304pi in^3
Allushta [10]3 years ago
5 0
Hi There!

<span>A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)?

</span>Vol = \frac{4* \pi * x^{3} }{3}
<span>
Therefore the answer would be 
</span>V = 2304π cubic inches

Another way is?


V = 4/3πr³
r = 12 in.

V = 4/3π(12 in)³

V = 4/3π(1728 in³)

<span>V = 2304π in³</span>
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joel is laying pipe for a sprinkler system before he plants his lawn . the lawn is a rectangle, 15 feet long and 8 feet wide. he
Nadya [2.5K]

Answer:

The length of the pipe = 17 feet

Step-by-step explanation:

length = 15 feet

width = 8 feet

Pythagorean theorem,

(diagonal)² = (length)² +(width)²            {all angles of rectangle are 90°}

                   = 15² + 8²

                   = 225 + 64  = 289

diagonal    = √289 = √ 17 * 17

                   = 17 feet

7 0
3 years ago
What are the domain values for the function f(x) = 2x + 3 if the range values are (-1, 1, 2,4}
ArbitrLikvidat [17]

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

So i think it will be -1

7 0
3 years ago
4. Evaluate the expression for the given value of each variable.
Novosadov [1.4K]

Answer:

-18

Step-by-step explanation:

5a2-7-b3

5*a*2-7-b*3

5\cdot \left(-2\right)\cdot \left(2\right)-7-\left(-3\right)\cdot 3

Therefore, -18 is your answer.

Hope this helped! :)

5 0
3 years ago
3+-√(-3)^2 - 4(5)(-1)
Alona [7]

Answer:

Step-by-step explanation:

Easy way to do this is step by step.  Your quadratic, from your entry, must be

5x^2-3x-1.

Step by step looks like this, one thing at a time:

x=\frac{3+\sqrt{(-3)^2-4(5)(-1)} }{2(5)} becomes

x=\frac{3+\sqrt{9-(-20)} }{10} becomes

x=\frac{3+\sqrt{9+20} }{10}

and this of course is

x=\frac{3+\sqrt{29} }{10}

Do the same with the subtraction sign to get the other solution.

If you're unsure of how to enter it into your calculator, do it step by step so you don't mess up the sign.  If you enter it incorrectly, you could end up with an imaginary number when it should be real, or a real one that should be imaginary.

Just my advice as a high school math teacher.

3 0
3 years ago
A rectangular yard has area 96 square feet. If the width of the yard is 4 ft less than length, what is the perimeter,in feet, of
marusya05 [52]
Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
                             = 12 - 4 feet
                             = 8 feet
Then
Perimeter of the yard = 2 (length + width)
                                   = 2(12 + 8)
                                   = 2 * 20 feet
                                   = 40 feet.
So the perimeter of the yard  is 40 feet.
6 0
3 years ago
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