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3 years ago

What is the largest perfect square of 45? ...?

1 answer:

8 0

You need to factor this number into a product of two numbers, one of which must be a perfect square. Then you take the square root of this perfect square and get a rational number.
So, the factors of 45 are 1, 3, 5, 9, 15, and 45.
As you can see, number 9 is the largest perfect square here.

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Solve for g.<br> -3 + 5 + 6g = 11 - 3g

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Step-by-step explanation:

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Explain why a recursive rule alone does not define one sequence.

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4 years ago

Eric plays basketball and volleyball for a total of 95 minutes every day. He plays basketball for 25 minutes longer than he play

ioda

Answer:

Part A:

x+y= 95

x = y+25

Part B : 35 minutes

Part C : No

Step-by-step explanation:

Part A :

Eric plays basketball and volleyball for a total of 95 minutes every day

x+y= 95

Where:

x =the number of minutes Eric plays basketball

y= the number of minutes he plays volleyball

He plays basketball for 25 minutes longer than he plays volleyball.

x = y+25

System:

x+y= 95

x = y+25

Part B:

Replacing x=y+25 on the first equation:

(y+25) + y =95

Solving for Y

y+25+y =95

25+2y=95

2y=95-25

2y=70

y = 70/2

y = 35 minutes

Part C : No

if x = 35

x+y= 95

35+y =95

y= 95-35

y = 60 minutes

Replacing y=60 on the other equation:

x = y+25

35 = 60+25

35 ≠85

5 0

4 years ago

Theo containers designed to hold water are side by side, both in the shape of a

OlgaM077 [116]

The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.

We have given that the shape of a

cylinder Container A has a diameter of 30 feet and a height of 18 feet.

diameter =30 feet and height =18 feet

Therefore

$radius=\frac{d}{2} \\\\radius=\frac{30}{2} \ \\\\radius=15$

What is the formula for volume of cylinder ?

$volume =\pi r^2h$

For cylinder A,

$volume =\pi r^2h$

$volume =\pi (15)^218\\ \\V=12723.45 ft^{3}$

Similarly for cylinder B,

h=19

radius

$\frac{26}{2} =13feet$

volume of cylinder B

$volume =\pi r^2h\\\\volume =\pi (13)^2(19)\\\\volume =10087.65 feet^3$

After pumping all of Cylinder A into Cylinder B there will remain empty space in B

$12723.45-10087.65=2635.8 feet^3$

The percentage this empty space is,

of the entire volume is

$\frac{2635.8}{10087.65} =0.261289$

which is 26.12 % when rounded to the nearest tenth.

Therefore,

The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.

To learn more about the volume of cylinder visit:

brainly.com/question/9554871

8 0

3 years ago