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3 years ago

What is the volume, in cubic feet, of a cone that has a base area of π / 4 square feet and a height of 3 feet?

1 answer:

8 0

$The\ volume\ of\ a\ cone:V=\frac{1}{3}B\cdot H\\\\B=\frac{\pi}{4}ft;\ H=3ft\\\\therefore\\\\V=\frac{1}{3}\cdot\frac{\pi}{4}\cdot3=\boxed{\frac{\pi}{4}\ (ft^2)=\frac{1}{4}\pi\ (ft^2)}$

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What is the standard form of y-8=2(x+3)

Zinaida [17]

Either:
y-8=2(x+3)
y-8=2x+6
-2x+y=14

or

y-8=2(x+3)
y=2x+14

5 0

3 years ago

The green river freeway has a minimum and maximum speed limit, tony drove for 2 hours at the minimum speed limit and 3.5 hours a

Vinil7 [7]

From the beginning we know we are dealing with two different rates. Distance is equal to (Speed X Time). We have two different speeds though. We will call the min speed = x and the max speed = y. With those two ideas in place we can make two equations for both Tony and Rae.
Tony:
2x+3.5y=355
Rae:
2x+3y=320
Now you can solve the equations by subtracting Rae's equation from Tony's

.5y=35 solve for y and you get 70
Now plug that y value back into either equation and you can solve for x. I'll use Rae's distance:
2x+3(70)=320
x=55

6 0

3 years ago

The perimeter of the flag is 2080 ft what is the flags width and length of the length is 420 ft greater than the width

hram777 [196]

Answer:

The length of the flag is 730 ft and the width is 310 ft

Step-by-step explanation:

The correct question is

The perimeter of the flag is 2080 ft what is the flags width and length if the length is 420 ft greater than the width

Let

L ----> the length of the flag

W ---> the width of the flag

we know that

The perimeter of the flag (rectangle) is equal to

$P=2(L+W)$

we have

$P=2,080\ ft$

$2,080=2(L+W)$

$1,040=L+W$ ----> equation A

$L=W+420$ ---> equation B

Solve the system by substitution

substitute equation B in equation A

$1,040=(W+420)+W$

solve for W

$1,040=2W+420$

$2W=1,040-420$

$2W=620$

$W=310\ ft$

Find the value of L

$L=W+420$ ----> $L=310+420=730\ ft$

therefore

The length of the flag is 730 ft and the width is 310 ft

5 0

2 years ago

Help me in this math please please

sweet-ann [11.9K]

A. -1 Because you would divide 3x and -6 by 2.

4 0

2 years ago

Read 2 more answers

1kg= 2.2 pounds Change 44 pounds in kg

Lyrx [107]

Answer:
44 pounds = 20 kg

Explanation:
We are given that:
1 kg = 2.2 pounds

To convert 44 pounds into kg, all we have to do is cross multiplication as follows:
1 kg .................> 2.2 pounds
?? kg .................> 44 pounds

Now, we solve as follows:
4 kg = $\frac{44*1}{2.2} = 20$ pounds

Hope this helps :)

4 0

3 years ago