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3 years ago

What is the approximate volume of a cylinder with a height of 2 ft and a radius of 6 ft?

1 answer:

7 0

To find the volume of a cylinder, first find the area of its base which is πr² = (3.14)(6)² = 113.04 Then you would multiply that by the height of the cylinder 113.04 x 2 = 226.08 ft

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Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your way home, you travel at an average r

kenny6666 [7]

Answer:

14 miles

Explanation:

The relation that will be used to solve this problem is:

$Distance = Velocity*Time$

which can be rewritten as:

$Time = \frac{Distance}{Velocity}$

Assume that:

Distance from your house to your friend's house is d

Time taken from your house to your friend's house is t₁

Time taken from your friends house to your house is t₂

1- From your house to your friend's house:

Average rate = 35 miles/hour

Therefore:

$t_{1} = \frac{d}{35}$

2- From your friend's house to your house:

Average rate = 40 miles per hour

Therefore:

$t_{2} = \frac{d}{40}$

3- Round trip:

We know that the round trip took 45 minutes which is equivalent to 0.75 hours

This means that:

t₁ + t₂ = 0.75 hours

$\frac{d}{35}+\frac{d}{40}=0.75\\ \\\frac{40d + 35d}{1400}=0.75\\ \\\frac{75d}{1400}=0.75\\ \\ 1050 = 75d\\ d=14 miles$

Hope this helps :)

3 0

3 years ago

Consider the function y = 9 - x2, where x ≥ 3. What is the inverse of the function? What is the domain of the inverse? Show all

Brilliant_brown [7]

Hello,
Please see the attached file.
Thanks.

5 0

3 years ago

Read 2 more answers

two distint lines l and m are each perpendicular to the same line n . explain why l and m are parallel lines

Angelina_Jolie [31]

A diagrammatic illustration of two distinct lines l and m perpendicular to the same line n is shown below

As seen above, l and m are opposite each other, and will never intersect. Therefore, the lines l and m are parallel to each other.

6 0

1 year ago

The sum of five times a number, and 1, is equal to four times the number

larisa86 [58]

Answer:

5x + 1 = 4x

You can really put any letter for "a number":

5n + 1 = 4n

7 0

3 years ago

Solve the equation 3x-2 4 - 2x - 5- 1 + x 3 6

Nataly_w [17]

Answer:

$\boxed{\sf x=12}$

Step-by-step explanation:

$\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}$

First, let's find the LCM of 4, 3, and 6.

How to find the LCM:

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

LCM: 12

_________

Now, we'll Multiply by LCM:

$\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12$

Simplify:

$\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)$

Now, expand, Apply the Distributive property:

$\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}$

$\sf 9x-6-8x+20$

Combine like terms:

$\sf x+14$

________

$\bold{ 2\left(x+1\right)}$

$\sf 2x+2$

$\sf x+14=2x+2$

Subtract 14 from both sides:

$\sf x+14-14=2x+2-14$

Simplify:

$\sf x=2x-12$

Subtract 2x from both sides:

$\sf x-2x=2x-12-2x$

Simplify:

$\sf -x=-12$

Divide both sides by -1:

$\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}$

$\sf x=12$

7 0

2 years ago