Evaluating reports , help me please ...

I DON’T UNDERSTAND! PLEASE HELP!

Brums [2.3K]

Answer:

The height of the water is $60.5\ ft$

Step-by-step explanation:

step 1

Find the volume of the tank

The volume of the inverted right circular cone is equal to

$V=\frac{1}{3}\pi R^{2} H$

we have

$R=16\ ft$

$H=96\ ft$

substitute

$V=\frac{1}{3}\pi (16)^{2} (96)$

$V=8,192\pi\ ft^{3}$

step 2

Find the 25% of the tank’s capacity

$V=(0.25)*8,192\pi=2,048\pi\ ft^{3}$

step 3

Find the height, of the water in the tank

Let

h ----> the height of the water

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{R}{H}=\frac{r}{h}$

substitute

$\frac{16}{96}=\frac{r}{h}\\ \\r= \frac{h}{6}$

where

r is the radius of the smaller cone of the figure

h is the height of the smaller cone of the figure

R is the radius of the circular base of tank

H is the height of the tank

we have

$V=2,048\pi\ ft^{3}$ -----> volume of the smaller cone

substitute

$2,048\pi=\frac{1}{3}\pi (\frac{h}{6})^{2}h$

Simplify

$221,184=h^{3}$

$h=60.5\ ft$

6 0

3 years ago

You can represent and odd integer with the expression 2n + 1, where n is any integer. write and solace and equation to find thre

Wittaler [7]

As consecutive odd numbers differ by two (example: 3, 5, 7), the first odd number can be expressed as 2n + 1, the next can be found by adding two to the first to get 2n + 1 + 2 which simplifies to 2n + 3. Finally the expression for the third consecutive odd integer can be found by adding two to the previous, 2n + 3, to get 2n + 5. Adding these three together and setting them equal to your sum gets the equation

2n + 1 + 2n + 3 + 2n + 5 = 63

Combine like terms and solve For n.

Once you have n, you must substitute it back into your three expressions (2n + 1, 2n + 3, 2n + 5) to find the three odd integers.

Hope this helps :)

7 0

3 years ago

Olive buys indie music online. Each song costs $2 plus a $5 fee for using the artist's site. She has no more than $40 to spend.

SCORPION-xisa [38]

In constructing an inequality, you need to know the following:

1. What don't we know? How many songs can be bought? So, let x be the numbers of songs.
2. What do we know? Each songs costs $2 plus a fee for using the artist's site of $5.
3. Is there more than 1 possible solution? Yes, because there is enough money left if she only bought 1 song.

The meaning of no more than $40 means it must not exceed $40, $40 or less, or only $40.

So, song + fee can't be more than $40 and song + fee could equal to $40.

Therefore, song + fee for using an artist's site less than or equal to $40.
Final Answer: 2x+5 <= 40

7 0

4 years ago

Read 2 more answers

Product of 2.2 and 5.00 using correct sig figs

Rashid [163]

2.2 x 5.00= 11

Lowest sig figs is 2

6 0

4 years ago

-5 ( x + 7) = -5x + 35

makvit [3.9K]

Step-by-step explanation:

Let's solve your equation step-by-step.

−5(x+7)=−5x+35

Step 1: Simplify both sides of the equation.

−5(x+7)=−5x+35

(−5)(x)+(−5)(7)=−5x+35(Distribute)

−5x+−35=−5x+35

−5x−35=−5x+35

Step 2: Add 5x to both sides.

−5x−35+5x=−5x+35+5x

−35=35

Step 3: Add 35 to both sides.

−35+35=35+35

0=70

Answer:

There are no solutions.

7 0

3 years ago

Read 2 more answers