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3 years ago

A pond had 60 fish.

Mathematics

1 answer:

Irina-Kira [14]3 years ago

6 0

Should be 11 if i did it correctly <span />

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Tyler has saved $1,000. He earns $16 an hour. Tyler saves 25 percent of his net pay, after 20 percent is taken out for taxes. Wh

Viefleur [7K]

Answer:

The answer is A, B and C

Step-by-step explanation:

I did the USATestprep thingy

6 0

2 years ago

Please asap<br>for 10 points!

kari74 [83]

<h3>Given:</h3><h3>Large cone:</h3>

r= 8 cm
h= 20 cm

<h3>Small cone:</h3>

r= 4 cm
h= 10cm

r: radius
h: height

The volume of the frustum of the given cone.

<h3>Solution:</h3>

Frustum is a part of a cone formed by cutting off the top by a parallel plane.

$\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}$

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

$V= \frac{1}{3}×\pi×{4}^{2}×10$

$V= 167.5516082 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V= 167.55 \: {cm}^{3}}$

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

$V= \frac{1}{3}×\pi×{8}^{2}×20$

$V= 1340.412866 \: {cm}^{3}$

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

$\boxed{V=1340.41 \: {cm}^{3}}$

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

$V= 1340.41-167.55$

$\large\boxed{V= 1172.86 \: {cm}^{3}}$

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>

8 0

1 year ago

There are six multiple-choice questions on an exam, each with four possible answers. (a) Determine the number of possible answer

Lubov Fominskaja [6]

Answer:

$Possible\ Answers = 4096$

Step-by-step explanation:

Given

$Questions = 6$

$Options = 4$ each

Required

Determine the number of possible answers

<em>The first question has 4 possible answers</em>

<em>The second has 4 possible answers</em>

<em>The third has 4 possible answers</em>

<em>The fourth question has 4 possible answers</em>

<em>The fifth has 4 possible answers</em>

<em>The sixth question has 4 possible answers</em>

<em />

$Possible\ Answers = 4 * 4 * 4 * 4 * 4 * 4$

$Possible\ Answers = 4^6$

$Possible\ Answers = 4096$

8 0

3 years ago

There were 60 seventh grade students who signed up for soccer tryouts last year. This year, 48 seventh graders signed up for try

Lubov Fominskaja [6]

Answer:

20%

Step-by-step explanation:

(60 - 48) / 60 = 0.2 (20%)

3 0

3 years ago

Use the given information to find the unknown value:y varies directly as the square of z. When x = 2, then y= 20. Find y when 2

Vladimir79 [104]

Answer

y = 45 when x = 3

Step-by-step explanation:

$\begin{gathered} \text{Given that y varies directly as the square of x} \\ \text{This implies that there is a positive relationship betwe}en\text{ y and the square of z} \\ \text{Mathematically, this can be expressed as} \\ y\text{ }\propto x^2 \\ To\text{ turn this expression into an equation, we n}eed\text{ to introduce a proportionality constant k} \\ y=kx^2 \\ \text{ According to the question, y = 20 and x = 2} \\ \text{From the above informaion we can find our k} \\ y=kx^2 \\ 20\text{ = k }\cdot2^2 \\ 20\text{ = k }\cdot\text{ 4} \\ \text{Divide both sides by 4} \\ \frac{20}{4}\text{ = }\frac{k\cdot\text{ 4}}{4} \\ k\text{ = 5} \\ \text{ Find y when }x\text{ = 3} \\ y=kx^2 \\ y\text{ = 5 }\cdot(3)^2 \\ y\text{ = 5 }\cdot\text{ 9} \\ y\text{ = 45} \end{gathered}$

8 0

1 year ago