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4 years ago

[will give brainliest] Which of the following numbers must be added to complete the square in the equation below?

1 answer:

7 0

I think the answer is A. 22

B and C are odd, so it can’t make a square. D is a possibility, but I don’t think it’s 50 because the answer is 50.

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PLS HELP ME!!! The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of

Pachacha [2.7K]

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cone volume)

$V = \dfrac{ \pi *r^2*h}{3}$

$V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}$

$V = 3.14*16*4$

$\boxed{V = 200.96\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$

Formula: (Volume of the hemisphere)

$V = 2* \pi * \dfrac{r^3}{3}$

Solving:

$V = 2* \pi * \dfrac{r^3}{3}$

$V = 2*3.14 * \dfrac{4^3}{3}$

$V = 2*3.14 * \dfrac{64}{3}$

$V = \dfrac{401.92}{3}$

$\boxed{ V_{hemisphere} \approx 133.97\:cm^3}$

What is the approximate volume of this figure?

Now, to find the total volume of the figure, add the values: (cone volume + hemisphere volume)

Volume of the figure = cone volume + hemisphere volume

Volume of the figure = 200.96 cm³ + 133.97 cm³

$\boxed{\boxed{\boxed{V = 334.93\:cm^3 \to Volume\:of\:the\:figure \approx 335\:cm^3 }}}\end{array}}\qquad\quad\checkmark$

Answer:

The volume of the figure is approximately 335 cm³

_______________________

I Hope this helps, greetings ... Dexteright02! =)

8 0

3 years ago

Read 2 more answers

A bathtub can hold 80 gallons of water. The faucet flows at a rate of 4 gallons per minute what percent of the tub will be fille

bazaltina [42]

Answer:

After 6 minutes the tub will be 30% full

Step-by-step explanation:

Step 1

Determine the total volume that will be filled by the faucet at time (t) using the expression below;

V=R×T

where;

V=total volume

R=flow rate, gallons per minute

T=time in minutes

In our case;

V=unknown

R=4 gallons per minute

T=6 minutes

replacing;

V=4×6=24 gallons

Total volume filled after 6 minutes=24 gallons

Step 2

Determine the percentage volume of the tab that will be filled after 6 minutes using the expression;

percentage volume=(volume filled after 6 minutes/total volume)×100

where;

volume filled after 6 minutes=24 gallons

total volume=80 gallons

replacing;

percentage volume=(24/80)×100=30%

After 6 minutes the tub will be 30% full

6 0

3 years ago

Read 2 more answers

The price of a cup of coffee was $2.15 yesterday. Today, the price rose $2.30. Find the percentage increase round your answer to

STALIN [3.7K]

Answer:

0.2

Step-by-step explanation:

0.2

3 0

3 years ago

Read 2 more answers

10;11;15;15;17;22;11 what is the mode of this data?

Aloiza [94]

Answer:

11, 15

Step-by-step explanation:

They both occur two times so they are tied for mode so both numbers is the answer

8 0

3 years ago

Nadine saw that there was 4/5 of a pie left after their family picnic. Each slice of pie was 1/15 of the total pie. How many sli

Virty [35]

Given:

4/5 of a pie left after their family picnic.

Each slice of pie was 1/15 of the total pie.

To find:

The number of remaining slices of pie.

Solution:

Let x be the number of remaining slices of pie.

Part of total pie in one slice = $\dfrac{1}{15}$

Remaining part of total pie in x slices = $\dfrac{1}{15}x$

According to the question, 4/5 of a pie left after their family picnic.

$\dfrac{1}{15}x=\dfrac{4}{5}$

Using cross multiplication, we get

$5\times x=15\times 4$

$5x=60$

Divide both sides by 5.

$x=12$

Therefore, the remaining number of slices of pie is 12.

4 0

3 years ago