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3 years ago

What is the volume of a hemisphere with a diameter of 45.7 m, rounded to the nearest tenth of a cubic meter?

Mathematics

1 answer:

worty [1.4K]3 years ago

6 0

24987.2 meters cubed.

Step-by-step explanation:

A Hemisphere is 1/2 of a sphere, so let's find the volume of a sphere and then cut it in half.

The volume of a sphere is V= (4/3)πr3

The diameter is double the size of the radius, so we can find r, the radius, by dividing the diameter,

45.7m, by 2. So r = 22.85 meters

so the volume of the sphere is (4/3)π(22.85 meters)3, which is 49974.35787 meters cubed.

Since we're actually looking for the Hemisphere, we can divide this volume in half to get the volume of the hemisphere as 24987.17894 meters cubed.

And because the answer must be to 1/10th of a cubic meter, that means we only want one decimal point. So we round to 24987.2 meters cubed.

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In triangle MPN, angle P is a right angle. If cos N= 3/5 which of the following statements is true

Bezzdna [24]

Answer: Sin N = $\frac{4}{5}$

Step-by-step explanation:

Since we have given that

In triangle MPN, ∠P=90°

$\cos N=\frac{3}{5}$

As we know the formula for "Trigonometric Ratios":

$\cos N=\frac{Base}{Hypotenuse}=\frac{3}{5}$

By Pythagorus theorem , we get

$H^2=B^2+P^2\\\\5^2=3^2+P^2\\\\25=9+P^2\\\\25-9=P^2\\\\16=P^2\\\\P=\sqrt{16}\\\\P=4\ units$

So, we get,

$\sin N=\frac{Perpendicular}{Hypotenuse}=\frac{4}{5}$

Hence, Sin N = $\frac{4}{5}$

3 0

3 years ago

Come hither for a brainliest

Likurg_2 [28]

Answer:

x - 10, I believe

Step-by-step explanation:

The differences between the x-values and the y-values are

1) 12 & -12 = 0

2) -4 & 0 = 4

3) 0 & 7 = 7

4) 10 & 0 = -10

Since the question asks which must be A factor of p(x) or the y-value, I would advise to look for the answer that helps you receive one of the differences shown above. That said, I would go with x - 10.

Does that help?

7 0

3 years ago

Read 2 more answers

Colin found 22 more mushrooms that sophie did while they were out picking them in the forest. On the way home Sophie asked Colin

Rasek [7]

Answer:

11 mushrooms

Step-by-step explanation:

Let's take two sets of numbers that fulfill the requirements (2 and 24 | 5 and 27)

In the first case, there are 26 mushrooms, and to have an equal amount they each need 13. Collin had to give 11 mushrooms to Sophie.

In the second case, there are 32 mushrooms, and they both need 16 each. So in this case, Collin also had to give 11 to Sophie.

The answer is 11 mushrooms.

5 0

2 years ago

How many solutions does the absolute value equation have? I x - 3 I + 2 = -2

choli [55]

9514 1404 393

Answer:

the correct answer is marked

Step-by-step explanation:

When the graph of the left side of the equation does not intersect the graph of the right side of the equation, there are no solutions.

Additional comment

Even if you extend the domain to complex numbers, there are no solutions. The f(x) = |x| function always returns a positive real value, even for complex numbers.

4 0

3 years ago

What is step 2 in the problem-solving process?

konstantin123 [22]

The answer would be B. find a relationship between what is given and what must be found.

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3 years ago