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3 years ago

Find the volume of this object.

Mathematics

1 answer:

natka813 [3]3 years ago

8 0

Well to start off, the cone. It says switch ‘’ to 3 and for r (radius), we know the diameter is 6, and the radius is half of it. So the radius is 3 in.
so far it’s 3•3..to the power of two times ‘H’ (height) the height is 10, as you can see in the picture. So the equation we have so far is:
3•3^2•10 / 3 the answer to that is 90in
For the rectangle, the volume for rectangular prisms is length • width • height
so it’s 8 • 8• 1 which equals, 64 inches.
Now all you got to do is Add both answers.
90+64 = 154 in. That’s the answer

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You and your friend mix water and cirtic acid. You add 3 cups of citrtic acid for every 16 cups of water Your friend adds 2 cups

Vlad [161]

Answer:

A's mixture is more acidic.

Step-by-step explanation:

Given:

Two friends mix water and citric acid.

One (Let A) add 3 cups of citric acid for every 16 cups of water and another (Let B)adds 2 cups of citric acid for every 12 cups of water.

Now, we have to find that whose mixture is more acidic means:-

Solution:

A add 3 cups of citric acid for every 16 cups of water, the ratio = $\frac{3}{16}$

B adds 2 cups of citric acid for every 12 cups of water = $\frac{2}{12}$

Now, to find that who mix more citric acid in the mixture, firstly we will equalize the denominator of both fraction by taking LCM so that can be compare easily.

LCM of 16 and 12:- 48

16 - 16, 32, 48, 64, 80, 96....

12 - 12, 24, 36, 48, 60, 72.......

For friend A - $\frac{3\times3}{16\times3} =\frac{9}{48}$

For friend B - $\frac{2\times4}{12\times4} =\frac{8}{48}$

We found that in terms of 48 cups of water, friend A mixes 9 cups of acid while friend B mixes 8 cups of acid, means A is adding more acid than B and hence friend A's mixture is more acidic.

4 0

3 years ago

A 10ft pole is to be erected and held in the ground by four wires attached at the top. The guy wires are attached to the ground

ad-work [718]

The pole, guy wire and ground forms a right angled triangle with the guy wire being the hypotenuse.
Legs = 10 ft and 15 ft.

The length of guys wire = Sqrt (10^2+15^2) = $5 \sqrt{13}$ ≈18.03 ft

A total of 4 guy wires.
Te total length required = 4* $5\sqrt{13}$ ≈ 72.11 ft.

Since wire cannot be bought in fractions of foot, the length is rounded to the next whole number. That is,

Length required = 73 ft.

6 0

3 years ago

Bob and sarah need to paint a fence. bob can paint the fence in 4 hours and sarah can paint the fence in 2.5 hours. if they work

zysi [14]

If Bob can paint the fence in 4 hours, then in 1 hour he gets 1/4 of the fence painted. If Sarah can paint the fence in 2.5 hours, then she gets 2/5 of the fence painted in one hour (1/2.5 = 2/5). We add those amounts together and set them equal to 1/x, x being the the total time it will take them to paint the whole fence. 1/4 + 2/5 = 1/x. Find a common denominator first, then add the left side together. 5/20 + 8/20 = 1/x. 13/20 = 1/x. Cross-multiply to get 13x = 20 and x = 1.54 hours, just a bit over an hour and a half.

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3 years ago

Find the limit a b c d or e

Brums [2.3K]

$f(x)=-x^2-4;\ g(x)=2x\\\\g(f(x))=g(-x^2-4)=2(-x^2-4)=-2x^2-8\\\\\lim\limits_{x\to5}g(f(x))=\lim\limits_{x\to5}(-2x^2-8)=(*)\\\\\text{substitute the value of x=5}\\\\(*)=-2\cdot5^2-8=-58\to B.$

5 0

3 years ago

Read 2 more answers

Find all the real cube roots of -0.000125

Arturiano [62]

We calculate the cube root,

we know that

-0.000125-------------> is equal to -125/1000000-------->(-5³/10^6)
∛(-5³/10^6) = -5/10^2-------> -5/100--------> -0.05

The answer is -0.05

3 0

4 years ago

Read 2 more answers