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3 years ago

Find the volume of a cone if the diameter is 8 m and height is m. round the answer to the nearet tenth

Mathematics

1 answer:

Allisa [31]3 years ago

6 0

Answer:

Step-by-step explanation:

diameter=8 m

radius r=8/2= 4m

height h= ? m

volume of cone=1/3×4²×h=?

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Suppose you have abc with ab = 5, bc = 7, and ca = 10, and also efg with ef = 900, fg = 1260, and ge = 1800. are these triangles

madreJ [45]

SSS theorem: If two triangles have three pairs of sides in the same ratio, then the triangles are similar.

Write the ratio between the smallest sides, between the greatest sides and between the middle sides and compare the results:

$\dfrac{EF}{AB}=\dfrac{900}{5}=180;$
$\dfrac{EG}{AC}=\dfrac{1800}{10}=180;$
$\dfrac{GF}{CB}=\dfrac{1260}{7}=180.$

This gives you that

$\dfrac{EF}{AB}=\dfrac{EG}{AC}=\dfrac{GF}{CB}=180.$

By SSS theorem triangles ABC and EFG are similar with scale factor 180.

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3 years ago

If f(x) = x^2-2x-24 and g(x) = x^2-x-30, find (f-g)(x).

yaroslaw [1]

Answer:

-x+6

Step-by-step explanation:

if f(x) = x^2-2x-24 and g(x) = x^2-x-30, find (f-g)(x).

Do to this, you have to subtract equation g from equation f.

If you write it down and subtract them, your x^2 will cancel out and you will be left with -2x - (-x) and -24 - (-30). This will leave you with -x +6

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3 years ago

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What is a slope of this line ?

Vinvika [58]

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2 years ago

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Do you hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg the longer leg is 7 feet longer than the

Lera25 [3.4K]

Answer:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

Step-by-step explanation:

We are given $h=1+2s$ where $h$ is the hypotenuse and $s$ is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with $h$ , "is" with $=$ , "1 foot more than" with $1+$ and finally "twice the length of the shorter leg" with $2s$ .

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with $L$ .

I'm going to replace "is" with $=$ .

I'm going to replace "7 feet longer than the shorter leg" with $7+s$ .

So we have the equation $L=7+s$ .

So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.

So by Pythagorean Theorem, we have: $s^2+L^2=h^2$ .