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2 years ago

This is my last question please help!!!

Mathematics

2 answers:

galina1969 [7]2 years ago

5 0

I believe the answer is 6

nika2105 [10]2 years ago

3 0

9514 1404 393

Answer:

x = 6

Step-by-step explanation:

The two angles are marked as being equal, so the line down the middle of the triangle is an angle bisector. An angle bisector divides the sides of the triangle proportionally, so you can write the proportion ...

x/12 = 5/10

x = 12(5/10) . . . . multiply by 12

x = 6

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For any circle, which ratio is equal to the number n? Select all that apply. Plsss help me!!

barxatty [35]

Answer:

Options A-C-F

Step-by-step explanation:

we know that

<em>The circumference of a circle is equal to</em>

$C=\pi D$ or $C=2\pi r$

where

D is the diameter and r is the radius

therefore

$\pi =\frac{C}{D}$ or $\pi =\frac{C}{2r}$

The number pi is the ratio circumference - diameter or is the ratio circumference - 2 times radius

<em>The area of the circle is equal to</em>

$A=\pi r^{2}$

therefore

The number pi is the ratio Area - radius squared

6 0

2 years ago

What is the volume of this cone?

olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

$a^2 = b^2 + c^2$

So we can find the height of the cone with that:

$10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx 7.9$

Now that we have the cone's height, we can solve for its volume:

$v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2 \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3$