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katrin [286]
3 years ago
6

COULD A KIND SOUL PLEASE PLEASE PLEASE HELP ME???!!!!!!!!!!!

Mathematics
1 answer:
horrorfan [7]3 years ago
5 0

Answer:

R=(-1,2), T=(-7,4) S=(-2,8)

Step-by-step explanation:

The line y=x is a diagonal line veering to the left, since I can't draw it I'll give you a link on an actual digram of a triangle getting reflect across y=x. But, I just like to do this, if for example Q=(10,-3), I just exhange the negative sign to the left, so it would equal Q"=(-10,3) (Q" means the new modified Q).

The link thingy=https://www.quora.com/What-does-it-mean-to-reflect-over-the-y-x-line

Hopes this helps (:

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Answer:

\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

V_c=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3

The formula of a volume of a sphere:

V_s=\dfrac{4}{3}\pi R^3

R - radius

Therefore the formula of a volume of a half-sphere:

V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3

We have R = 7cm. Substitute:

V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3

The volume of the given shape:

V=V_c+V_{hs}

Substitute:

V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3

7 0
2 years ago
A town has a population of 8000 and grows at 3% every year. To the nearest tenth of a year, how long will it be until the popula
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Answer:

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Step-by-step explanation:

If a town population is 8000 and grows 3% annually.

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Step-by-step explanation:

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a(50) = -5 +(50-1)5

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hope this helps

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