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Nikitich [7]
3 years ago
5

Can someone answer fast please bc i have a test

Mathematics
2 answers:
lukranit [14]3 years ago
6 0

Answer:

36 degrees

Step-by-step explanation:

Angles on a line equal 180

180-117=63

a=63

Angles in a triangle equal 180

180-(63+81)=36

b=36 degrees

Radda [10]3 years ago
4 0

Answer:

a=117(being straight line angle)

a=180-117

a=63ans

a+b+81=180(being the sum of the angle of triangle)

b+63+81=180

b+144=180

b=180-144

b=36ans

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Hello , how to do 6(iii)?
Doss [256]

Answer:

\displaystyle \frac{dS}{dt}=\frac{3}{50r}

Step-by-step explanation:

Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.

So, dV/dt = 0.03.

We want to show that dS/dt is directly proportional to 1/r.

In other words, we want to establish the relationship that dS/dt  = k(1/r), where k is some constant.

First, the volume of a sphere V is given by:

\displaystyle V=\frac{4}{3}\pi r^3

Therefore:

\displaystyle \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}

Next, the surface area of a sphere S is given by:

\displaystyle S=4\pi r^2

Therefore:

\displaystyle \frac{dS}{dt}=8\pi r\frac{dr}{dt}

We can divide both sides by 2:

\displaystyle \frac{1}{2}\frac{dS}{dt}=4\pi r\frac{dr}{dt}

We can substitute this into dV/dt. Rewriting:

\displaystyle \frac{dV}{dt}=r\Big(4\pi r\frac{dr}{dt}\Big)

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\displaystyle \frac{dV}{dt}=\frac{1}{2}r\frac{dS}{dt}

Since dV/dt = 0.03 or 3/100:

\displaystyle \frac{3}{100}=\frac{1}{2}r\frac{dS}{dt}

Therefore:

\displaystyle \frac{dS}{dt}=\frac{3}{50r}=\frac{3}{50}\Big(\frac{1}{r}\Big)

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4 years ago
What is a confidence interval in statistics?
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4 years ago
Read 2 more answers
Use the drawing tool(s) to form the correct answer on the provided number line. Will brought a 144-ounce cooler filled with wate
BARSIC [14]

Answer:

Total amount of water in cooler = 144 ounce

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It is not mentioned that after filling 16 plastic cups is there water left in cooler.

If water is left in cooler after filling 16 plastic cups, suppose it's volume is y -ounce.

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6 0
3 years ago
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