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2 years ago

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8. Find the arc length of a central angle of 7pi/3 in a circle whose radius is 3inches

1 answer:

pashok25 [27]2 years ago

4 0

$\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{7\pi }{3}\\ r=3 \end{cases}\implies s=(3)(\frac{7\pi }{3})\implies s=7\pi \implies s\approx 21.99~in$

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7<br> HAI DRIVIS 350 MILES IN 4 1/2<br> HOURS. HOW FAST WAS HE<br> GOING IN MIES PER HOUR?

Firlakuza [10]

Answer:

77.78 mph

Step-by-step explanation:

[1] So we know that someone is driving 350 miles and it takes / took them 4 1/2 hours. I am going to change 4 1/2 to 4.5 for the sake of making it easier.

[2] Miles per hour, is, as it says, miles per hour. Aka, $\frac{miles}{hour}$ (your time is almost always on the bottom / the y)

[3] So, that being said, to solve you will but 350 over 4.5 like this: $\frac{350}{4.5}$ which calcuates to arounddd 77.78!

(I hope this is correct, I was slightly confused by the wording. Have a nice day!)

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3 years ago

A large spherical balloon is being deflated. When the radius of the balloon decreases from 10 ft to 5 ft, approximately how much

Xelga [282]

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the answer is B.<span />

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3 years ago

Read 2 more answers

Which is a common denominator for the numbers: 40 and 28

Studentka2010 [4]

Hi!

I can help you with joy!

Let's list 10 multiples of 40 and 10 multiples of 28.

The first 10 multiples of 40 are:

40, 80, 120, 160, 200, 240, 280, 320, 360, 400...

The first 10 multiples of 28 are:

28, 56, 84,112, 140, 168, 196, 224, 252, 280

I have highlighted it. Guess why!

Because it's the LCM (LEAST COMMON MULTIPLE) of 40 and 48.

$*RosalindCordelia*$

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3 years ago

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Troyanec [42]

It would be A. 2.28 x 10^9

You don’t multiply exponents you only add them for now

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3 years ago

Evaluate the expression for x = 3, y = 1/3 , and z = 5.<br><br>12x − 3y / 4x − z

DIA [1.3K]

Step-by-step explanation:

<u>Substitute the given values into the expression;</u>

$12(3) - 3( \frac{1}{3} ) \div 4(3) - 5$

<u>Multiply;</u>

$36 - 1 \div 12 - 5$

<u>Solve Using PEMDAS;</u>

$36 - \frac{1}{12} - 5$

$35 \frac{11}{12} - 5$

$\boxed{30 \frac{11}{12} }$

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2 years ago