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2 years ago

14

14) A circular clock has a circumference of 80.5 meters. What the measurement of the radius, in meters, of the clock? Round to t

he neares tenth. SHOW YOUR WORK A) 3.2 B) 6.4 C) 12.8 D) 51.3. PLEASE ANSWER QUICK

1 answer:

Liula [17]2 years ago

7 0

Answer: 12.8

Step-by-step explanation:

Divide 80.5 by pi then divide by 2

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Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )

Zina [86]

Answer:

$\purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

Step-by-step explanation:

$\cos( \alpha ) = \frac{ \sqrt{6} }{6} = \frac{1}{ \sqrt{6} } \\ \\ \therefore \: \sin( \alpha ) = \sqrt{1 - { \cos}^{2} ( \alpha ) } \\ \\ = \sqrt{1 - \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} } \\ \\ = \sqrt{1 - {\frac{1}{ {6} }}} \\ \\ = \sqrt{ {\frac{6 - 1}{ {6} }}} \\ \\ \red{\sin( \alpha ) = \sqrt{ { \frac{5}{ {6} }}} } \\ \\ \tan( \alpha ) = \frac{\sin( \alpha ) }{\cos( \alpha ) } = \sqrt{5} \\ \\ \sin( \beta ) = \frac{ \sqrt{2} }{4} \\ \\ \implies \: \cos( \beta ) = \sqrt{ \frac{7}{8} } \\ \\ \tan( \beta ) = \frac{\sin( \beta ) }{\cos( \beta ) } = \frac{1}{ \sqrt{7} } \\ \\ \tan( \alpha - \beta ) = \frac{ \tan \alpha - \tan \beta }{1 + \tan \alpha . \tan \beta} \\ \\ = \frac{ \sqrt{5} - \frac{1}{ \sqrt{7} } }{1 + \sqrt{5} . \frac{1}{ \sqrt{7} } } \\ \\ = \frac{ \sqrt{35} - 1 }{ \sqrt{7} + \sqrt{5} } \\ \\ \purple{ \bold{ \tan( \alpha - \beta ) = 1.00701798}}$

8 0

3 years ago

Erika worked 18 hours last week and 20 hours this week. If she earns $6 per hour, how much did she earn these two weeks?

Crank

Hi!

If she worked 18 hours last week and 20 hours this week, then she worked 38 hours in total, because 18 + 20 = 38.

If she earns $6 per hour, and she worked for 38 hours, then she got 38 sets of 6, which you can find the answer to by multiplying 38 and 6.

This is essentially 6 + 6 + 6 +...

38 * 6 = $228

So she earned $228 these two weeks.

Hope this helped!

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3 years ago

Read 2 more answers

Write a two-step equation involving division and addition that has a solution of X equals -25

34kurt

Can’t help you right now

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3 years ago

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Evaluate each expression for the given value of the variables. 2x + y for x= 7 and y = 11

prisoha [69]

Answer:

25

Step-by-step explanation:

Substitute 7 into 2, and 11 into y.

2(7)+(11)

14+11

25

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2 years ago

A B C OR D PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!!! I REALLY APPRECIATE

ddd [48]

Answer: B

Step-by-step explanation: Okay so you add 6m and 1m to get 7m for that entire side. Then you have 3m on each side that is slanted. You finally add 5m.

7m + 3m + 3m + 5m = 18m^2

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3 years ago