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3 years ago

6

How do I simplify this expression?

1 answer:

Novay_Z [31]3 years ago

7 0

Her go your answer!

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Given α and β are Supplementary. Show the necessary steps.

user100 [1]

Answer:

$\alpha = 108\degree, \: \beta = 72\degree$

Step-by-step explanation:

α and β are Supplementary (given)

$\therefore \alpha + \beta = 180\degree.... (1)$

It is given that:

$\alpha= \frac{3}{2} \beta$

Plugging the value of α in equation (1), we find:

$\frac{3}{2} \beta + \beta = 180\degree$

$\therefore \frac{3+2}{2} \beta = 180\degree$

$\therefore \frac{5}{2} \beta = 180\degree$

$\therefore \beta = 180\degree\times \frac{2}{5}$

$\therefore \beta = 72\degree$

$\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree$

So,

$\alpha = 108\degree, \: \beta = 72\degree$

7 0

3 years ago

The Ferris wheel shown makes 16 revolutions per ride. How far would someone travel during one ride? Round your final answer to t

sertanlavr [38]

Complete question :

The diameter of the ferris Given is 63 feets

Answer:

3165 feets

Step-by-step explanation:

Given that :

Diameter of ferris = 63 feets

Recall :

Circumference of a circle = 2 * pi * Radius

Or

Circumference = pi * d

Hence,

Circumference of wheel = 3.14 * 63 = 197.82 feets

Distance traveled during one ride :

Circumference of wheel * number of revolutions

197.82 * 16 = 3165.12

= 3165 feets (nearest whole number)

4 0

3 years ago

Solve the equation. x2 = 160

zhannawk [14.2K]

80 because 160 divided by 2 is 80 so 2 x 80

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3 years ago

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What is 11/5 in a decimal

Vesnalui [34]

You can divide it and get 2.2

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3 years ago

Read 2 more answers

Which weighs more, a pound of cotton or a pound of bricks?

makvit [3.9K]

Is this a trick question? They're both a pound.

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3 years ago