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sertanlavr [38]
2 years ago
10

In one day Sasha got 1 hour of sleep for every 3 hours she was awake if there are 24 hours in a day how many hours of sleep did

Sasha get
Mathematics
1 answer:
Gre4nikov [31]2 years ago
6 0

Answer:

Hours slept = 6 hours

Hours awake = 18 hours

Step-by-step explanation:

Sasha got 1 hour of sleep for every 3 hours she was awake.

So,

<u>This means:</u>

Slept : Awake = 1 : 3

Total hours in a day = 24 hours

<u>Let </u>

Hours slept = 1x and hours awake = 3x

<u>Hence,</u>

1x + 3x = 24 hours

4x = 24

Divide both sides by 4

x = 24 / 4

x = 6

<u>So,</u>

Hours slept = 1(6) = 6 hours

Hours awake = 3(6) = 18 hours

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
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8)

Given that,

tan\ \theta = \frac{-5}{4}

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From given,

tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34

Thus value of \theta is -51.34 degrees

Convert degrees to radians

-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian

Thus \theta is -0.896 radians

9)

From given,

radius = 15.4 cm

\theta = \frac{13 \pi }{15}

<em><u>The length of arc when angle in radians is:</u></em>

arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91

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4 0
3 years ago
Solve the equation using the zero-product property. (2x − 8)(7x + 5) = 0 x = –2 or x = 7 x = 4 or x = x = 4 or x = x = –4 or x =
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Answer:

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Step-by-step explanation:

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<u>Proof</u>

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⇒ 3x = x - 4   and   3x = -(x - 4)

⇒ 3x = x - 4

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⇒ x = -2

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Inputting x = 1 into the 2 equations:

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⇒ f(1) = |1 - 4| + 2 = 5

Therefore, as the y-values are the same, x = 1  IS a solution

and the solution is (1, 5)

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I Believe it is 648  
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