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3 years ago

7

4. A school has 100 windows. On a cool day 95 of the windows were closed. Which decimal represents the amount of windows that we

re OPEN?

2 answers:

lions [1.4K]3 years ago

6 0

.05 or 5%. 5/100 windows were open. You put a zero before the five in decimal form to show it is in the hundredths place.

pshichka [43]3 years ago

5 0

Answer:

0.05

Step-by-step explanation:

100 windows is 1.00

95 windows is 0.95

5 = 0.05

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Elanso [62]

Answer:

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Step-by-step explanation:

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3 years ago

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valkas [14]

Answer:

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Step-by-step explanation:

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2 years ago

find the measure of the angle of elevation of the sun to the nearest degree, if a 100ft tall building casts a 150ft shadow.

Svet_ta [14]

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3 years ago

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Serggg [28]

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3 years ago

Read 2 more answers

Given that sin theta = 1/4, 0→theta→π/2, what<br>. what is the exact value of cos 8?

natali 33 [55]

<h3>Answer: Choice B $\frac{\sqrt{15}}{4}$ </h3>

===========================================================

Work Shown:

Angle theta is between 0 and pi/2, so this angle is in quadrant Q1.

Square both sides of the given equation

$\sin \theta = \frac{1}{4}\\\\\sin^2 \theta = \left(\frac{1}{4}\right)^2\\\\\sin^2 \theta = \frac{1}{16}$

Then use the pythagorean trig identity to get

$\sin^2 \theta + \cos^2 \theta = 1\\\\\cos^2 \theta = 1-\sin^2 \theta\\\\\cos \theta = \sqrt{1-\sin^2 \theta} \ \ \ \text{cosine is positive in Q1}\\\\\cos \theta = \sqrt{1-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16}{16}-\frac{1}{16}}\\\\\cos \theta = \sqrt{\frac{16-1}{16}}\\\\\cos \theta = \sqrt{\frac{15}{16}}\\\\\cos \theta = \frac{\sqrt{15}}{\sqrt{16}}\\\\\cos \theta = \frac{\sqrt{15}}{4}\\\\$

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3 years ago