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katovenus [111]
3 years ago
11

The legs of a right triangle have lengths of 28 and 16. What's the length of the hypotenuse, rounded to the nearest hundredth? A

. 32.25 B. 32.45 C. 22.98 D. 22.94
Mathematics
1 answer:
Rasek [7]3 years ago
6 0

Answer:

h = 32.25.

Step-by-step explanation:

h^2 = 28^2 + 16^2 (Pythagoras theorem).

h = √1040

h = 32.25.

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If sin(theta)=0.7 what is tan(theta)?
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The value of tan theta from the given. expression is  7/√51

<h3>Trigonometry identity</h3>

Trigonometry identity are expressions written in terms of sine, cosine and tangents.

Given the following trigonometry values as shown:

sin(theta)=0.7

Convert the decimal to fractions

sin(theta)= 7/10

According to SOH CAH TOA;

sin theta = opp/hyp

Determine the adjacent

adj = √hyp²-opp²

Substitute the values;

adj = √10²-7²

adj = √100-49

adj = √51

Determine the value of tan theta

tan(theta) = opp/adj

Substitute

tan(theta) = 7/√51

Hence the value of tan theta from the given. expression is  7/√51

Learn more on trig identity here: brainly.com/question/20094605

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Check the picture below.

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