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Pavel [41]
3 years ago
11

In right ∆LMN, sin M = 0.759. What is cos N? A. 0.121 B. 0.241 C. 0.349 D. 0.651 E. 0.759

Mathematics
1 answer:
Hatshy [7]3 years ago
6 0

Answer:

E. 0.759

Step-by-step explanation:

You can take this right triangle to have a base length side LM , height of LN and a hypotenuse of MN

The sine of angle ∠LMN is 0.759, find the value of ∠LMN

sin^-1(0.759)=49.38

∠LMN=49.38°

Find angle ∠LNM

You know sum of angles in a triangle add up to 180°, given that this is a right-triangle, the base angle is 90° hence

∠LNM=180°-(90°+49.38°)

∠LNM= 180°-139.38°=40.62°

Find cos 40.62°

Cos 40.62°=0.7590

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Answer:

a+b = 12

Step-by-step explanation:

There are 36 possible outcomes for rolling two dice. Let A be the number rolled by Abed and D be the number rolled by Dawn. The sample space, in the format [A,D], of all of the possibilities in which Dawn's number is larger is:

[5,6]

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There are 15 ways out of 36 possible ways of Dawn getting the higher number. In the simplest form:

\frac{15}{36}=\frac{5}{12}=\frac{a}{b}\\ a+b = 5+12 = 17

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Explain how to find which value is greater (5/6)*81 or (9/10)*81 without multiplying?
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The value (9/10)*81 is greater than (5/6)*81

<h3>How to determine the greater value?</h3>

The values are given as:

(5/6)*81 and (9/10)*81

Remove the common factor in both values

So, we have:

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