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dsp73
4 years ago
11

In ΔMNO, the measure of ∠O=90°, MO = 15, ON = 8, and NM = 17. What ratio represents the cosine of ∠N?

Mathematics
1 answer:
Nesterboy [21]4 years ago
4 0

Answer: The required ratio would be 8:17.

Step-by-step explanation:

Since we have given that

∠O=90°,

MO = 15, (Perpendicular)

ON = 8, (Base) and

NM = 17 (Hypotenuse)

So, we need to find the cosine of ∠N.

As we know that

\cos N=\dfrac{Base}{Hypotenuse}\\\\\cos N=\dfrac{8}{17}

Hence, the required ratio would be 8:17.

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From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many combin
borishaifa [10]

Answer:

495 combinations of 4 students can be selected.

Step-by-step explanation:

The order of the students in the sample is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

How many combination of random samples of 4 students can be selected?

4 from a set of 12. So

C_{n,x} = \frac{12!}{4!(8)!} = 495

495 combinations of 4 students can be selected.

8 0
3 years ago
The sum of two consecutive odd integers is 236. What is the smaller integer?
Kryger [21]
HEY there,

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hope this helped you 

Plz mark brainliest if you want (;

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4 years ago
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Answer:

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