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Hitman42 [59]
3 years ago
12

Given the following triangle, if b = 9 and B = 15°, find a.

Mathematics
1 answer:
NeX [460]3 years ago
6 0
The picture in the attached figure

we know that
Applying the law of sines
b/sin B=a/sin A------> a=b*sin A/sin B
b=9
B=15°
A=180-(90+15)-----> A=75°
a=?
a=b*sin A/sin B-----> a=9*sin 75/sin 15----> a=33.59 units

the answer is
33.59 units


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How are pairs of alternate interior angles related to one another? How are pairs of alternate exterior angles related to one ano
eduard

Answer:Each pair of alternate interior angles is congruent, and each pair of alternate exterior angles is congruent.

Step-by-step explanation:

4 0
3 years ago
In the New York State daily lottery game, a sequence of 4 (not necessarily different) digits in the range of 0-9 is selected at
devlian [24]

Answer:

50.40% probability that all 4 are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

4 digits, all different

For the first digit, it can be any of them, so there are 10 possible

For the second digit, it can be any of them other than the first digit. So there are 9 possible.

For the third digit, it can be any of them, other than the first and the second. So there are 8 possible.

By the same logic, 7 possible digits for the fourth. So

D = 10*9*8*7 = 5040

Total outcomes:

4 digits, each can be any of them(10 from 0 - 9).

So

T = 10*10*10*10 = 10000

Probability:

p = \frac{D}{T} = \frac{5040}{10000} = 0.5040

50.40% probability that all 4 are different.

5 0
3 years ago
Select the action you would use to solve 4x = 16. Then select the property
oksian1 [2.3K]

Answer:

A.

Step-by-step explanation:

Since you are trying to find <em>x</em>, you have to divide both sides by 4 to isolate <em>x</em> and get your answer.

3 0
3 years ago
1/2m−5=23. What is the answer please tell me, it's very important.
olga_2 [115]

Answer:

m = 56

Step-by-step explanation:

1/2m - 5 = 23

add 5 to both sides

1/2m - 5 + 5 = 23 + 5

1/2m = 28

multiply both sides by 2

1/2m(2) = 28(2)

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3 0
2 years ago
Show how to solve the following; answer must be with fractions and pi
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Answer:

3pi/4 and -pi/4

Step-by-step explanation:

We can simplify -6/6 to -1.

Therefore, this function can be simplified to arctan(-1).

Recall that the meaning of arctan is to find a value that will get the value inside the parenthesis when taken the tangent of it. In other words, tan(x) = -1.

Recall that tan(x) = sin(x)/cos(x). Now recall that sin(pi/4) and cos(pi/4) are both sqrt(2)/2, meaning that tan(pi/4) is 1. To make it -1, we can either make sin(x) -1 while keeping cos(x) 1, or the other way around.

If x is -pi/4, cos(x) will still be 1, but sin(x) will be -1, so tan(-pi/4) will be -1.

If x is 3pi/4, cos(x) will be -1, but sin(x) will still be 1, so tan(3pi/4) will be -1.

Side note: there are still infinite more answers. You can attain them by adding or subtracting 2pi as many times as you want from 3pi/4 or -pi/4 and still get an arctan of -1.

3 0
3 years ago
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