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oee [108]
4 years ago
7

Given ΔABC, m∠A = 50°, m∠B = 60°, and a = 7. Find c.

Mathematics
1 answer:
Nezavi [6.7K]4 years ago
3 0

Answer:

D) 8.6

Step-by-step explanation:

The Law of Sines tells you ...

c/sin(C) = a/sin(A)

The sum of angles in a triangle tells you ...

C = 180° -A -B = 180° -50° -60° = 70°

Then ...

c = a·sin(C)/sin(A) = 7·sin(70°)/sin(50°) ≈ 8.6 . . . . . above equation multiplied by sin(C)

_____

There are apps available for phone or tablet for solving triangles. Many graphing calculators have functions that will do the same. Also, there are on-line triangle solvers that will give you the answer.

We include the working here because you're supposed to know how to work the problem. If all you want is the answer, that can be found faster a number of different ways.

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Answer:

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Click on the total mass of the 2 containers.
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Find the measure of angle y. Round your answer to the nearest hundredth. Right triangle
e-lub [12.9K]
<h3>The measure of angle y is 35.68 degrees</h3>

<em><u>Solution:</u></em>

Given that,

hypotenuse 12

Opposite 7

Find the measure of angle y

y is unknown and is between the hypotenuse and adjacent side

The figure is attached below

In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse

Therefore,

sin\ y = \frac{opposite}{hypotenuse}\\\\sin\ y = \frac{7}{12}\\\\sin\ y = 0.5833\\\\y = sin^{-1}\ 0.5833\\\\Use\ arcsin\ calculator\\\\y = 35.6829 \\\\y \approx 35.68

Thus measure of angle y is 35.68 degrees

7 0
3 years ago
BRAINLIEST! HELP ASAP MATH PLSSS
bearhunter [10]

Answer: The answer would be the second one.

Step-by-step explanation:

It is hard to explain but, I made and equation that would go with the problem which would be 2 points for every goal plus the free goals for every goal. (2g+f) and in then end it should all equal 15 so the equation so far would be 2g+f =15. This then leave you with three answers left. then I had plugged in a random number to solve it. g and f exacly should be the same number because for every goal you get a free point so if you get one goal then one extra point, if three goals then three extra points. so if you plug in 5 then 2 times 5 plus 5 is 15. The similarities between g and f is if you subtract them it is always going to be zero. Which makes the second answer correct for this problem.

8 0
3 years ago
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