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joja [24]
3 years ago
13

50 POINTS + BRAINLIEST TO CORRECT ANSWER!! TRIG/GEO

Mathematics
2 answers:
WINSTONCH [101]3 years ago
3 0

Option C:

We can find the value of PR using law of cosines.

Solution:

Given data:

∠Q = 18°, r = 9.5, p = 6.0

To find which length could be find in the triangle:

Law of cosines:

a^{2}=b^{2}+c^{2}-2 b c \cos A

Substitute a = q, b = r, c = p and A = Q

q^{2}=r^{2}+p^{2}-2 r p \cos Q

If we substitute the values given, we can find q.

q = PR

PR^{2}=r^{2}+p^{2}-2 r p \cos Q

Hence we can find the value of PR using law of cosines.

Option C is the correct answer.

Solnce55 [7]3 years ago
3 0

Answer:

It is option C

Step-by-step explanation:

took the test

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2 years ago
The difference of the square of a number and 40 is equal to 3 times that number. Find the positive solution.
Wewaii [24]

Answer: The answer is 8.

Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;

Y^2 - 40.

Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,

Y^2 - 40 = 3Y

If we move all expressions to one side of the equation, what we would have is,

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(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)

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