I'll do Problem 8 to get you started
a = 4 and c = 7 are the two given sides
Use these values in the pythagorean theorem to find side b

With respect to reference angle A, we have:
- opposite side = a = 4
- adjacent side = b =

- hypotenuse = c = 7
Now let's compute the 6 trig ratios for the angle A.
We'll start with the sine ratio which is opposite over hypotenuse.

Then cosine which is adjacent over hypotenuse

Tangent is the ratio of opposite over adjacent

Rationalizing the denominator may be optional, so I would ask your teacher for clarification.
So far we've taken care of 3 trig functions. The remaining 3 are reciprocals of the ones mentioned so far.
- cosecant, abbreviated as csc, is the reciprocal of sine
- secant, abbreviated as sec, is the reciprocal of cosine
- cotangent, abbreviated as cot, is the reciprocal of tangent
So we'll flip the fraction of each like so:

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Summary:
The missing side is 
The 6 trig functions have these results

Rationalizing the denominator may be optional, but I would ask your teacher to be sure.
Answer:
BC
Step-by-step explanation:
because it is what it is
Answer:
(A) Yes, x = 2 is a zero of the polynomial.
The quotient is x² + 26x + 160 and the remainder is 0
Step-by-step explanation:
Given;
p(x) = x³ + 24x² + 108x - 320
Using remainder theorem to test if x = 2 is a zero of the given function
p(2) = (2)³ + 24(2)² + 108(2) - 320
= 8 + 96 + 216 - 320
= 0
Thus, x = 2 is zero of the function
(ii) to get the quotient and the remainder of the given function, divide the function by 'x - 2'
x² + 26x + 160
x - 2 √ x³ + 24x² + 108x - 320
- (x³ - 2x²)
0 + 26x² + 108x - 320
- (26x² - 52x)
0 + 160x - 320
- (160x - 320)
0 + 0
The quotient is x² + 26x + 160
The remainder is 0
Thus, the correct option is A.
Yes, x = 2 is a zero of the polynomial.
The quotient is x² + 26x + 160 and the remainder is 0
Answer:
The answer to your question is: x = 2
Step-by-step explanation:
Data
LM = 6x
MN = 10x + 4
LN = 20x - 4
x = ?
Process
LM + MN = LN
Then
6x + 10x + 4 = 20x - 4
Solve for x 16x + 4 = 20x -4
16x - 20x = -4 - 4
-4x = -8
x = -8/-4
x = 2
6(2) + 10(2) + 4 = 20(2) - 4
12 + 20 + 4 = 40 -4
36 = 36
Answer:
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Step-by-step explanation:
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