Answer:
Step-by-step explanation:
120 because 252-12=240 and 240 divided by 2=120
Answer:
Answer 44
Step-by-step explanation:
I'll do some of it. You can supply some of the vocabulary.
<Q = 56 degrees The triangle is isosceles.
<PRQ = 180 - 56 - 56 All triangles have 180 degrees.
<PRQ = 68 Do the subtraction
<PRQ = <SRT Why is this so? You have the term.
<TRS = 68 degrees The reason is the same as the last part.
<T = <RST The triangle is isosceles (2 equal angles)
<T = 68 Two equal angles = the same degrees
S = 180 - <T - < RST S is the left over from the 2 equal angles.
S = 180 - 68 + 68 Substitute.
S = 44
We have to <u>evaluate</u> the given <u>expression</u>.
If we multiple both numerator and denominator by 1 - sin(x), then the value remains same. Let's do that.
![\rm = \sqrt{ \dfrac{[1 - \sin(x)][1 - \sin(x) ]}{[1 + \sin(x)][1 - \sin(x) ]} }](https://tex.z-dn.net/?f=%20%5Crm%20%3D%20%20%5Csqrt%7B%20%5Cdfrac%7B%5B1%20-%20%20%5Csin%28x%29%5D%5B1%20-%20%20%5Csin%28x%29%20%5D%7D%7B%5B1%20%2B%20%20%5Csin%28x%29%5D%5B1%20-%20%20%20%5Csin%28x%29%20%5D%7D%20%7D%20)
![\rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{1- \sin^{2} (x) } }](https://tex.z-dn.net/?f=%20%5Crm%20%3D%20%20%5Csqrt%7B%20%5Cdfrac%7B%5B1%20-%20%20%5Csin%28x%29%5D%5E%7B2%7D%7D%7B1-%20%20%20%5Csin%5E%7B2%7D%20%28x%29%20%7D%20%7D%20)
<u>We know that:</u>
Therefore, <u>the expression becomes:</u>
![\rm = \sqrt{ \dfrac{[1 - \sin(x)]^{2}}{\cos^{2} (x)}}](https://tex.z-dn.net/?f=%20%5Crm%20%3D%20%20%5Csqrt%7B%20%5Cdfrac%7B%5B1%20-%20%20%5Csin%28x%29%5D%5E%7B2%7D%7D%7B%5Ccos%5E%7B2%7D%20%28x%29%7D%7D%20)
Answer:
40
- 147x - 216
Step-by-step explanation:
(5x - 24) (8x + 9)
First start with multiplying 5x to 8x and 9
40 +45x
then multiply -24 by 8x and 9
-192 x -216
40 +45x
-192 x -216
+
________________
40 - 147x - 216
38 divided by 40, then multiply by 100 = 95%
