Answer:
y = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
The answer is 12. I am 1,000,000% positive that it is the correct answer
Answer:
A = (2x² + 4x + 1) (8 − x)
A = -2x³ + 12x² + 31x + 8
Step-by-step explanation:
W = 2x² + 4x + 1
L = 8 − x
Area is width times length.
A = (2x² + 4x + 1) (8 − x)
If you wish, you can simplify with distribution.
A = 8 (2x² + 4x + 1) − x (2x² + 4x + 1)
A = 16x² + 32x + 8 − 2x³ − 4x² − x
A = -2x³ + 12x² + 31x + 8
Answer:
-5 < x < 5
Step-by-step explanation:
|x| < 5
This can be split into two cases: x < 5 and -x < 5 because |x| could be either x or -x depending on whether x is positive, negative, or 0. Solving the second one we get x > -5 so the answer is -5 < x < 5.
The measures of angles B and C are 118° and 62°, respectively.
<h3>What are the measures of two missing angles generated by the intersection of two lines?</h3>
A system of three angles is generated by two lines intersecting each other. In accordance with Euclidean geometry, angle C is opposite to the angle with measure 62° and angle B is supplementary to the same angle.
When two angles are opposite, then both have the same measure, and when two angles are supplementary, then the sum of their measures equals 180°. Therefore, the measures of angles B and C are 118° and 62°, respectively.
To learn more on angles: brainly.com/question/7116550
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