
Say r is rational. Suppose for a second, that s is not. Then, r+s is irrational. But this contradicts the fact that b is rational.
So, if one root is rational, then the other root is also rational
To simplify 14^(5x+2)<11(4x-1)
x < -2.130032
The angle of depression equals 32.
A way that you can solve this is by finding angle c. Angle C would be the same as the angle of depression because of alternate angles being congruent.
So you do the triangle angle sum theorem.
58+90+x=180
Simplify
148 +x=180
Subtract 148 from both sides
x=32
So Since angle c equals to 32 degrees, then the angle of depression is also 32 degrees.
Answer:

Step-by-step explanation:








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Answer:
30 feet
Step-by-step explanation:
A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,
original mast height = 40 feet
4 * x = original mast height = 40 feet
divide both sides by 4 to get x
x = 10 feet
3 * x = mural mast height = 3 * 10 feet = 30 feet