Hello! I need the answer to the question showed in the picture below Please have your answer in an improper fraction, thank you!

−78+−12=−138

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-7/8, -1/2) = 8

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−78×11)+(−12×44)=?

Complete the multiplication and the equation becomes

−78+−48=?

The two fractions now have like denominators so you can add the numerators.

Then:

−7+−48=−118

This fraction cannot be reduced.

The fraction

−118

is the same as

−11÷8

Convert to a mixed number using

long division for -11 ÷ 8 = -1R3, so

−118=−138

Therefore:

−78+−12=−138

Solution by Formulas

Apply the fractions formula for addition, to

−78+−12

and solve

(−7×2)+(−1×8)8×2

=−14+−816

=−2216

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(22,16) = 2

−22÷216÷2=−118

Convert to a mixed number using

long division for -11 ÷ 8 = -1R3, so

−118=−138

Therefore:

−78+−12=−138

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,