-2/3 (x+5) + 4(x+5) - 10/3(x+5)

Mathematics

1 answer:

defon3 years ago

6 0

Answer:

Solve for x = all values of x are solutions

Step-by-step explanation:

Simplify the following:

(-2 (x + 5))/3 + 4 (x + 5) - (10 (x + 5))/3

Put each term in (-2 (x + 5))/3 + 4 (x + 5) - (10 (x + 5))/3 over the common denominator 3: (-2 (x + 5))/3 + 4 (x + 5) - (10 (x + 5))/3 = (-2 (x + 5))/3 + (12 (x + 5))/3 - (10 (x + 5))/3:

(-2 (x + 5))/3 + (12 (x + 5))/3 - (10 (x + 5))/3

(-2 (x + 5))/3 + (12 (x + 5))/3 - (10 (x + 5))/3 = (-2 (x + 5) + 12 (x + 5) - 10 (x + 5))/3:

(-2 (x + 5) + 12 (x + 5) - 10 (x + 5))/3

(12 (x + 5) - 10 (x + 5)) - 2 (x + 5) = 0:

0/3

0/3 = 0:

Answer: 0

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In ΔRST, the measure of ∠T=90°, the measure of ∠S=66°, and ST = 2.2 feet. Find the length of TR to the nearest tenth of a foot..

Gennadij [26K]

Answer:

The length of TR to the nearest tenth of a foot is 4.9 feet.

Step-by-step explanation:

Δ RST is a Right Angle Triangle at

∠ T = 90°

∠ S = 66°

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To Find:

TR = ?

Solution:

In Right Angle Triangle Δ RST we will apply Tangent Rule

$\tan S = \frac{\textrm{side opposite to angle S}}{\textrm{side adjacent to angle S}}\\\\\tan 66= \frac{TR}{ST}\\ \\2.246 = \frac{TR}{2.2} \\\\\therefore TR = 2.246\times 2.2\\\\\therefore TR = 4.941\ feet\\\therefore TR =4.9\ feet$