3 years ago

If the difference between a number and 21 is divided by2, the result is 4 times the number. What is the number

1 answer:

6 0

(n-21)/2=4n is the equation

First, divide what is in the parentheses by 2
0.5n-10.5=4n

Then, multiply the whole equation by 2 so we have all whole numbers
n-21=8n

Move N so that it is with 8n
7n=-21

Divide 21 by 7
n=-3

Solution: The number (n) is equal to -3

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In ΔQRS, the measure of ∠S=90°, the measure of ∠R=29°, and SQ = 5.8 feet. Find the length of RS to the nearest tenth of a foot.

taurus [48]

Answer:

10.5 ft

Step-by-step explanation:

In ΔQRS,

m∠S=90°
m∠R=29°,
SQ = 5.8 feet.

See the diagram below.

The triangle is a Right Triangle,

Using trigonometric ratios,

$Tan R=\dfrac{|SQ|}{|RS|} \\Tan 29^\circ=\dfrac{5.8}{|RS|}\\$Cross multiply$\\|RS|XTan 29^\circ=5.8\\|RS|=\dfrac{5.8}{Tan 29^\circ}\\$=10.5 ft (to the nearest tenth of a foot)$