Answer:
PR = 39 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
PR² + PQ² = QR² , that is
PR² + 80² = 89²
PR² + 6400 = 7921 ( subtract 6400 from both sides )
PR² = 1521 ( take the square root of both sides )
PR = 
= 39
Answer: 160 miles
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Explanation:
x = number of miles driven, y = cost
First plan: y = 0.08x + 61.98
Second plan: y = 0.13x + 53.98
Equate the two right hand sides of each equation; solve for x
0.13x + 53.98 = 0.08x + 61.98
0.13x - 0.08x = 61.98 - 53.98
0.05x = 8
x = 8/0.05
x = 160
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Extra Info: plugging x = 160 into each equation gives us...
y = 0.08x + 61.98 = 0.08*160+61.98 = 74.78
y = 0.13x + 53.98 = 0.13*160 + 53.98 = 74.78
Therefore, driving 160 miles for each plan yields the same cost $74.78, which helps us confirm we have the right answer.
Answer:
∠A + ∠C=90°(Right angle triangle)
37+∠C=90°
∠C=90°-37°
∠C=53°
<em><u>Hop</u></em><em><u>e</u></em><em><u> it</u></em><em><u> helped</u></em><em><u> you</u></em><em><u>:</u></em><em><u>)</u></em>
Answer:
Algebraic Expression: 5<em>n</em>
a. 5(15) = 75$
b. 5(25) = 125$
c. 5(35) = 175$
d. 5(45) = 225$
Step-by-step explanation:
If <em>n</em> represents the amount of pools Mark has cleaned, and he earns $5 for each pool, then 5n will be the algebraic expression. As <em>n</em> represents the number of pools he has cleaned, we need to <u>plug in</u> the given numbers to get the answer, hence [5(15), 5(25), 5(35), 5(45)]. Multiply $5 by the given numbers to get the amount of money Mark would earn if he cleaned the amount of pools.
