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natka813 [3]
3 years ago
6

The measure of one of the acute angles in a right triangle is given. find the measure of the other acute angle

Mathematics
1 answer:
EleoNora [17]3 years ago
5 0
The sum of angles in a triangle is 180 degrees. In a right angle triangle one angle will be 90 degrees. And if one of the acute angles is already know then just minus 90 degrees and the known acute angle from 180 degrees to find the other acute angle.

180-90-known acute angle = unknown acute angle
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Answer:

40

Step-by-step explanation:

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40 x π/10

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ElenaW [278]

Answer:

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Step-by-step explanation:

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Zachary has nickels, dimes and quarters in his piggy bank. He has 58 coins with a total value of $6.50. There are twice as many
kari74 [83]

Answer:

nickel = 16

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quarters = 10

Step-by-step explanation:

Given that,

number of coins Zachery have in his piggy bank = 58

total money Zachery have in his piggy bank = $6.50

Suppose number of nickel = x

               number of dimes = 2x

               number of quarters = y

1 nickel = $0.05

1 dime = $0.10

1 quarter = $0.25

<h3>Equation 1</h3>

x + 2x + y = 58

3x + y = 58

<h3>Equation 2</h3>

x(0.05) + 2x(0.10) + y(0.25) = 6.50

0.05x + 0.2x + 0.25y = 6.50

0.25x + 0.25y = 6.50

y = 58 - 3x

<h3>put value of y in equation 2</h3>

0.25x + 0.25(58 - 3x) = 6.50

0.25x + 14.5 - 0.75x = 6.50

-0.5x = 6.50 - 14.5

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x = 16

y = 58 - 3x

y = 58 -3(16)

y =10

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number of quarters = y = 10

5 0
3 years ago
Jason ran 2 3/4 miles in 2/5 of an hour. How far can jason run in one hour
pogonyaev

Answer:

6 7/8 miles per hour

Step-by-step explanation:

2 3/4 ÷ 2/5

change mixed number into improper fraction; 2 3/4 = 11/4

when dividing fractions, multiply by the reciprocal of the second fraction

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5 0
3 years ago
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