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Sidana [21]
3 years ago
7

2. Use the figure below and angle relationships to

Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

m<1 = 90°

m<2 = 36°

Step-by-step explanation:

✔️m<2 + 54° = 90° (complementary angles)

m<2 = 90° - 54° (subtraction property of equality)

m<2 = 36°

✔️m<1 = m<2 + 54° (supplementary angles)

m<1 = 36° + 54°

m<1 = 90°

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Answer:

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Step-by-step explanation:

a. How far out horizontally on the ground will it protrude from the building?

Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.

So, by ratios rise/run = 1/12 = 12/x

1/12 = 12/x

x = 12 × 12

x = 144 inches

Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet

b. How long should the ramp be?

The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.

So, L = √(12² + 144²)

= √[12² + (12² × 12²)]

= 12√(1 + 144)

= 12√145

= 12 × 12.042

= 144.5 inches

Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches

c. What percent grade is the ramp?

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= 12 inches/144 inches × 100 %

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= 0.0833 × 100 %

= 8.33 %

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2 years ago
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3 0
3 years ago
A survey found that 12 out of 30 people preferred bacon over sausage. According to this survey, what percent of people prefer ba
postnew [5]

Given

A survey found that 12 out of 30 people preferred bacon over sausage.

Find out the  what percent of people prefer bacon over sausage.

To proof

As given in the question

survey found that 12 out of 30 people preferred bacon over sausage.

Total number of people = 30

people preferred bacon over sausage = 12

Formula

Percentage =\frac{Part}{Total} \times 100

put the value in the formula

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solve the above

percent of people prefer bacon over sausage = 40 %

Hence proved


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