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2 years ago

A painter leans a 12-foot ladder against a wall. The angle of elevation of the ladder is 55.

Mathematics

1 answer:

balandron [24]2 years ago

5 0

Answer:

9.83cm

Step-by-step explanation:

Since we are not asked what to look for. We can find the height of the wall.

Let the height of the wall be H

Given

Length of the ladder l = 12fot

Angle of elevation = 55degrees

Required

Height of wall H

Using the SOH CAH TOA identity

SIn theta = opp/hyp

Sin 55 = H/12

H - 12sin55

H = 12(0.8192)

H = 9.83cm

Hence the height of the ladder is 9.83cm

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Mr. West is standing on a cliff that is 25 1/5meters above the surface of the ocean. He spots a dolphin that is 2 3/5 meters und

zhenek [66]

Answer:

Total distance from Mr. West to dolphin $=27\frac{4}{5}\ meters$

Step-by-step explanation:

Height of cliff on which Mr. West is standing above the surface of ocean = $25 \frac{1}{5} \ meters$

Mr. West spot the dolphin under the water at a depth of = $2\frac{3}{5} \ meters$

∴ Total distance from Mr. West to dolphin= $(25 \frac{1}{5}+2\frac{3}{5})\ meters$

Adding mixed numbers

$(25 \frac{1}{5}+2\frac{3}{5})$

Adding whole numbers first.

$=25+2+\frac{1}{5}+\frac{3}{5}\\=27+\frac{1}{5}+\frac{3}{5}$

Adding fractions by taking LCD.

$=27+\frac{1+3}{5}\\=27+\frac{4}{5}\\=27\frac{4}{5}\ meters$

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3 years ago

Solve the formula V=h for r.

AnnyKZ [126]

Answer:

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Step-by-step explanation:

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3 years ago

Kevin runs a farm stand that sells apples and raspberries. Each pound of apples sells for $3.50 and each pound of raspberries se

krek1111 [17]

Kevin sold 10 pounds of apples and 20 pounds of raspberries.

Step-by-step explanation:

Given,

Cost per pound of apples = $3.50

Cost per pound of raspberries = $4

Total amount earned = $115

Let,

x represent the pounds of apples sold

y represent the pounds of raspberries sold

According to given statement;

3.50x+4y=115 Eqn 1

y = 2x Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$3.50x+4(2x)=115\\3.50x+8x=115\\11.50x=115$

Dividing both sides by 11.50

$\frac{11.50x}{11.50}=\frac{115}{11.50}\\x=10$

Putting x=10 in Eqn 2

$y=2(10)\\y=20$

Kevin sold 10 pounds of apples and 20 pounds of raspberries.

Keywords: linear equation, substitution method

Learn more about linear equations at:

#LearnwithBrainly

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2 years ago

In 2015, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year. At this rate, what

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