All categories

2 years ago

A ramp with a one meter distance from edge to edge reaches a height of 0.643 meters. What is the value of the acute angle?

Mathematics

1 answer:

natita [175]2 years ago

4 0

The value of the acute angle is 40°

Step-by-step explanation:

Let the angle be 'θ'

Length of the ramp = 1 m

Height = 0.643 m

To find :

The angle of elevation.

we can use sine to find the angle of elevation.

sin θ = 0.643/1

sin θ = 0.643

0.643 = sin 40°

sin θ = sin 40°

So, θ = 40°

The angle of elevation is 40°

You might be interested in

What decimal is equal to 3/10

Aleks [24]

Answer:

0.3

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A bag contains 6 red apples and 6 yellow apples. A sample of 3 apples is drawn. Find the probability that the sample contains mo

lys-0071 [83]

Answer: 21/44

Step-by-step explanation:

Given that:

Bag contains :

6 red apples

6 yellow apples

Number of samples drawn = 3

Probability that sample contains more red than yellow :

Then from the three samples, red = 2 and yellow = 1 or red for all 3

Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320

Prob RRY = (6/12)(5/11)(6/10)= 150/1320

Prob RYR is (6/12)(6/11)(5/10)= 180/1320

Prob YRR is (6/12)(6/11)(5/10)=180/1320

120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44

3 0

2 years ago

Twenty-five employees decide to chip in to buy a small refrigerator for the office. If the cost of the refrigerator is $275, how

Lynna [10]

275 / 25 = 11 25 goes into 275 11 times

8 0

2 years ago

Read 2 more answers

Express 60 as the product of its prime factors in ascending order and give your answer in index form

Allisa [31]

Answer:

${2}^{2}$ , 3, 5 are the prime factors of 60.

Step-by-step explanation:

$60 = 2 \times 2 \times 3 \times 5 \\ = {2}^{2} \times 3 \times 5 \\$

3 0

2 years ago

V^2+2=8-4v^2 solve the question algebically

iris [78.8K]

Answer:

v = ± sqrt(6/5)

Step-by-step explanation:

v^2+2=8-4v^2

Add 4v^2 to each side

v^2+ 4v^2+2=8-4v^2+ 4v^2

5v^2 +2 = 8

Subtract 2 from each side

5v^2 +2-2 = 8-2

5 v^2 = 6

Divide each side by 5

5v^2 /5 = 6/5

v^2 = 6/5

Take the square root of each side

sqrt(v^2) = ± sqrt(6/5)

v = ± sqrt(6/5)

8 0

3 years ago

Read 2 more answers