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KiRa [710]
3 years ago
6

A builder wishes to construct a ramp 21 feet long that rises to a height of 5 feet above level ground. What angle should the ram

p make with the horizontal? Decimal approximations will be marked incorrect. Symbolic trigonometric expressions such as arctan(5) are accepted. 1/ 5 21 α cos radians
Mathematics
1 answer:
Alex3 years ago
4 0

Answer:

α = 13.39249775

Step-by-step explanation:

Length of the vamp = 21 ft long

Height of the vamp= 5 ft

using SOHCAHTOA

tanα = opposite /adjacent

Tan α = 5/21

α = arctan(5/21)

α = 13.39249775

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The area of a rectangle is 162/3 ft2 . The length is 61/4 . Find the width. Show all work
brilliants [131]

Answer:

I have gotten 216/61, but I am not sure if this is right.

Step-by-step explanation:

By using the "Keep It, Change It, Flip It" tactic, I was able to come up with an answer and simplify it.

1. Keep the original divisor.

    162/3

2. Change the sign.

    Division becomes multiplication.

3. The last fraction is reciprocated.

    61/4 becomes 4/61.

3 0
3 years ago
Randy and Carla like to walk the path
Maksim231197 [3]
<h3>Answer:  18 miles</h3>

Reason:

The path is 2 miles and Randy walked it 13 times. He walked a total of 2*13 = 26 miles.

Carla walked the path 22 times, so she walked a total of 2*22 = 44 miles.

The difference of those results is 44-26 = 18 miles.

If you wanted to do the full calculation in one line, then it would be

2*22 - 2*13 = 18

or you could say

2*(22-13) = 18

8 0
2 years ago
David is buying 3 books in a trilogy set for $24.81. He will save $6.69 by buying the trilogy set instead of buying individual b
Ainat [17]

Answer:

Cost of each individual book = $10.5

Step-by-step explanation:

Given:

Cost of 3 book set = $24.81

Amount save = $6.69

Find:

Cost of each individual book

Computation:

Assume:

Cost of each individual book = a

Total cost = 3a

So,

Total cost = $24.81 + $6.69

Total cost = $31.5

So,

3a = $31.5

a = $10.5

Cost of each individual book = $10.5

4 0
3 years ago
19 dollars for 5 books
viktelen [127]

Answer:

$3.80 per book

Step-by-step explanation:

I divided 19 by 5 to get the price per book

3 0
3 years ago
A spinner is divided into 4 sections. The spinner is spun 100 times. The probability distribution shows the results.
Vitek1552 [10]

P(1≤x≤3) defined the probability that the result is between 1 and 3, included. You can answer this question in two ways:

1. Sum the probabilities of good events:

From the graph, we have

P(x=1) = 0.32,\quad P(x=2) = 0.24,\quad P(x=3) = 0.28

So,

P(1\leq x \leq 3) = 0.32+0.24+0.28 = 0.84

2. Use complementary probabilities

Asking that the result is 1, 2 or 3 is the same as asking that the result is not 4. The probability that the result is 4 is 0.16, so the probability that the result is not 4 will be

P(x\neq 4) = 1-P(x=4) = 1-0.16=0.84

The result is obviously the same.

5 0
3 years ago
Read 2 more answers
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