A wheelchair ramp measures 36 feet long and has a vertical rise of 3 feet, what is the angle of elevation to the top of the ramp
1 answer:
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A) Answer: A. 22.5 cm, 30 cm, and 37.5 cm
Setting the unity measurement as x, the three sides will be 3·x, 4·x, and 5·x. The sum of the three sides will be (3 + 4 + 5)·x = 12·x; this corresponds to the perimeter, therefore:
12·x = 90 cm
We can solve for x:
x = 90 / 12 = 7.5 cm
Hence, the sides will be:
7.5 · 3 = 22.5 cm
7.5 · 4 = 30 cm
7.5 · 5 = 37.5 cm
This situation is represented in option A (which is also the only option whose sides add up to 90).
B) Answer: C. never true
We have:
6 + 8x - 9 = 11x + 14 - 3x
Bring all the terms with x on the left, by subtracting from both sides 11x and -3x, and all the numbers on the right by subtrcting from both sides 6 and -9:
6 + 8x - 9 - 11x - (-3x) - 6 - (-9) = 11x + 14 - 3x - 11x - (-3x) - 6 - (-9)
Cancel out the opposite terms from each side:
8x - 11x + 3x = 14 - 6 + 9
Combine likely terms:
0x = 17
Now you should ask yourself: what number multiplied by zero gives 17 as a result? The answer is none because a number multiplied by zero always equals zero.
Hence, the statement is never true.
C) Answer:
We have:
5r + 4 ≤ 5
Subtract 4 from both sides:
5r + 4 - 4 ≤ 5 - 4
Combine likely terms:
5r ≤ 1
Divide both sides by 5:
To graph the set of solutions, you need to set:
y₁ = 5x + 4 and
y₂ = +5
Plot these two lines:
y₂ is a horizontal line at a height of 5;
y₁ is a line passing through (0, 4) and (1, 9)
The set of solutions will be the part of the graph in which y₁ lies underneath y₂ (see picture attached), that happens for .
Answer:
The quantity of large frames is 7
The quantity of small frames is 13
Step-by-step explanation:
Given as :
The price of each large frames = $ 10
The price of each small frames = $ 5
The total number of both frames bought = 20
The price for both the frames = $ 135
Now,
Let the quantity of large frames = L
And The quantity of small frames = S
So , According to question
The total number of both frames bought = 20
Or, The quantity of large frames + the quantity of small frame = 135
Or, L + S = 20 ......A
And $ 10 L + $ 5 S = $ 135 ................B
Or, $ 10× ( L + S ) = $ 10× 20
Or, $ 10 L + $ 10 S = $ 200
( $ 10 L + $ 10 S ) - ( $ 10 L + $ 5 S ) = $ 200 - $ 135
Or , ( $ 10 L - $ 10 L ) + ( $ 10 S - $ 5 S ) = $ 65
Or, 0 + 5 S = 65
∴ S =
I.e S = 13
So, The quantity of small frames = S = 13
Put the Value of S in eq A
So , L + S = 20
Or, L = 20 - S
Or, L = 20 - 13
∴ L = 7
So, The quantity of large frames = L = 7
Hence The quantity of large frames is 7
And The quantity of small frames is 13 Answer