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kvasek [131]
3 years ago
14

1. Joshua has a ladder that is 14 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is

13.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer.
Mathematics
1 answer:
34kurt3 years ago
8 0

Answer:

Step-by-step explanation:

θ is the angle the ladder makes with the ground.

θ = arcsin(13.8/14) ≈ 80.3° > 78°

The ladder is not safe at that height and angle.

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Make p the subject of the formula A=p+prt÷100​
mario62 [17]

Answer:

p = a - prt x 100

Step-by-step explanation:

a = p + prt ÷ 100

a - prt = p ÷ 100

a - prt x 100 = p

Hope this helps. :)

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3 years ago
A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the
VARVARA [1.3K]
N = first integer 
n + 1 = second integer 
n + 2 = third 
n + 3 = fourth 

the sum is 114 so: 

n + (n + 1) + (n + 2) + (n + 3) = 114 

solve: 

4n + 6 = 114 
4n = 108 
n = 27 

so 27 is your first. 
27 + 1 is your second (remember n +1 n +2 and n +3) 

so your first four integers are: 27 28 29 and 30 


(I'll also help with one) 

week one: x 
week two: x + 5 
week three: 2(x+5) or 2x + 10 

week1 + 2 + 3 = 431 

so its: 

x + (x+5) + (2x + 10) 
4x + 15 = 431 
4x = 416 
x = 104 

its then: 

week one: 104 sold 
week two: 109 sold (x + 5) 
<span>week three: 218 (2x + 10)
</span>
7 0
3 years ago
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A=9y+3yx<br> Solve for y
algol13
A = y(9 + 3x) factor y out of 9y+3yx, then devided both sides by (9+3x)
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Elza [17]

Step-by-step explanation:

Perimeter of a square = 4 × L

L = Length of a side of the pond = 30m

Perimeter = 4 × L = 4 × 30 = 120m = 12,000 cm

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Number of paces = 12,000/60 = 200 paces

3 0
3 years ago
Looking at the two, 7<img src="https://tex.z-dn.net/?f=a%5E%7B4%7D%20b%5E%7B2%7D%20c%5E%7B2%7D%20and14abc%5E%7B6%7D" id="TexForm
AlexFokin [52]

Answer:

7abc^{2}

Step-by-step explanation:

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3 years ago
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