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pickupchik [31]
3 years ago
9

A ladder leaning against a building makes an angle of 78 degrees with the ground. The foot of the ladder is 5 feet from the buil

ding. How long is the ladder?
Mathematics
1 answer:
tatiyna3 years ago
4 0

9514 1404 393

Answer:

  24 feet

Step-by-step explanation:

The side adjacent to the angle is given, and the hypotenuse of the triangle is the unknown. The cosine relation applies:

  Cos = Adjacent/Hypotenuse

  hypotenuse = ladder length = (5 ft)/cos(78°) ≈ 24.0 ft

The ladder is about 24 feet long.

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serg [7]
1)
2(a + 3) = -12
Divide by 2
a + 3 = -6
Subtract 3
a = -9

2)
3(p + 2) = 18
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p + 2 = 6
Subtract 2
p = 4

3)
4(2r + 8) = 88
Dive by 4
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Subtract 8
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Divide by 2
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4)
2(3a + 2) = -8
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5)
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3 0
3 years ago
Read 2 more answers
H^2+14h=-31 Solve by completing the square
matrenka [14]
Since the constant has been moved to the left side, you can move on to the next step which is adding (b/2)² to both sides of the equation.

h² + 14h + (14/2)² = -31 + (14/2)²

Simplify the parenthesis and exponent.

h² + 14h + 7² = -31 + 7²

h² + 14h + 49 = -31 + 49

h² + 14h + 49 = 18

Factor the expression of the left.

(h + 7)(h + 7) = 18

Take the square root of both sides.

√(h + 7)(h + 7) = ± √9 • 2

(h + 7) = ± 3√2

h + 7 = ± 3√2

Subtract 7 from both sides.

You solutions are:

h = -7 + 3√2 → -2.7573 → -2.76

h = -7 - 3√2 → -11.2426 → -11.24
5 0
3 years ago
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Find the values of a and b so that the solution of the linear system is (-9,1).
Diano4ka-milaya [45]

Answer:

Step-by-step explanation:

we can write -9 instead of x and y=1 instead of 1

so we write solution again

-9a+1b=-31

-9a-1b=-41

-18a=-72

a=4

we should write 4 instead of a

-9(4)+1b=-31

-36+b=-31

b=5

a=4

6 0
3 years ago
Qustion to give kagimatoby a brainly
Colt1911 [192]

Answer:

wdym

Step-by-step explanation:

7 0
3 years ago
The original price of a mountain bike was reduced by $125. If p = the mountain bike's original price in dollars, which algebraic
Damm [24]
P-125 is the answer i believe you are looking for. Since p is the original amount of the mountain bike, and the question says the price was reduced by $125, this means that $125 was subtracted from p, the original price. Therefore, p-125.
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3 years ago
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