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Gala2k [10]
3 years ago
14

A 12-foot ladder is placed 4 feet away from a house as shown.

Mathematics
2 answers:
elena-s [515]3 years ago
6 0

Answer:

Answer:  x = 71 degrees. Yes, the ladder meets safety standards

Discussion:

The problem describes a right triangle with hypotenuse 12, the side against the ground is 4, and the angle between those two sides is "x".  For this triangle,

cosx = (side adjacent to angle) / hypotenuse

      =  4                                      / 12

      =   1/3

To find "x" take the inverse cosine of each side to find that :

x  is approximately 70.52 degrees. That's 71 degrees rounded to the nearest degree.

Step-by-step explanation:

HOPE THIS HELPED!

-

Flura [38]3 years ago
6 0

Answer: x = 71

yes

Step-by-step explanation:

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3

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7 0
4 years ago
Which is f(5) for the function -2x2 + 2x - 3?
Schach [20]

The value of f(5) is -37

<em><u>Solution:</u></em>

<em><u>Given function is:</u></em>

f(x) = -2x^2+2x+3

We have to find the value of f(5)

To find the value of f(5), we have to substitute x is equal to 5 in given function

Plug in x = 5 in f(x)

f(x) = -2x^2+2x+3\\\\f(5) = -2(5)^2+2(5) + 3\\\\\text{Simplify the above expression }\\\\f(5) = -2(25) + 10 + 3\\\\\text{Solve the above expression }\\\\f(5) = -50 + 10 + 3\\\\f(5) = -40 + 3 = -37

Thus value of f(5) is -37

6 0
3 years ago
Aaden is packing boxes into a carton that is 8 inches long 8 inches wide and 4 inches tall. the boxes are 2 inches long 1 inch w
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3 years ago
Which equation demonstrates the additive identity property?
Bezzdna [24]

Answer:

Step-by-step explanation:

Solve for o in the equation (7 + 4) + (7 - 41) = 14©(7 + 4) + 0 = 7 + 41o(7 + 4)(1) = 7 + 41o(7 + 41) + ( - 7 - 41) = 0

We first need to simplify the expression removing parentheses

Simplify 41o(7 + 4): Distribute the 41o to each term in (7+4)

41o * 7 = (41 * 7)o = 287o 41o * 4 = (41 * 4)o = 164o

Our Total expanded term is 287o + 164o

Simplify 41o(7 + 41): Distribute the 41o to each term in (7+41)

41o * 7 = (41 * 7)o = 287o 41o * 41 = (41 * 41)o = 1681o

Our Total expanded term is 287o + 1681o

Our updated term to work with is (7 + 4) + (7 - 41) = 14©(7 + 4) + 0 = 7 + 287o + 164o(1) = 7 + 287o + 1681o + ( - 7 - 41) = 0

We first need to simplify the expression removing parentheses

Simplify 164o(1): Distribute the 164o to each term in (1)

164o * 1 = (164 * 1)o = 164o Our Total expanded term is 164o

Our updated term to work with is (7 + 4) + (7 - 41) = 14©(7 + 4) + 0 = 7 + 287o + 164o = 7 + 287o + 1681o + ( - 7 - 41) = 0

Step 1: Group variables: We need to group our variables (7 and 14©(7. To do that, we subtract 14©(7 from both sides (7 - 14©(7 = 14©(7 - 14©(7

Step 2: Cancel 14©(7 on the right side: 0o = 0 Step 3: Divide each side of the equation by 0

0o 0 = 0 0 o =

5 0
3 years ago
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