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Gelneren [198K]
3 years ago
10

A 16 foot ladder rests against the side of a house and the base of the ladder is 4 feet away. How high above the ground is the t

op of the ladder? Round to the nearest tenth of a foot.
Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0

Answer:

  15.5 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle with hypotenuse 16 ft and one side length of 4 ft. If x represents the height of the ladder on the building, then the Pythagorean theorem tells us ...

  x^2 + (4 ft)^2 = (16 ft)^2

  x^2 = 240 ft^2 . . . . . . subtract 16 ft^2

  x ≈ 15.5 ft . . . . . . . . . . take the square root

The top of the ladder is about 15.5 ft above the ground.

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Andrew has one book that is 237 inches thick and a second book that is 3.56 inches thick. If he stacks the books, about how tall
sattari [20]
You just add the thickness of the 2 books which is 237+3.56=240.56
Then you round the hundredth place which is 5 and next to it is the number 6 and that’s 5+ so it’s going up by a number. The answer is 240.6 inches tall. I tried explaining it well so sorry if you didn’t understand.
3 0
3 years ago
I need help please I don’t understand
defon

9514 1404 393

Answer:

  1. ∠EDF = 104°

  2. arc FG = 201°

  3. ∠T = 60°

Step-by-step explanation:

There are a couple of angle relationships that are applicable to these problems.

  • the angle where chords meet is half the sum of the measures of the intercepted arcs
  • the angle where secants meet is half the difference of the measures of the intercepted arcs

The first of these applies to the first two problems.

1. ∠EDF = 1/2(arc EF + arc UG)

  ∠EDF = 1/2(147° +61°) = 1/2(208°)

  ∠EDF = 104°

__

2. ∠FHG = 1/2(arc FG + arc ES)

  128° = 1/2(arc FG +55°) . . . substitute given information

  256° = arc FG +55° . . . . . . multiply by 2

  201° = arc FG . . . . . . . . . subtract 55°

__

3. For the purpose of this problem, a tangent is a special case of a secant in which both intersection points with the circle are the same point. The relation for secants still applies.

  ∠T = 1/2(arc FS -arc US)

  ∠T = 1/2(170° -50°) = 1/2(120°)

  ∠T = 60°

3 0
3 years ago
Help please
yawa3891 [41]

Answer:

C. 4.6

Step-by-step explanation:

If you subtract 3.0 from 1.4 you get 1.6, which is the can be added to 3.0 to find the missing value.

8 0
3 years ago
What is the product (3 x 10') * (2 x 10") in scientific
Mariana [72]

Answer:

600

Step-by-step explanation:

3 x 10 = 30

2 x 10 = 20

30 x 20 = 600

5 0
2 years ago
What is the value of x? Enter your answer in the box.
Mademuasel [1]

Answer:

x=55

Step-by-step explanation:

The 3 angles of a triangle add up to 180 degrees

<A + < B + <C = 180

x + 75+ 50 = 180

x + 125 = 180

subtract 125 from each side

x = 180-125

x = 55

8 0
3 years ago
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