Suppose GH = JK , HI = KL and <1 =

Leviafan [203]

6.375 is greater than 6.333

3 0

3 years ago

A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the

GarryVolchara [31]

The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

The wall on which the window is situated will ebt he perpendicular and

The distance between the foot of ladder and the wall will be the base

So,

Hypotenuse = H = 20 foot

Perpendicular = P = 17 feet

Base = B = ?

Using the Pythagoras theorem

$H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5$

The bottom of the ladder is 10.5 feet away from the wall

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

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8 0

3 years ago

Indicate whether the measures 4.35, 5.8, and 7.25 can me the side lengths of a triangle. If they can classify the triangle as ei

Assoli18 [71]

Answer:

Obtuse

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

14. What is the reflection image of (5, -3) across the line y = -x? (3, -5) (3, 5) (-3, 5) (-3, -5)

Nata [24]

Answer:

The reflection image of (5, -3) across the line y = -x is (3, -5).

Step-by-step explanation:

You can find the reflection equation by putting the value of x and y in the line given one by one.

5 0

3 years ago

A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled

rewona [7]

The probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is <u>.00006</u>.

Learn more about sampling distributions at

brainly.com/question/15507495

#SPJ4

8 0

1 year ago