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geniusboy [140]
3 years ago
10

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

bottom of the ladder? Round to the nearest tenth of a foot.
Mathematics
1 answer:
GarryVolchara [31]3 years ago
8 0

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:

  • brainly.com/question/9532142
  • brainly.com/question/9590016

#LearnwithBrainly

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9:15:36

Now we can divide by 3 because 15 isn't divisible by 2.
we get:
3:5:12

This ration cannot be simplified further.
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3 years ago
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The table shows the amount of milk that Wisconsin dairy farms produced from 1942 to
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Answer:

From the given table, it can be seen, that the amount of milk that Winconsin diary farms produced in 1972 is 7 billion pounds and that the amount of milk that Winconsin diary farms produced in 1997 is 8 billion pounds.

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3 years ago
In a psychology class, 32 students have a mean score of 93.2 on a test. Then 16 more students take the test and their mean score
liraira [26]

Answer:  83.3

Step-by-step explanation:

Formula :

\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}                   (1)

\Rightarrow\ \text{Sum of all observations}=\text{Mean x (Number of observations)}           (2)

Given : In a psychology class, 32 students have a mean score of 93.2 on a test.

By Using (2) , Sum of scores of 32 students = 93.2 x 32 =2982.4   (3)

Then 16 have a mean score of 63.4.

Again, By Using (2) , Sum of scores of 16 students = 63.4 x 16 =1014.4   (4)

Total students = 32+16 = 48

Add (3) and (4) , we get combined score of 48 students = 2982.4+ 1014.4

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Now , by using (2) , the  mean score of all of these students together

=\dfrac{3996.8}{48}=83.2666666667\approx83.3

Hence, the mean score of all of these students together is 83.3.

4 0
3 years ago
What is the midpoint of AB with A(-1, 5) and B(6, -3) A (-4, 3.5) B (1, 2.5) C (2.5, 1) D (3.5, -4)
Alina [70]

Answer:

Option C (2.5, 1) is the right alternative.

Step-by-step explanation:

The given points are:

A = (-1, 5) = (x₁, y₁)

B = (6, -3) = (x₂, y₂)

Now,

The midpoint on X-axis is:

= \frac{x_1+x_2}{2}

= \frac{-1+6}{2}

= \frac{5}{2}

= 2.5

The midpoint on Y-axis is:

= \frac{y_1+y_2}{2}

= \frac{5+(-3)}{2}

= \frac{5-3}{2}

= \frac{2}{2}

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4 0
3 years ago
In parallelogram RSWY, find m
Oksanka [162]

Answer:

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Step-by-step explanation:

opposite sides of parallelograms are equal so you can set 2x+30 equal to 5x-90

when you do this:

2x+30=5x-90

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120=3x

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40=x

now you can plug 40 in for 5x-90

example:

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m<r=110

<r and <s are supplementary because they are consecutive angles

supplementary is when two angles add up to 180

since <r is 110, do 180-110 and get 70

m<s = 70

5 0
3 years ago
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