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andreev551 [17]
3 years ago
10

A power line stretches from the top of a building to the ground. The power line is 100ft. long and the building is 50 ft. tall.

What is the horizontal distance from the end of the power line to the building?
Mathematics
1 answer:
Nutka1998 [239]3 years ago
6 0

Answer:

86.6 ft.

Step-by-step explanation:

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If John has pairs of red, orange, yellow, blue and green socks, how many can he wear them in over 5 days, repetition is allowed
iren [92.7K]

Answer:

Total ways = 5×5×5×5×5

Total ways = 5^5

Total ways = 3125

Therefore, the correct option is C) 5^5

Step-by-step explanation:

John has pairs of red, orange, yellow, blue and green socks.

Which means that John has 5 different colors pairs of socks.

We are asked to find out in how many ways can he wear them over 5 days.

1st Day:

On the first day John has 5 ways to choose from.

2nd Day:

On the second day John has 5×5 ways to choose from.

(Since repetition is allowed)

3rd Day:

On the third day John has 5×5×5 ways to choose from.

4th Day:

On the fourth day John has 5×5×5×5 ways to choose from.

5th Day:

On the fifth day John has 5×5×5×5×5 ways to choose from.

Total ways = 5×5×5×5×5

Total ways = 5^5

Total ways = 3125

Therefore, the correct option is C) 5^5

7 0
3 years ago
Find The Perimeter Of The Shaded Region <br><br> 90 ft<br> 58 ft<br> 24 ft <br> 38 ft
CaHeK987 [17]
L  = 14 - 6 = 8
w = 15 - 4 = 11

P of shaded = 2(8+9) = 2 (19) = 38

answer
last one 38ft
8 0
3 years ago
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A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 16 cm, a width of 6 cm, and a height
blondinia [14]

Answer:

<u>1,216 cm³</u>

Step-by-step explanation:

Volume (composite space figure) = Volume (pyramid) + volume (prism)

  • ⇒ [16 x 6 x 14 / 3] + [16 x 6 x 8]
  • ⇒ 96 [14/3 + 8]
  • ⇒ 96 [14/3 + 24/3]
  • ⇒ 96 x 38/3
  • ⇒ 32 x 38
  • ⇒ <u>1,216 cm³</u>
3 0
2 years ago
What is the value of x?
Nikolay [14]
Answer: 7 centimeters 

Explanation:

Let triangle ABC and triangle CDE form a bow tie such that 
     - triangle ABC is smaller than triangle CDE
     - Segment AC and segment CD are the north sides
     - Segment BC and segment CE are the bottom sides
     - AC = 6, CD = 42, CE = 36, BC = x

Since angle ACB and angle ECD are formed by intersecting segment AE and segment BD at point C, they are vertical angles. (See the attached picture) So, angle ACB and angle ECD are congruent. 

Moreover when we form our bowtie, point A is in the north side and point E is in the bottom sides and this implies that angle BAC and angle CED are alternate interior angles as shown in the attached figure. 

Since it is given in the problem that alternating interior angle are congruent, angle BAC and angle CED are congruent. 

Now, we have the following pairs of angles in triangle ABC and triangle CDE that are congruent:

- angle BAC and angle CED
- angle ACB and angle ECD

By AA Similarity theorem, when we have two pairs of congruent angles for two triangles, then the two triangles are similar. So, triangle ABC and triangle CDE are similar.

In similar triangles, the sides that are opposite to the congruent angles are proportional to each other. So, 

\frac{BC}{CD}  =  \frac{AC}{CE} &#10;&#10;&#10;    (1)

Since AC = 6, CD = 42, CE = 36, BC = x, we can substitute these values to equation (1). So, equation (1) becomes

\frac{x}{42} = \frac{6}{36}
\frac{x}{42} = \frac{1}{6}  (2)

SInce we are solving for x, we can multiply both sides of equation (2) by the denominator at the left side which is 42 so that

x = 42(1/6)
x = 7 centimeters

8 0
3 years ago
Find x value for the point that splits segment CD in half if point C is located at (-2,4) and point D is located (3,7)
ella [17]
Now, if "x" splits CD in two equal halves, that means "x" is the midpoint of CD

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3 0
3 years ago
Read 2 more answers
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