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monitta
3 years ago
7

Bob needs to wash the windows on his house. He has a 25-foot ladder and places the base of the ladder 10 feet from the wall on t

he house. How far up the wall will the ladder reach?
Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

Answer:

22.9 ft

Step-by-step explanation:

the height of the wall that reached by the ladder = √ (25²-10²)

=√(625-100)

=√525

= 22.9 ft

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Complete the equation of the line through ( 4 , -8 ) and ( 8 , 5 )
irinina [24]

Answer:

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( 4 ,-8)

point B( x₂ , y₂) ≡ (8 , 5)

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-8))=(\frac{5-(8)}{8-4})\times (x-4)\\ \\(y+8)=\frac{13}{4}(x-4)\\\\4(y+8)=13(x-4)\\4y+32=13x-52\\13x-4y=84...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is

13x - 4y = 84.

4 0
3 years ago
What is the total number of digits required in numbering a book that has 1724 pages?
Reptile [31]

Answer:

5,789

Step-by-step explanation:

I got 5,789 because there are 9 one digit numbers. 1-9 -> 9x1=9. There are 90 two digit numbers. (10-99)-> 90x2=180. There are 900 three digit numbers. (100-999)-> 900x3=2700. There are 725 four digit numbers. (1000-1724)-> 724x4= 2900. Then, I added 9+180+2700+2900=5789.

In conclusion, the total number of digits required in numbering a book that has 1724 pages is 5789.

8 0
3 years ago
The students at George's school recently raised money to help the victims of the hurricane in Puerto Rico. George's sixth grade
Nikitich [7]

Answer:

the answer would be 1060

Step-by-step explanation:

all you have to do is multiply 260 by four and then you have your answer

5 0
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True or false a function can not have a repeat values in the range
SVETLANKA909090 [29]

Answer:

False. false false false false

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3 years ago
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Serggg [28]
5.2 is irrational cause the .222 keeps going
7 0
3 years ago
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