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antoniya [11.8K]
3 years ago
7

A 10-foot ladder is leaning against a wall. The base of the ladder is 2 feet from the base of the building. How far up the build

ing does the ladder fall?
Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0
We can see on this graph that the triangle has legs of x and 6 with a hypotenuse of 10 and we can use Pythagoreans theorem to find the unknown side.
Pythagoreans theorem: a^2+b^2=c^2, where a and b are the legs of the triangle and c, is the hypotenuse 

x^2+6^2=10^2 Plugin a=x, b=6, and c=10. Now let us solve for x 

x^2+36=100 Square each individual term 

x^2+=100+36 Subtract 36 from both sides 

x^2=64 Combine like terms 

sqrt(2)=sqrt(64) Take the square root of both sides 

x = 8 Simplify the square root 

So our answer is x = 8 
The ladder touches the 8 feet mark on the wall.
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Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule
Sergeeva-Olga [200]

Answer:

First term: 5

Fourth term: 5 1/2

Tenth term: 6 1/2

Step-by-step explanation:

Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:

A(n) = 5 + (n-1) (1/6)

First term:

A(1) = 5 + (1-1) (1/6)

A(1) = 5 + (0) (1/6)

A(1) = 5

Fourth term:

A(4) = 5 + (4-1) (1/6)

A(4) = 5 + (3) (1/6)

A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)

Tenth term:

A(10) = 5 + (10-1) (1/6)

A(10) = 5 + (9) (1/6)

A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)

5 0
3 years ago
A weighted coin has a 0.599 probability of landing on heads. What is the probability that it takes 5 flips for the first head to
natka813 [3]

Answer:

0.411^5 times 0.599

Step-by-step explanation:

0.599 chance of landing on heads.

0.411 chance of not landing on heads.

0.411 times 0.411 times 0.411 times 0.411 times 0.411 (for the 5 flips that do not land on heads) times 0.599 (for the time that it does land on heads).

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What is purpose of the underlined part of the sentence​
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I can’t see what the underlined word is
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Which wave would have the higher pitch? Question 7 options: B A
Arte-miy333 [17]
A. would have the highest pitch because the sound vibration are close together and it would also be the fastest. B is incorrect because the sound waves are very which would give it a deeper voice and it would be the slowest 

Hope this helps
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3 years ago
Tim sold half of his comic books and then bought 9 more. He now has 17 . How many did he begin with
Agata [3.3K]

Answer:

16

Step-by-step explanation:

17-9=8

8*2=16

Because had 8 but bought 9 more to where he then had 17 but if you take 8 times 2 then your answer is 16 and that's how many comic books he began with.

Hope this helps


3 0
3 years ago
Read 2 more answers
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