Answer: 12 feet up
Step-by-step explanation:
This problem models a right triangle, in which the ladder is the hypotenuse and the distance away from the wall is one of the legs. Thus, you may use the Pythagorean Theorem (a^2 + b^2 = c^2)
![a^2+b^2=c^2\\5^2+b^2=13^2\\25+b^2=169\\b^2=144\\b=12](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2%5C%5C5%5E2%2Bb%5E2%3D13%5E2%5C%5C25%2Bb%5E2%3D169%5C%5Cb%5E2%3D144%5C%5Cb%3D12)
<u>N.B. There are some very useful sets of numbers that can help you with this unit</u>.
<u>They are called Pythagorean triplets, and they are the sets of whole numbers that make right triangles.</u> The important ones are 3, 4, 5, and 5, 12, 13 (And their multiples, like 6, 8, 10(3,4,5 *2))
Hope it helps :) and let me know if you want me to elaborate further.
9514 1404 393
Answer:
1/30
Step-by-step explanation:
The zeros of the function are ...
So, the factorization for some leading coefficient 'a' is ...
y = a(x +3)(x -2)²(x -5)
and the y-intercept is ...
y = a(3)(-2)²(-5) = -60a
The graph shows the y-intercept is -2, so we must have ...
-2 = -60a
1/30 = a
The leading coefficient is 1/30.
Answer:
62, 000
Step-by-step explanation:
Using A as the variable then B received 2A votes and C received A - 15, 000
Given the total number of votes was 109, 000, then
A + 2A + A - 15000 = 109000, that is
4A - 15000 = 109000 ( add 15000 to both sides )
4A = 124000 ( divide both sides by 4 )
A = 31000
Then B received 2 × 31000 = 62000 votes
Answer:
17/25
Step-by-step explanation:
We assume you want the sum ...
4/50 + 3/5
= (2·2)/(25·2) + (3·5)/(5·5)
= 2/25 + 15/25
= 17/25
_____
<em>Comment on the question</em>
We prefer math symbols:
4/50 + 3/5 = ??
or, if you can't manage that, proper English:
four fiftieths plus three fifths.