Answer:
D) 4
Step-by-step explanation:
−9 + 12 + (unknown) + −8 = −1
<em>Start by going through and testing each option</em>
−9 + 12 + 2 + −8 =
3 + 2 + −8 =
5 + −8 =
−3
−3 ≠ −1
<em>A) 2 is not possible.</em>
−9 + 12 + −2 + −8 =
3 + −2 + −8 =
1 + −8 =
−7
−7 ≠ −1
<em>B) </em>−<em>2 is not possible.</em>
−9 + 12 + −4 + −8 =
3 + −4 + −8 =
−1 + −8 =
−9
−9 ≠ −1
<em>C) </em>−4<em> is not possible.</em>
<em>From this, D is looking like the answer. But to be sure, test it.</em>
−9 + 12 + 4 + −8 =
3 + 4 + −8 =
7 + −8 =
−1
−1 = −1
<em>D) 4 is the answer.</em>
Answer:
16
Step-by-step explanation:
Lowest common denominator for 3,4,6 is 12
5/6 = 10/12
1/4 = 3/12
2/3 = 8/12
a)
10/12 + 3/12 = 13/12 = 1 1/12
So you need to use first and second cables
b)
3/12 + 8/12 = 11/12
To reach 1 yard Carl need 1/12 yard cable
Hi there!
In order to solve, we'll need to use a proportion: 20/a = 21/20. Then, we'll cross-multiply and solve to find a: 21a = 400 | a = 19.05. Next, to find b, we can just use pythagorean theorem: 20^2 + (400/21)^2 = b^2 | b = 27.62.
We are using geometric mean to solve for a, then using pythagorean theorem to solve for b. If you need more help with geometric mean, or would like a complete explanation, please let me know! I'd be happy to provide you with that information.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
