Answer:
7 cm
Step-by-step explanation:
The formula for finding the area of a square is A = a^2 (where a is the side length).
So let's substitute the given values in.
49 = a^2
a = sqrt(49)
a = 7 cm <--- This is our answer
Hope this helps!
Answer:
2
Step-by-step explanation:
slope of line= ![\frac{y1 - y2}{x1 - x2}](https://tex.z-dn.net/?f=%20%5Cfrac%7By1%20-%20y2%7D%7Bx1%20-%20x2%7D%20)
slope of JK
![= \frac{3 - ( - 9)}{5 - ( - 1)} \\ = \frac{3 + 9}{5 + 1} \\ = \frac{12}{6} \\ = 2](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B3%20-%20%28%20-%209%29%7D%7B5%20-%20%28%20-%201%29%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B3%20%2B%209%7D%7B5%20%2B%201%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B12%7D%7B6%7D%20%20%5C%5C%20%20%3D%202)
Answer and Step-by-step explanation:
90ft = a
55ft = b
50ft = c
Plug into equation.
![50^{2} = 90^{2} + 55^{2} - 2(90)(55)cosC\\\\2500 = 11125 - 9900(cosC)\\\\-8625 = -9900(cosC)\\\\0.8712 = cosC\\\\cos^{-1} (0.8712) = C\\\\29.4](https://tex.z-dn.net/?f=50%5E%7B2%7D%20%20%3D%2090%5E%7B2%7D%20%20%2B%2055%5E%7B2%7D%20%20-%202%2890%29%2855%29cosC%5C%5C%5C%5C2500%20%3D%2011125%20-%209900%28cosC%29%5C%5C%5C%5C-8625%20%3D%20-9900%28cosC%29%5C%5C%5C%5C0.8712%20%3D%20cosC%5C%5C%5C%5Ccos%5E%7B-1%7D%20%280.8712%29%20%3D%20C%5C%5C%5C%5C29.4)
29.4° is the answer.
Multiply the numerators: 7×8=56 then the denominators 10×21=210. The lowest multiples for 56 and 210 is 14. So divide 56/14=4 and 210/14=15. Your answer is 4/15.
Hope this helps (:
Answer:
2^3 * 3
Step-by-step explanation:
Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23
<em>To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.</em>
This is much easier to do than it sounds like in this explanation.
Start with 24.
24/2 = 12
12/2 = 6
6/2 = 3 3 is not divisible by 2, so we move on to 3.
3/3 = 1 We got to 1, so we are done.
The prime factorization is the product of all the prime numbers we divided by which are in bold.
24 = 2 * 2 * 2 * 3
Now we index it:
24 = 2^3 * 3