Answer:
Step-by-step explanation:
In order to get to choose the song Mark needs to roll a 1 since a 2 is the smallest number already rolled.
<u>Probability of rolling a 1 is:</u>
Answer:
Distance = 8.6
M = (-13.5,27.5)
Step-by-step explanation:
Distance = ![\sqrt{(x_{2 }- x_{1 })^2 + (y_{2 }- y_{1 })^2](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%20%7D-%20x_%7B1%20%7D%29%5E2%20%2B%20%28y_%7B2%20%7D-%20y_%7B1%20%7D%29%5E2)
= ![\sqrt{(-10_ }- (-17)_{ })^2 + (30_{ }- 25_{ })^2](https://tex.z-dn.net/?f=%5Csqrt%7B%28-10_%20%7D-%20%28-17%29_%7B%20%7D%29%5E2%20%2B%20%2830_%7B%20%7D-%2025_%7B%20%7D%29%5E2)
= ![\sqrt{(-10_{ }+ 17_{ })^2 + 5^2_](https://tex.z-dn.net/?f=%5Csqrt%7B%28-10_%7B%20%7D%2B%2017_%7B%20%7D%29%5E2%20%2B%205%5E2_)
= ![\sqrt{7^2+5^2}](https://tex.z-dn.net/?f=%5Csqrt%7B7%5E2%2B5%5E2%7D)
= ![\sqrt{49+25}](https://tex.z-dn.net/?f=%5Csqrt%7B49%2B25%7D)
= ![\sqrt{74}](https://tex.z-dn.net/?f=%5Csqrt%7B74%7D)
= 8.6
Midpoint = ![(\frac{x_{2}+x_{1}}{2};\frac{y_{2}+y_{1}}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_%7B2%7D%2Bx_%7B1%7D%7D%7B2%7D%3B%5Cfrac%7By_%7B2%7D%2By_%7B1%7D%7D%7B2%7D%29)
= (-10+(-17)) ÷ 2 ; (30+25) ÷ 2
= -27 ÷2 ; 55 ÷ 2
= -13.5, 27.5
Knowing that a square gives the optimum area;
120=s²
√120=s
√2×2×2×5×3=s
2√2×3×5=s
2√30=s
Therefore, the length should be ≈10.95"
Hope I helped :)
<h3><u>To find value of x</u></h3>
<u>Formula applied:</u>
Exterior angle=Sum of interior angles
Answer:
- x=<u>1</u><u>1</u><u>1</u><u>⁰</u><u>✔</u>
<h3 />
<h3><u>To find value of z:</u></h3>
<u>Formula applied:</u>
Exterior angle=Sum of interior angles
Answer:
- z⁰=<u>76</u><u>⁰</u><u>✔</u>
<h3><u>To find value of y:</u></h3>
<u>Formula</u><u> </u><u>used:</u>
Sum of angles of a triangle =180⁰
Answer:
-24x + 24y is the answer simplified hope this helps