Answer:
B=23.19
Step-by-step explanation:
First, find the last side of the triangle using the Pythagorean theorem.
![a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%3Dc%5E%7B2%7D%20%5C%5C21%5E%7B2%7D%20%2B9%5E%7B2%7D%20%3Dc%5E%7B2%7D%20%5C%5C441%2B81%3Dc%5E%7B2%7D%20%5C%5C%5Csqrt%5B3%5D%7B58%7D%3Dc)
Then, find the missing angle, lets name it B.
The angle B can be found using the inverse sine function.
B=arcsin(opp/hyp)
![B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19](https://tex.z-dn.net/?f=B%3Darcsin%28%5Cfrac%7B9%7D%7B%5Csqrt%5B3%5D%7B58%7D%20%7D%20%29%5C%5CB%3D23.19)
Answer:
9 more games
Step-by-step explanation:
180x.45=81 wins for the red team
180x.4=72 wins for the blue team
Answer:
We conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.
Step-by-step explanation:
We know that the perimeter of a rectangle = 2(l+w)
i.e.
P = 2(l+w)
Here
Given that the length and width of the playground by a scale factor of 2
A scale factor of 2 means we need to multiply both length and width by 2.
i.e
P = 2× 2(l+w)
P' = 2 (2(l+w))
= 2P ∵ P = 2(l+w)
Therefore, we conclude that If Tawnee increases the length and width of the playground by a scale factor of 2, the perimeter of the new playground will be twice the perimeter of the original playground.
Answer:
100 is the answer
Step-by-step explanation:
Answer:
The equation of the line that is <em>perpendicular</em> to <em>y = 2x + 2</em> is
<em>y = -1/2x</em>
Step-by-step explanation:
The original equation is y = 2x + 2; it's slope is <em>2</em>
Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.
Example:
y = 2x + 2 so,
the perpendicular line's slope must be -1/2
Write a new equation with the new slope:
y = -1/2x + b
We know that this line passes through (8, -4)
Plug these coordinates in the equation to find b, the y-intercept
-4 = -1/2 (8) + b
-4 = -4 + b
0 = b
b = 0
We do not have to write y = -1/2x + 0
So, our final answer is "y = -1/2x is perpendicular to y = 2x+2"
