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Answer: Choice B</h3><h3>
x = 9*sqrt(3) and y = 18</h3>
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Explanation:
The short leg is given to be 9 units long. This side is opposite the smallest angle. The rule is that smallest side is opposite the smallest angle. The hypotenuse is twice as long as the short leg in a 30-60-90 triangle, so 2*9 = 18 is the hypotenuse.
The long leg is equal to sqrt(3) times the short leg
long leg = (short leg)*sqrt(3)
long leg = 9*sqrt(3)
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You can use the pythagorean theorem with a = 9 and c = 18 to solve for b
a^2 + b^2 = c^2
9^2 + b^2 = 18^2
81 + b^2 = 324
b^2 = 324 - 81
b^2 = 243
b = sqrt(243)
b = sqrt(81*3)
b = sqrt(81)*sqrt(3)
b = 9*sqrt(3)
It's a longer way to get the same answer as above for the length of the long leg.
Answer:m<E=tan-1(3/4.6)
Step-by-step explanation:
To find the solution to the given expression, we simply isolate the unknown variable m and perform the necessary operations. The solution is as follows.
(3/5)*(2m-10) = (2/3)*m + 10
15*[(3/5)*(2m-10) = (2/3)*m + 10]
9(2m-10) = 10m + 150
18m-90 =10m + 150
18m - 10m = 150 + 90
8m = 240
m = 240/8
m = 30
First, we multiply the whole expression to the least common denominator (LCD) which is 15. Multiplication and division were then performed accordingly. The terms containing the variable m were transposed to the left side of the equation. Mathematical operations were then applied to get the final value of m which is equal to 30.
Answer:
y = -4x + 13
Step-by-step explanation:
y = mx + b
for point (2 , 5) b = y - mx
b = 5 - ((-4) * 2) = 5 + 8 = 13
Equation: y = -4x + 13
You just subtract 783 and 366 and you get 417