Pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2
<span>All three sides of triangle X'Y'Z' must be parallel to the corresponding sides in triangle XYZ and the corresponding angles are congruent .
The dilated triangle will be similar to the original triangle, which means all angles will be the same.
</span><span>The sides of the two triangles will also be parallel. You can test this by observing the slopes:
Line XY has a slope of 2/3, moving from -4,2 and passing through -1,4.
Line X'Y' has the same slope, moving from (-6,3) to (-3,5)
You can see that this is the case for all corresponding sides' slopes. </span>
Answer:
Not enough info
Step-by-step explanation:
Find the length from the school to the community center (this is the shortest route).
2^2+7^2 = c^2
c = sqrt(53)
The amount of time the trip takes depends on how long it takes Miguel to walk one city block.
sqrt(53)*lengthOfTimeForOneCityBlockInMinutes = the minimum time.
Answer:
x • (x^3 - 3x^2y + 3xy^2 + 7y^3)
Step-by-step explanation:
(8x • (y^3)) + x • (x - y)^3
2^3xy^3 + x • (x - y)^3
Evaluate : (x-y)^3 = x^3-3x^2y+3xy^2-y^3
Pull out like factors :
x^4 - 3x^3y + 3x^2y^2 + 7xy^3 =
x • (x^3 - 3x^2y + 3xy^2 + 7y^3)
x^3 - 3x^2y + 3xy^2 + 7y^3 is not a perfect cube
Answer:
30%
Step-by-step explanation:
100% - 2/5 - 30% = 100% - 40% - 30% = 30%
Callie scored 30% of her team's points.
