Answer:
33.89
Step-by-step explanation:
the side lengths are the distances between the corner points of the triangle.
P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.
PQ = 6 - (-6) = 6 + 6 = 12
QR and RP are trickier.
we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.
QR :
QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97
QR = sqrt(97) ≈ 9.848857802
RP :
RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145
RP = sqrt(145) ≈ 12.04159458
the perimeter/circumference of the triangle is the sum of all 3 sides
= 12 + sqrt(97) + sqrt(145) ≈ 33.89
Answer:
D. 8
Step-by-step explanation:
We have been given that the number of days that homes stay on the market before they sell in Houston is bell-shaped with a mean equal to 56 days. Further, 95 percent of all homes are on the market between 40 and 72 days.
As per empirical rule 95% of the data on bell curve lies between 2 standard deviations of mean.
So we can set an equation as:
or
Therefore, the standard deviation for our given data is 8 and option D is the correct choice.
Answer:
Expand the polynomial using the FOIL method.
x2-5x+6
Step-by-step explanation:
happy to help.
The measure of the angle is 137 degrees
180 - 60 - 45 = 75
180 - 75 - 68 = 37
180 - 100 - 37 = 43
180 - 43 = 137
