Answer:
534 is the mean.
Step-by-step explanation:
to calculate the mean you add all the numbers together (for example this set of numbers):
785, 585, 465, 409, 495, 465
=3204
then divide the number of numbers that you added together , (in this case 6)
3204/6
=
534
Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.
Answer:
Thus # 2 is correct (5 (y + 4))/2
Step-by-step explanation:
Simplify the following:
(5 y (y^2 - 16))/(2 y (y - 4))
(5 y (y^2 - 16))/(2 y (y - 4)) = y/y×(5 (y^2 - 16))/(2 (y - 4)) = (5 (y^2 - 16))/(2 (y - 4)):
(5 (y^2 - 16))/(2 (y - 4))
y^2 - 16 = y^2 - 4^2:
(5 (y^2 - 4^2))/(2 (y - 4))
Factor the difference of two squares. y^2 - 4^2 = (y - 4) (y + 4):
(5 (y - 4) (y + 4))/(2 (y - 4))
Cancel terms. (5 (y - 4) (y + 4))/(2 (y - 4)) = (5 (y + 4))/2:
Answer: (5 (y + 4))/2
