Answer:
arc RP = 84 degrees
Step-by-step explanation:
If the angle NPQ is 102 degrees, we can find the angle NPM:
NPM + NPQ = 180
NPM + 102 = 180
NPM = 78 degrees.
Now, with the triangle NPM, we can find the angle MNP:
60 + 78 + MNP = 180
MNP = 180 - 60 - 78 = 42 degrees
The angle MNP is inscribed in the circle, and is related to the arc RP:
arc RP = 2 * MNP
arc RP = 2 * 42 = 84 degrees
Answer:
20
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
you change the 1 hour into minute you and 60min to 25 minutes and then you subtract from 42 minutes to get the solution
Answer: hello your question is incomplete attached below is the complete question
answer :
a)
( option D )
b) A = 1/2 (6)(3) ( option B )
c) Area of shaded region = 9
Step-by-step explanation:
<u>a) Using integration with respect to x </u>
Area =
( note a = 10 )
= y^2/2 - 4y |⁷₄ + 10y - y^2/2 |¹⁰₇
= 33/2 - 12 + 30 - 51/2 = 9
hence the best integral from the options attached is option D

= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀
= 30 - 9/2 - 9/2 - 12 = 9
<u>b) Using Geometry </u>
Area = 1/2 * base * height
= 1/2 * 6 * 3
= 9
Answer:
Second puck travels farther
Step-by-step explanation:
Maximum height of first puck = 3 feet
The height of a second hockey puck is modeled by:


To find maximum height of second puck

Equate the derivative equals to 0
0.15-0.002x=0

75 = x
At x = 75

So, The maximum height of second puck is greater than first puck
So, Second puck travels farther