First you have to find the angle B (check attachment)

Then you can find the last angle inside the triangle, which I'll call C

Now you can find angle A

Answer: p - 0.2p
Step-by-step explanation:
Given the following :
Original Price of tennis racket = p
Mark down or discount on original price = 20% of original price = (20/100) × p = 0.2p
Amount after discount = Amount paid by Natasha
Amount after discount = Original price - Discount
Amount after discount = p - 0.2p
Amount paid by Natasha = p - 0.2p
Answer:
f(3) = 4
f(-7) = -26
Step-by-step explanation:
Hi there!

To find f(3), replace every x with 3:

Therefore, f(3)=4.

To find f(-7), replace every x with -7:

Therefore, f(-7)=-26.
I hope this helps!
a. Use the mean value theorem. 16 falls between 12 and 20, so

(Don't forget your units - 5 m/min^2)
b.
gives the Johanna's velocity at time
. The magnitude of her velocity, or speed, is
. Integrating this would tell us the total distance she has traveled whilst jogging.
The Riemann sum approximates the integral as

If you're not sure how this is derived: we're given 5 sample points, so we can cut the interval [0, 40] into 4 subintervals. The lengths of each subinterval are 12, 8, 4, and 16 (the distances between each sample point), and the height of the rectangle approximating the area under the plot of
is determined by the value of
at each sample point, 200, 240, |-220| = 220, and 150.
c. Bob's velocity is given by
, so his acceleration is given by
. We have

and at
his acceleration is
m/min^2.
d. Bob's average velocity over [0, 10] is given by the difference quotient,
m/min
Six dozen cupcakes is 72. So in this case Kailyn made 88 cupcakes, but that was 72 more than Melissa made so Melissa only made 16.