I’ve attached a photo with my work ....
Hope it helps!!
Answer:
B
Step-by-step explanation:
Using the law of sines, we can make a proportion.
But first, we'll need to solve for the unknown angle.
We add up the two known angles and subtract that by 180.
90 + 41 = 131
180 - 131 = 49
So the unknown angles is 49.
Then, we can use the law of sines.
Make the equation.
sin(90)/55 = sin(49)/x
Simplify this using a calculator and you get around 41.51 or option B.
Answer:
y = 50x + 3.5
Step-by-step explanation:
Given:
Distance already covered = 3.5 miles
100 miles covered in 2 hour
FInd;
Equation of given scenario
Computation:
Assume;
Total miles covered = y
Total number of hours = x
Speed of car = 100 / 2
Speed of car = 50 miles per hour
Total miles covered = Distance already covered + [Speed of car][Total number of hours]
y = 3.5 + [50][x]
y = 50x + 3.5
I’m pretty sure the answer would be A
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