To find the scaled version of this rectangle by 1/2, start by identifying what this scale factor does to effect the numbers.
In this case, it causes each to divide by two.
Divide each value on the length and width of the rectangle by two.
This results in:
4/2
8/2
Now, perform the division to find your final answer.
This gives you 2 ft by 4 ft.
Answer choice C is the best option.
I hope this helps! :)
Answer:
thanks for the points !!! ;)
Step-by-step explanation:
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
Answer:
V=14
Step-by-step explanation:
Well its a supplementary angle if you add everything together.
We know theres a 90 degrees angle and a 34 degree angle.
90+34=124
124+4v=180
Since if you add everything up its a straight line
Solve the equation normally
56=4v
14=v
It's the relation between the arc length of a circle, and the measure of angle. Before radians, we could only measure in degrees, and use pi to convert from arc length and circumference and angle measure. But, with the introduction of radians, it's much easier to map the relation. Hope it helps!
