Answer:
D
Step-by-step explanation:
Since ABC is collinear and angle 3 is a right angle, adding 1&2 together should equal 3, which comes out to being equal to line ABC
4%
To find the percentage, first find the area of both circles. The area formula is
. After finding the area of the center of the target (19.625) and the area of the large target (490.625), set up a percent proportion to determine the percentage that the center takes up:
Cross multiplying and dividing by 490.625 will give a total of 4%.
Since you are given the area, we can solve for radius with this equation:
The radius is 11, so the diameter must be 2 times that, which is 22. With the correct units, the answer is
22 units²
The area of a parallelogram is length x height.
The answer would be C. A = 12 • 8
9514 1404 393
Answer:
a) average rate = (total distance)/(total time)
b) Rave = 2·R1·R2/(R1 +R2)
c) cheetah's average rate ≈ 50.91 mph
Step-by-step explanation:
a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...
First leg distance: AB = 70·t1 ⇒ t1 = AB/70
Second leg distance: AB = 40·t2 ⇒ t2 = AB/40
The average rate is the ratio of total distance to total time:
average rate = (AB +AB)/(t1 +t2)
average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)
average rate = 560/11 = 50 10/11 . . . mph
__
No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.
b) For two rates over the same distance (as above), the average is their harmonic mean:
average rate = 2r1·r2/(r1+r2)
__
c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.