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andrew11 [14]
3 years ago
11

A rectangle has vertices P(-7, -5) , Q(-7, 8), R(3, 8), and S(3, -5). What is the length, in units, of RS¯¯¯¯¯¯¯? 3 units

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0
21 !; =47 she’d go gsmj. Fav
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Step 3a: Calculating the average rate
Alex73 [517]

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.

4 0
3 years ago
PLS HELP WITH QUESTION 5. I’m being timed
mixas84 [53]
X = 5

AE and congruent to EC
6 0
2 years ago
Plz help me with this. Thank you!
Tresset [83]

Answer:

58 units

Step-by-step explanation:

7 \times 10 = 70

6 \times 2 = 12

70 - 12 = 58

4 0
3 years ago
Booker owes 85 video games. He has 3 shelves to put the games on. Each shelf can hold 40 games. How many more video games Does h
Illusion [34]
Simple: 3 shelves times 40 games = 120 games, 120-85= 35. So the answer is 35 games.
5 0
3 years ago
A water balloon shaped like a sphere is filled with water. The water balloon has a diameter of 3 inches. Which measurement is cl
melisa1 [442]

Answer:

Option A. 14.13 cu. in

The volume of the water balloon is 14.13 in³

Step-by-step explanation:

First we calculate the radius

r = 3in / 2

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 1.5in

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (1.5in)³

V = 4.187 * 3.375 in³

V = 14.13 in³

The volume of the water balloon is 14.13 in³

8 0
3 years ago
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