Remark
Average Speed = Total distance divided by total time.
Total Time
2 hours + 3 hours = 5 hours. The total time is 5 hours.
Total Distance
d = rate * time
d1 = 40 km/hour * 2 hours = 80 km
d2 = 50 km/hour * 3 hours = 150 km
d = d1 + d2
d = 80 + 150 = 230 km
Average Speed
Av = Total distance / Total Time = 230 / 5 = 46 km/hr
Answer:
(4, 1)
Step-by-step explanation:
3x+4y=16 /*4
-4x-3y= - 19 /*3
12x + 16y = 64
<u>- 12x - 9y = - 57 </u>
7y = 7
y = 1
3x+4y=16
3x + 4*1 = 16
3x = 16 - 4
3x = 12
x = 4
Answer:
d ≈ 10.5
Step-by-step explanation:
The formula for the diagonal of a retangular prism (cuboid) is

1.) Plug in all the values for l, w, and h

2.) simplify by squaring the terms inside the square root
5 * 5 = 25
6 * 6 = 36
7 * 7 = 49

3.) Add the terms

4.) Simplify

5.) Round to one decimal place
d ≈ 10.5
The events in E^c would be:

The complement of an event is everything that is NOT in it, so we choose all of the values from the sample space that are not in E.
Answer:
12.4 cm
Step-by-step explanation:
Use the sphere volume formula, V = 
r³
Plug in the volume and solve for r, the radius:
V = 
r³
7961 = 
r³
1900.55 = r³
12.39 = r
So, the radius of the sphere is approximately 12.4 cm