Answer:
8+15+32+45= 100 minutes, or an hour and 40 minutes
3/4 (x+8)=9
3/4x+6=9
-6
3/4x=3
X=4
Check
3/4(4+8)=9
3/4 (12)=9
9=9
Answer:
The lateral surface is 120 
, which agrees with the third answer option of the list.
Step-by-step explanation:
Notice that the prism has 5 equal lateral faces, which are all rectangles of eight 6". The width of the prisms can be obtained by using the fact that the perimeter of the pentagon is 20", which gives a side length of 20/5 = 4 " which is the same as the with of the lateral rectangles.
Then the lateral area of the prism is:
Lateral area= 5 (6" x 4") = 5 (24) = 120
Answer:
Step-by-step explanation:
1 in: 30 km
4.3 inches * 30km= 129 km
Since every inch is the same as 30 km.
Second problem
20 test: 163 mins
8.15 mins per test
44*8.15= 358.6 mins round to the nearest whole is 359 mins
Answer:
π/4 radians
Step-by-step explanation:
The arc length formula is s = rФ, where Ф is the central angle (in radians).
Here, r = 8 inches and s = arc length = 2π inches. We need to find the central angle, Ф. The formula given above is s = rФ, or, equivalently,
Ф = s/r.
Here, the central angle is Ф = s/r = 2π/8, or π/4 radians.
