Answer:
23.1567
Step-by-step explanation:
710000(1+1.49/100)ⁿ=1000000
710000×1.0149ⁿ=1000000
1000000÷710000=1.0149ⁿ
1.4084507=1.049ⁿ
log1.4084507=ⁿlog1.0149
log1.4084507/log1.0149=ⁿ
Answer: Reflection of the x axis.
Step-by-step explanation: This didn't rotate because the coordinates were reflected this isn't a translation because you didn't translate anything. Reflection, the coordinates are just still the same distance from the other coordinates.
Answer:
Surface Area: 1008π OR 3166.73
Volume: 4320π OR 13,571.68
Step-by-step explanation:
Surface Area Equation:
2πrh+2πr^2
Work:
2π (12) (30) + 2π12^2
2π(360) + 2π(144)
720π + 288π
1008π OR 3166.73
Volume Equation:
πr^2h
Work:
π12^2 (30)
π144 (30)
4320π OR 13,571.68
Answer:
24 years
Step-by-step explanation:
total ratio =8
older student=40 years
3/8*40 ÷ 5/8=24
Answer:
(4) 5 m
Step-by-step explanation:
You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.
<h3>Volume</h3>
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the base:
B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle
Using these formulas together, we have ...
V = 1/2(2.5 m)(2 m)x
12.5 m³ = 2.5x m²
Dividing by 2.5 m², we find x to be ...
(12.5 m³)/(2.5 m²) = x = 5 m
The dimension labeled x has length 5 meters.
