Answer:
a) The maximum amount of water the aquarium can hold is 1728 in³.
b) The cover has to be 624 in² big.
Step-by-step explanation:
a) The maximum volume of water that the aquarium can have is the same as the volume of the aquarium:
V=L×W×H=18 in × 8 in × 12 in= 1728 in³
b) The protective covering is used on the four walls of the aquarium. We have to find the areas of the four walls:
One of them is given by the multiplication of the width and the height:
A₁= W×H= 8 in × 12 in=96 in²
The other area is given by the multiplication of the length and the height:
A₂= L×H= 18 in × 12 in= 216 in²
As the fish aquarium is rectangular the area of the walls is given by:
=2×96 in²+2×216 in²=624 in²
Answer:
Find the GCD (or HCF) of numerator and denominator. GCD of 6 and 1 is 1.
6 ÷ 11 ÷ 1.
Reduced fraction: 61. Therefore, 6/1 simplified to lowest terms is 6/1.
Answer:
t_a = 7 s
t_w = 5 s
Step-by-step explanation:
Given:
- The average speed in air v_a = 16 m/s
- The average speed in water v_w = 3 m/s
- The total distance D = 127 m
- The total time T = 12 s
Find:
How long did the stone fall in air and how long did it fall in the water?
Solution:
- Lets time taken by stone to drop through air as t_a = t_a.
- The time taken in water would be t_w = (12 - t_a)
- The total distance covered can be calculated as:
D = v_a*t_a+ v_w*(12 - t_a)
127 = 16*t_a + 3*(12 - t_a)
Simplify and solve for t:
91 = 16*t_a - 3t_a
13*t_a = 91
t_a = 7 s
t_w = 5 s
Answer:
$11040
Step-by-step explanation:
first of all the question says that $4000 were earned in a year and asks for what the new vale would be after the next 3 years with a discount rate of 8%.
If 1 year=$4000,then 3 years=$12000
100%-8%=92% (this happens because there is still a remaining amount that still has a cost to it),so 12000*92%=$11040
Do a proportion
60/100= x/54
Cross multiply and divide
54 x 60= 3,240
3,240 divided by 100 is 32.4
Now subtract
54- 32.4= 21.6
Answer is $21.6
