Answer:
The surface area of the green prism is 6.25 times greater than the surface area of the blue prism.
Step-by-step explanation:
The surface area of both prisms consists of six rectangles: top, base, front, back, left side and right side. In terms of surface area, top=base, front=back and left side=right side, so the total surface area for each prism is:
2(base area)+2(back area)+2(side area)
=2((base area)+(back area)+(side area))
Area of blue prism = 2((base area)+(back area)+(side area))
=2((4*2)+(4*10)+(2*10))
=2(8+40+20)
=2(68)
=136 cm²
Area of green prism = 2((base area)+(back area)+(side area))
=2((10*5)+(25*10)+(25*5))
=2(50+250+125)
=2(425)
=850 cm²
850cm² is 6.25 times greater than 136cm² <em>(850/136=6.25)</em>, so therefore, the surface area of the green prism is 6.25 times greater than the surface area of the blue prism.
Answer:
46
Step-by-step explanation:
To breakeven, the total cost of the company which is the sum of the fixed and variable cost will be equal to the total sales of the company such that the profit/loss is zero.
Let x be the number of screwdriver that must be produced daily to break even
Then
68 + 1 * x = 2.5 * x
68 + x = 2.5x
collect like terms
68 = 2.5x - x
1.5x = 68
Divide both sides by 1.5
x = 68/1.5
= 45.33
This would be approximated to 46 screws
Congruent triangles are all the same. Given that the faces of a triangular pyramid are congruent then all its faces are the same. It is also good to note that this pyramid has 4 faces. Given that the surface area of the pyramid is 372m^2, the area of one face will be:
area=(total area)/(number of faces)
=372/4
=93 m^2
Answer: 0.7272 minutes = 43.632 sec
Step-by-step explanation:
Cary could run 5½ miles in 4 minutes,
How minutes would it take her to complete 1 mile?
5½miles = 11/2 miles = 5.5 miles.
5.5 miles = 4 minutes
1 miles = x minute
x = (1 * 4) / 5.5
X = 0.7272 minutes = 43.632 seconds
Cary used 43.632 seconds to complete 1 mile
Answer:
In 1981, the Australian humpback whale population was 350
Po = Initial population = 350
rate of increase = 14% annually
P(t) = Po*(1.14)^t
P(t) = 350*(1.14)^t
Where
t = number of years that have passed since 1981
Year 2000
2000 - 1981 = 19 years
P(19) = 350*(1.14)^19
P(19) = 350*12.055
P(19) = 4219.49
P(19) ≈ 4219
Year 2018
2018 - 1981 = 37 years
P(37) = 350*(1.14)^37
P(37) = 350*127.4909
P(37) = 44621.84
P(37) ≈ 44622
There would be about 44622 humpback whales in the year 2018
