<em><u>Option</u></em><em><u> </u></em><em><u>c</u></em>
Answer:
Since,
30×6=t
Therefore,
t/30=6
The side of the barn is made of 2 shapes, a triangle and a rectangle. Find the area of each shape, then add together to find the total area.
To find the area of the triangle, we multiply 1/2 x (triangle base x triangle height), we can find the triangle height by subtracting the height on the right by the height on the left, so 26.5-14.5 = 12.5ft.
The area of the triangle is 1/2 x (22.8x12.5) = 142.5 square ft.
The area of the rectangle is calculated by multiplying one side by the other, which is 22.8x14.5 = 330.6 square feet.
The total area of the side of the barn is 330.6 + 142.5 = 473.1 square feet.
Since we now know the area of the side of the barn, we can find the cost of paint needed. A one gallon paint can covers 350 square feet and costs $20, but we need to paint 473.1 square feet so we'll need to buy a second can. This means we can easily paint the side of the barn with 2 cans, costing $40 in paint.
Answer:
69.92°F
Step-by-step explanation:
Given:
Initial temperature ( i.e at time, t = 0) = 40°F
Temperature of the room = 70°F
Temperature after 10 minutes ( i.e at time t = 10 ) = 48°F
Now, from Newton's law of cooling
T'(t) = k(A - T(t))
T(t) temperature after time t
T'(t) = 
here, A is the room temperature
thus,
= k(70 - T)
or
= kdt
on solving the differential equation, we get
T = 
............(1)
Now from the boundary conditions,
i.e at time, t = 0; T = 40°F
we get,
40 = 
or
C = 30
and,
at time, t = 10; T = 48°F
thus,
48 = 
or
k = 
or
k = 0.03
Therefore,
for t = 25
from 1 we have
T = 
or
T = 70 - 0.0780
or
T = 69.92°F
Answer:
John had 12 more votes than Will.
Step-by-step explanation:
36 students = 36 votes
John = 2*Will
Will = 1 vote
36/3 = 12
- 1 vote = Will
- 2 vote = Johm
- 2 vote = Will
- 4 vote = John
- 3 vote = Will
- 6 vote = John
- 6 vote = Will
- 12 vote = John
- 18 vote = Will
- 36 vote = John
- 12 vote = Will
- 24 vote = John
