In a rectangular prism, surface area is calculated by multiply all the faces of the prism that you can touch
Becuase there's four faces that have the measurement of 5*3, you do 4(5*3) and because there's only two faces that have the measurement of 3*3, you do 2(3*3)
Which becomes 4(5*3)+2(3*3) which is 78
D. 1/4
Explanation:
a perfect square is written in the form
(1)
In our problem, we have this perfect square:
(2)
with C being unknown. However, by comparing (1) and (2), we know that

So, we find

and therefore, the missing term must be

so the complete square is

Answer:
The height is 5ft
Step-by-step explanation:
We know the area is 30ft^2 and the base is 12 ft.
Plug that information in the formula for the area of a triangle,
Formula for area of a triangle:
A = (1/2)bh (area is one half of the product of the base and height)
The question gives us A = 30, and b = 12. We can plug them in and find h
30 = (1/2)(12)h
Now solve for h
30 = 6h (1/2)(12) means '12 times one half' or 'half of 12' which is 6
5 = h (30 divided by 6 is equal to 5)
Step-by-step explanation:
The height of the swipe card is given by :
.....(1)
We need to find the maximum height of the swipe card and the time to reach the maximum height.
For maximum height, put dh/dt = 0
So,

It will take 1.67 seconds to reach the maximum height.
Now, put t = 1.67 s in equation (1).

Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.
Answer:
18
Step-by-step explanation:
To find the second term of the coefficient, multiply out the left hand side of the equation.

The value of b is 18.