Answer:
82.96
Step-by-step explanation:
area of box:
A = L^2 = (14 in.)^2 = 196 in.^2
area of pizza:
A = (pi)r^2 = 3.14 * (6 in.)^2 = 113.04 in.^2
Empty area:
196 in.^2 - 113.04 in.^2 = 82.96 in.^2
Answer:
13
Step-by-step explanation:
1710/125 = 13.68
You need
125 x 13 = 1710
A student could take 13 credits.
Answer:
a) AB = 17 m
b) AC = 20.8 m
Step-by-step explanation:
Pythagorean theorem
a^2 + b^2 = c^2
a)
AB^2 = (26-11)^2 + 8^2
AB^2 = 15^2 + 8^2
AB^2 = 225 + 64
AB^2 = 289
AB = 17 m
b)
AC^2 = AB^2 + BC^2
AC^2 = 17^2 + 12^2
AC^2 =289 + 144
AC^2 = 433
AC = 20.8 m
Answer:
The total area of the two rooms is 188.25 square feet
Step-by-step explanation:
Given:
Area of the kitchen = 132 square feet.
Dimension of the Laundry room = 8 1/3 feet by 6 3/4 feet.
To Find:
The total area of the two rooms = ?
Solution:
Area of the two rooms = Area of the kitchen + Area of the laundry room
Area of the two rooms = 132 + Area of the laundry room
Area of the laundry room =
Area of the laundry room =
Area of the laundry = 
Area of the two rooms = 
Area of the two rooms = 132 + 56.25
Area of the two rooms = 188.25 square feet
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = a
H = 4
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formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
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answer is:
S = 22*a + 56 (equation 2)
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to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
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since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = 15
H = 4
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equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
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surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
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