Paul is selling his paintings at the town square. He has 32 paintings to sell in all and needs to sell at least 17 paintings in
1 answer:
Paul should sell 3 paintings per hour to recover his cost.
Step-by-step explanation:
Total paintings = 32
Minimum amount to sale = 17
Paintings sold = 3
Paintings left = 17 - 3 = 14
Time left = 5 hours
Therefore, he needs to sell 14 paintings in 5 hours.
5 hours = 14 paintings
1 hour =
Rounding off to nearest whole number;
2.8 paintings = 3 paintings
Paul should sell 3 paintings per hour to recover his cost.
Keywords: division, subtraction
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Answer:
AB = 3.9CM ; A = 51° ; C = 39°
Step-by-step explanation:
Base BC = 4.8cm
AC = 6.2cm
Angle B = 90°
Using trigonometry, the length of AB can be obtained thus :
AB^2 = AC^2 - BC^2
AB^2 = 6.2^2 - 4.8^2
AB^2 = 38.44 - 23.04
AB^2 = 15.4
AB = sqrt(15.4)
AB = 3.92 cm
Angle A :
Using :
Sinα = opposite / hypotenus
Sinα = 4.8 / 6.2
Sinα = 0.7741935
α = sin^-1 (0.7741935)
α = 50.73
A = 51° (approximately)
Angle C ;
(A + B + C) = 180 (Sum of angles in a triangle)
51 + 90 + C = 180
141 + C = 180
C = 180 - 141
C = 39°
The surface area of the new figure is 1470 square meters, if the edge length of the smaller cube is half the edge length of the cube below and edge length of bottom cube is 14 m.
Step-by-step explanation:
The given is,
Length of Bottom (larger) cube is 14 meters
Step:1
Surface area of new figure = (Surface area of smaller cube) +
(Surface area of bottom (larger) cube)....(1)
Step:2
Surface area of Bottom(larger) cube is,
..............................................(2)
From given, a = 14 m
Equation (2) becomes,
Surface area of bottom cube, A = 1176 square meters
Step:3
Surface area of smaller (top) cube is,
....................................................(3)
From given, a = 7 m ( ∵ The edge length of the smaller cube is half the edge length of the cube below)
Equation (2) becomes,
Surface area of bottom cube, A = 294 square meters
Step:4
From equation (1),
Surface area of new figure = 1176 + 294
= 1470
Surface area of new figure = 1470 square meters
Result:
The surface area of the new figure is 1470 square meters, if the edge length of the smaller cube is half the edge length of the cube below and edge length of bottom cube is 14 m.