Answer:
It will take 39.27 gallons to repaint the barn.
Step-by-step explanation:
The image of the setup is obtained from online and attached to this solution.
The rectangular prism is a cuboid of
Length = 84 ft
Breadth = 38 ft
Height = 20 ft
And the triangular prism on top of the rectangular prism has a vertical height of 12 ft.
The surface area of the composite structure that is available for painting include the 4 sides of the top triangular prism and the four sides of rectangular prism
Two of the faces of the triangular prism are triangles with base of 38 ft and height of 12 ft.
The other two faces of the triangular prism are rectangles with length 84 ft and breadth of the hypoteneuse of the right angled triangle on top.
B² = 12² + 19²
B = 22.47 ft
Total Surface area of the faces of the rectangular prism is then
2×(84×20) + 2×(38×20) = 4880 ft²
Total surface area of the faces of the triangular prism is then
2×(0.5×12×38) + 2×(84×22.47) = 4,230.96 ft²
Total surface area = 4880 + 4230.96 = 9110.96 ft²
1 gallon of paint = 232 ft²
x gallons of paint = 9110.96 ft²
x = (1×9110.96/232) = 39.27 gallons.
Hope this Helps!!!
Answer:
The unknown sides are 60.81cm and 51.57cm while the unknown angle is 58degrees
Step-by-step explanation:
4a) Given the following
Opposite side = 38cm (side facing the given angle)
Required
Adjacent and hypotenuse side
According to SOH CAH TOA
Next is to get the adjacent
Next is to get the missing
Since sum of angle in the triangle is 180degrees
32 + 90 + x = 180
122 + x = 180
x = 180 - 122
x = 58degrees
You're going to set up a proportion. % over 100 = is over of. You're looking for the percent so that's your x. X over 100=7 over 25. Cross multiply to get 25x=700. Divide both sides by 25 and your answer is 28%
The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.
Step-by-step explanation:
Given,
Distance covered by Kurt's car = 23 miles per gallon of gasoline
Kurt fills up tank of his car with g gallons.
Number of gallons in car's tank = g gallons
Distance covered by g gallons = D = Distance covered by one gallon * Number of gallons
D = 23*g
D = 23g
The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.
Keywords: distance, multiplication
Learn more about multiplication at:
#LearnwithBrainly
<span>78</span><span>(16)</span><span>=<span><span>(<span>78</span>)</span><span>(<span>161</span>)</span></span></span><span>=<span><span><span>(7)</span><span>(16)</span></span><span><span>(8)</span><span>(1)</span></span></span></span><span>=<span>1128</span></span><span>=14</span>
