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:
6.5 cm
Step-by-step explanation:
Here, <em>the tangent line squared is equal to the secant line times the secant line outside the circle</em>.
That is <em>20.2² = 14.7 * (14.7 + 2x)</em> --> it is 2x because the secant goes through <em>the whole circle</em>.
Simplify: <em>408.04 = 216.09 + 29.4x</em>
Subtract: <em>191.95 = 29.4x</em>
Divide: <em>x = 6.528911565</em> ≈ 6.5 cm
8*(1/x) = 4*(1/8)
8/x = 4/8
64 = 4x
x = 16
Answer:
the slope is 4/1 because it's 4x and the y intercept is -4
Answer:
Mean and Standard deviation for the numbers of girls in groups of 36 births are 18 and 3 respectively.
Step-by-step explanation:
We are given that he X SORT method is designed to increase the likelihood that a baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.
Now consider a group consisting of 36 couples.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 36 couples
r = number of success
p = probability of success which in our question is probability
of a girl, i.e.; p = 0.5
<em><u>Let X = Numbers of girls in groups of 36 births </u></em>
So, X ~ Binom(n = 36, p = 0.5)
Now, mean for the numbers of girls in groups of 36 births is given by;
<u>Mean</u>, E(X) = 
= 
= 18
Also, standard deviation for the numbers of girls in groups of 36 births is given by;
<u>Standard deviation</u>, S.D.(X) = 
= 
= 3
