Answer:
1) 32
2) 8 yards
Step-by-step explanation:
1. We must first subtract the base area of the pyramid from the total surface area to get the lateral surface area:
The lateral surface area is 4 times the area of one the congruent triangles.
Therefore the height of the slant surface is 32 yards
2) The surface area of a cone is , where l is the slant height.
We substitute the surface area S.A=151.58 and to obtain:
l=8.06
To the nearest whole number, the slant height is 8 yards
Using translation concepts, the method that Howard could have used to determine the coordinates of the vertices of the image is:
(x,y) -> (-x,y).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
A reflection over the y-axis can be described according to the following rule:
(x,y) -> (-x,y).
Hence this rule can be applied to find the vertices.
More can be learned about translation concepts at brainly.com/question/4521517
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B=7h-2
When h=14 b=96
a=(1/2)b*h
Therefor a=(96*14)/2
a=672cm^2
We will see that in step 6 the distributive property was used, so the correct option is B.
<h3>
Which property supports statement 6?</h3>
The distributive property says that:
A*(B + C) = A*B + A*C
In step 5 we have the equation:
3*(x + 7) = 84
And in step 6, we have:
3x + 21 = 84 (Where remember that 21 = 3*7)
Then we can see that in step 6 the distributive property was used, so the correct option is B.
If you want to learn more about properties:
brainly.com/question/4077386
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