We will have to use proportions:
Cross multiplying we get
Now divide:
Solve to tenths place we get
The woman casts a 36.6 ft long shadow.
Whats the topic that you want me to tell about
Answer:
the slope is = -1
Step-by-step explanation:
<h3>Answers:</h3><h3>x = 1 or x = 16</h3>
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Work Shown:
Draw out a rectangle that is 32 units wide horizontally and 8 units tall vertically.
Then draw out another rectangle that is 4 meters wide horizontally and x meters tall vertically.
The horizontal and vertical sides pair up to form these fractions: 32/4 and 8/x
Set the fractions equal to one another. Solve for x
32/4 = 8/x
32x = 8*4 ... cross multiply
32x = 32
x = 32/32 ... divide both sides by 32
x = 1
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Somewhere else on your paper, draw the same 32 by 8 rectangle to make 32 the horizontal component
Next to this rectangle, draw a rectangle that has x as the horizontal part and 4 as the vertical. Note the swap here.
We now have this equation to solve for
32/x = 8/4
once again, note the swap
Let's solve for x
32/x = 8/4
32*4 = 8*x
128 = 8x
8x = 128
x = 128/8
x = 16
Answer:
531 in²
Step-by-step explanation:
5 faces of the cube are facing the surface because the top one is shared with the triangular prism.
Surface area of a cube is S = 5 × (9)²
S = 405 in²
Now the triangular prism: S = (1/2)lP + B, where l is slant height and p is the perimeter of the base. (ignore B base area because this is also not facing the surface/shared with the cube).
S = (1/2)7×(4×9)
S = 126 in²
Add 126 + 405 to get 531 in²
