Answer:
If the prism is trapezoid then you need to find the height and use this formula
1/2 x a+b x h
This has been done below you only need to fill in the height and do the shape for 3cm x 2cm as you haven't been clear in your question.
Volume = 8 x h x 10 = 80 x h cm^3
Hope this helps.
Step-by-step explanation:
Slope triangle prism and or rectangle
The area can be seen either by finding height of the triangle or working out the rectangle and halving the rectangle.
Step-by-step explanation:
Volume
6 x 8 = 48cm^2
48 x 5 = 230cm^2 for double (rectangle prism of 6 x8)
385/2 = 115cm^2 triangle slope prism
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Area first
trapezoid front measures 6,5, 10
1/2 x 6 + 5 x h
=1/2 x 6 + 5 x h
= 8 x h x 10= 80 x h
Volume = 8 x h x 10 = 80 x h cm^3
Answer:
The equation of the boundary of the region is (x+2)² + (y-1)² = 25
Step-by-step explanation:
The satellite is positioned at (-2,1) and can sense the presence within 5 miles of its position.
The boundary of the region is a circle with center (-2,1) and radius 5.
The equation of the circle with center (h,k) and radius r is given by
(x-h)²+(y-k)²=r²
The equation of the circle with center (-2,1) and radius 5 is given by
(x+2)²+(y-1)²=5²=25
(x+2)² + (y-1)² = 25 is the required equation of the boundary of the region.
Problem 1
Answer: Direct variation; k = 1/4
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Explanation:
We can rewrite the given equation y = x/4 into y = (1/4)x. Then note how it's in the form y = kx. In this case, k = 1/4. In decimal form, this is k = 0.25
All direct variation equations are in the form y = kx. The value of k is the constant of variation.
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Problem 2
Answer: Inverse variation; k = 9
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Explanation:
The equation 9/y = x rearranges to xy = 9.
We can then solve for y to get y = 9/x
This is in the form y = k/x, where k = 9
All inverse variation equations are in the form y = k/x, with k as the constant of variation.
Answer:
B
Step-by-step explanation:
CORRECT 100%!!!!!!!!!!!!!!!