Answer:
- <u>Option A. about 100.5ft²</u>
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Explanation:
Since the <em>bases</em> must not be painted, their areas are <em>not included</em> in the calculation.
The <em>surface</em> to paint, of each pillar, is equal to the lateral area of a<em> cylinder </em>with he dimensions given.
The formula for the laeral area of a cylinder is:

Substitute including the conversion factor to convert inches to feet:

Answer: choice D
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Work Shown:
I'm assuming the problem is -4*(1-x) <= -12+2x where the first term is -4 and not 4
-4*(1-x) <= -12+2x
-4*(1-x) <= -12+2x
-4+4x <= -12+2x
-4+4x-2x <= -12+2x-2x
-4+2x <= -12
-4+2x+4 <= -12+4
2x <= -8
2x/2 <= -8/2
x <= -4
To graph x <= -4, you plot a closed circle at -4. Then you shade to the left of the closed circle. This matches with choice D
Answer:
The diameter of the wheel is 32 centimeters
Step-by-step explanation:
we know that
The <u><em>intersecting chords theorem</em></u> states that the products of the lengths of the line segments on each chord are equal.
so
In this problem

substitute the given values

solve for x

Remember that
LK goes through the center of the wheel
That means----> LK is a diameter

therefore
The diameter of the wheel is 32 centimeters
Answer: The rate represents a decrease in speed for each 1% grade increases.
Step-by-step explanation:
If the backpack (b) contains only textbooks (t) and notebooks (n), the total weight of the backpack is:
b+t+n
but notebooks are 4 pounds, so actually:
b+t+4
also, the backpack weights 2 pounds, so the total weight is:
2+t+4 =t+6
now, "Seventy percent of
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the total weight is textbooks. ", this means that
t=70%(t+6) - this equation can be used to determine the weight of the textbooks!
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