Answer:
Step-by-step explanation:
R=4x+3
H=3x+6
Volume of a cylinder= Πr²h
inserting the parameters
v=π(4x+3)²(3x+6)
v=π(16x²+24x+9)(3x+6)
V=π[3x(16x²+24x+9) +6(16x²+24x+9)]
v=Π(48x³+72x²+27x+96x²+144x+54)
v=π(48x³+168x²+171x+54)m³
Answer: 37.5%
Step-by-step explanation:
Percentage = Given Quantity/Total Quantity*100
So here, it will be like: 45/120*100
=0.375*100
=37.5%
Answer:
A true
Step-by-step explanation:
Rectangles have parallel sides and 90 degree angles.
Squares have parallel sides and 90 degree angles and equal length sides
Square are a subset of rectangles
All squares are rectangles
Answer: Time taken by him in going = 8 hours
Time taken by him in returning = 9 hours
Step-by-step explanation:
Let the total distance from home to New York is x miles,
Also, he drove his car from his home to New York at the rate of 45 mph,
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And, returned over the same road at the rate of 40 mph.
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According to the question,
Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )
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Hence, the total distance from home to New York = x miles = 360 miles
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The area of the trapezoid is the product of the height and the average of the two bases:
<span>30 (25 + 33)/2 = 30 (58)/2 = 30 (29) = 870 square yd. </span>
<span>But we want to exclude the area of the fountain. </span>
<span>Since it's circular its area is π times the square of its radius, or 16π square yd. </span>
<span>So the area of the park, excluding the fountain, is </span>
<span>870 - 16π square yd, </span>
<span>or about 820 square yd.</span>
