Lets do
Simplified ratio is
What is the scale factor from Figure A to Figure B?
2 answers:
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Call the point of intersection of the diagonals point X.
Each base is the hypotenuse of an isosceles right triangle whose sides are the diagonals and whose 90° angle is at X. The altitude of that triangle (⊥ distance to the base from X) is half the length of the hypotenuse. Then the height of the trapezoid is half the sum of the base lengths.
The area of the trapezoid is the product of the height and half the sum of the base lengths, hence is the square of half the sum of the base lengths.
... Area = ((16 cm +30 cm)/2)² = (23 cm)² = 529 cm²
Answer:
<u>640 pounds </u>
Step-by-step explanation:
The rest of the question is the attached figure
So, the total volume = V(cylinder ) + V(cone)
The volume of cylinder = π r² h
The volume of cone = π r² h/3
Both of the cylinder and the cone have the same diameter = 14 inches
So, the radius = 14/2 = 7 inches
The height of the cylinder is 13 inches and the height of the cone is 9 inches.
So, The volume of cylinder = π r² h = π * 7² * 13 = 2,001.2 in³
And The volume of cone = π r² h/3 = π * 7² * 9/3 = 461.8 in³
So, the total volume = 2,001.2 + 461.8 = 2,463 in³
So, the total weight = 0.26 pounds per cubic inch times the total volume
= 0.26 * 2463 = 640.38 pounds
= <u>640 pounds (to the nearest pound)</u>
