Answer:
Step-by-step explanation:
27 ÷ 90 = 0.3 = 0.30 = 30%
Answer:
5/2 or 2½ or 2.5
Step-by-step explanation:
20/8 = 2.5
10/4 = 2.5
A) The length of the longer leg is x-1
b) Based on the area, the other leg is 2*30/(x -1). Based on the Pythagorean theorem, the other leg is √(x^2 -(x -1)^2).
c) Equating the two expressions for the shorter leg, we have
.. 60/(x -1) = √(2x -1)
.. 3600/(x -1)^2 = (2x -1)
.. (2x -1)(x^2 -2x +1) = 3600
.. 2x^3 -5x^2 +4x -3601 = 0
d) There is one positive real root, at x=13. A graphical solution works well.
The three sides of the triangle are 5 in, 12 in, 13 in.
_____
5-12-13 is a well-known Pythagorean triple. It is the next smallest one after 3-4-5.
Base Surface Area = 2π×22 = 25.132741228718 feet2
Lateral Surface Area = 2π×2×15 = 188.49555921539 feet2
Total Surface Area = 213.62830044411 feet2
(Figure A)
Base Surface Area = 2π×52 = 157.07963267949 feet2
Lateral Surface Area = 2π×5×17 = 534.07075111026 feet2
Total Surface Area = 691.15038378975 feet2
(Figure B)
Base Surface Area = 2π×82 = 402.12385965949 feet2
Lateral Surface Area = 2π×8×22 = 1105.8406140636 feet2
Total Surface Area = 1507.9644737231 feet2
(Figure C)
That depends on how much of your calculated grade depends on course work vs final exams. A final exam can be worth 50% of your final grade, it all depends