Answer:
98 ft²
Step-by-step explanation:
There are a couple of ways you can think about this one. Perhaps easiest is to treat it as a square with a triangle cut out of it. The cutout triangle has a base (across the top) of 14 ft and a height of 14 ft, so its area is ...
A = (1/2)(14 ft)(14 ft) = 98 ft²
Of course the area of the square from which it is cut is ...
A = (14 ft)² = 196 ft²
So, the net area of the two triangles shown is ...
A = (196 ft²) - (98 ft²) = 98 ft²
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Another way to work this problem is to attack it directly. Let the base of the left triangle be x. Then the base of the right triangle is 14-x, and their total area is ...
A = A1 + A2 = (1/2)(x ft)(14 ft) + (1/2)((14-x) ft)(14 ft)
We can factor out 7 ft to get ...
A = (7 ft)(x ft + (14 -x) ft)
A = (7 ft)(14 ft) = 98 ft²
Answer:
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Step-by-step explanation:
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Answer:
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b= 16 mm
Step-by-step explanation:
Pythagorean theorem is a^2 + b^2= c^2, so-
12^2 +b^2= 20^2
144+b^2=400
b^2=400-144
b^2= 256
b= 16
Answer:
Step-by-step explanation:
16^3 - 8^3
Take out 8^3 as a common factor.
16^3 = 2^3 * 8^3
8^3(2^3 - 1)
8^3(8 - 1) = 8^3 * 7
(4^3 + 2^3) Expand
64 + 8 Combine
72
72 = 9 * 8
Conclusion
(8*3 * 7 )(9*8)
7*9 = 63
So any number containing 63 will divide into the reduced form of
(16^3–8^3)(4^3 +2^3)
I SAY IT THE SECOND OPTION
