Answer:
x^2 - 64
Step-by-step explanation:
A difference of squares is a special product in the form (a^2 - b^2)..their factored form is (a - b)(a + b)..
Thus here a = x and b = 8, thus if x + 8 is a factor, then x - 8 is also a factor..
(x + 8)(x - 8) <-- expand this out using difference of squares rules..
= (x)^2 - (8)^2
= x^2 - 64 <-- answer...
You could also expand that using FOIL (FOIL - first, outer, inner, last)..
(x + 8)(x - 8)
= (x)(x) + (x)(-8) + (8)(x) + (8)(-8)
= x^2 - 8x + 8x - 64 <-- the -8x and 8x cancels out..leaving you with..
= x^2 - 64
Answer:
14ft
First get the cones volume formula v=(3.14*r^2*h)/3
Second find the radius which is 1/2 the diameter.
Third plug in given and solve 366= (3.14*5^2*h)/3
366*3=3*(3.14*25*h)/3
1098=78.5h
1098/78.5=78.5h/78.5
13.987=h
Answer:
x = 15.4
Step-by-step explanation:
Reference angle = 33°
Opposite side reference angle = 10
Adjacent side = x
Therefore, we would apply the trigonometric function, TOA.
Thus:
Tan 33° = Opposite/Adjacent
Tan 33° = 10/x
Multiply both sides by x
x*Tan 33° = 10
Divide both sides by Tan 33°
x = 10/Tan 33°
x = 15.3986496
x = 15.4 (nearest tenth)
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