Answer:
30 degrees.
Step-by-step explanation:
The ladder that extends from the floor to the storeroom makes a right triangle. The ramp is the hypotenuse measuring 10 m and the elevation of the storeroom is the opposite side. The angle of elevation is the arcsin of the quotient of the 5/10. Thus, the answer is 30 degrees.
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Answer:
<h3>18</h3>
Step-by-step explanation:
From the given diagram;
FGH = 49
GH = 31
Using the expression to get FG;
FG + GH = FGH
FG + 31 = 49
FG = 49-31
FG = 18
Hence the measure of FG is 18
Answer:
(13 x + 6) (x - 2)
Step-by-step explanation:
Factor the following:
13 x^2 - 20 x - 12
Factor the quadratic 13 x^2 - 20 x - 12. The coefficient of x^2 is 13 and the constant term is -12. The product of 13 and -12 is -156. The factors of -156 which sum to -20 are 6 and -26. So 13 x^2 - 20 x - 12 = 13 x^2 - 26 x + 6 x - 12 = x (13 x + 6) - 2 (13 x + 6):
x (13 x + 6) - 2 (13 x + 6)
Factor 13 x + 6 from x (13 x + 6) - 2 (13 x + 6):
Answer: (13 x + 6) (x - 2)
Answer:
(a^2+ax-y) (a^2+ax+y^2)
Step-by-step explanation:
a^4+2xa³+a²x²-y^4
(a^2+ax)^2-y^4
(a^2+ax-y) (a^2+ax+y^2)
V...volume
B...Base
h...height
V=1/3 × B × h
V=1/3 ×r^2×pi × h
V=1/3 ×12^2×pi × 8
V= 1/3 ×144×pi ×8
V=1/3 × 1152pi
V=384pi cm^3
