Hello from MrBillDoesMath!
Answer:
-1/16
Discussion:
Rewrite
((1/4 + 1/x)/(4+x)) as
(1/4 + 1/x) * (1/(4+x)) = => put num. over common denom,
( (x+4)/4x) * (1/(4+x)) = => cancel (x+4) from num. and denom.
(1/4x)
So as x ->-4, (1/4x) approaches ( 1/ ( 4 * (-4) ) ) = -1/16
Thank you,
MrB
Answer:
20480
Step-by-step explanation:
4hr = 12 doubles
5 * 2 ^ 12 = 20480
Depends.
A. -12 - -6 = -6
but
B. -6 - -12 = 6
Two negatives always cancel, so the equation for A. would be like saying
-12+6, and B. -6+12.
Answer:
C
Step-by-step explanation:
∠ TUL + ∠ LUV = ∠ TUV , substitute values
x + 16 + 11x = 172 , that is
12x + 16 = 172 ( subtract 16 from both sides )
12x = 156 ( divide both sides by 12 )
x = 13 → C
Answer:
The shadow length is 125 inches.
Step-by-step explanation:
The triangle that the sun's rays and the fence post form is shown in the figure.
From trigonometry we know that is the ratio of the opposite <em>(72-in fence)</em> to the adjacent side of the triangle <em>(the shadow length): </em>
<em /><em />
since
<em /><em />
we have
<em /><em />
solving for we get:
Hence, the length of the shadow to the nearest inch is 125 inches.