Answer:
a:b:c=2:5:3
Step-by-step explanation:
a:b=10:25
a:b=2:5(divided by 5)
b:c=45:27
b:c=5:3(divided by 9)
a:b:c=2:5:3
Answer:
Area of the shaded region = 23.33 in²
Step-by-step explanation:
Area of a sector = 
Where θ = Central angle subtended by an arc
r = radius of the circle
Area of the sector BCD = 
= 52.36 in²
Area of equilateral triangle BCD = 
= 
=
in²
= 43.30 in²
Area of the shaded portion in ΔBCD = 52.36 - 43.3
= 9.06 in²
Area of sector CAD = 
= 39.27 in²
Area of right triangle CAD = 
= 
=
= 25 in²
Area of the shaded part in the ΔACD = 39.27 - 25
= 14.27 in²
Area of the shaded part of the figure = 9.06 + 14.27
= 23.33 in²
Answer:
Log [x^2 / yz^2]
Step-by-step explanation:
2log(x) =log(x^2)
-log(y) = The minus sign means that you can divide it by first log(x^2)
-2log(z) =log(z^2), and the minus sign again means you can divide it by the first log(x^2)
So, the whole thing can be written like this:
Log(x^2) / [log(y)*log(z^2)], OR:
Log [x^2 / yz^2]
Differentiating both sides of

with respect to <em>x</em> yields (using the chain rule)

Solve for d<em>y</em>/d<em>x</em> :

The answer is then D.
The scale factor is 2
x = 11.5
14/7 = 2
23/x = 2
x = 11.5