Answer:
see explanation
Step-by-step explanation:
Let c represent the number of children, then
number of men = 4c and number of women = 2c
Sum the numbers of each and equate to 266
4c + 2c + c = 266, that is
7c = 266 ( divide both sides by 7 )
c = 38
Thus
4 × 38 = 152 and 2 × 38 = 76
The group consists of 38 children, 152 men and 76 women
a. Dilation of 2nd equation by a factor of 12
b. The systems have the same solution, as dilations do not affect overall coordinates, changing side lengths but not angles
Area of a circle is PI x r^2
The radius of the large circle is shown as 8 m
The diameter of A is the radius of the large circle which is 8 m so the radius would be 4 m
The radius of the small circle would be 2m
Area of large circle = pi x 8^2 = 64pi = 200.96 square m
Area of middle circle = pi x 4^2 = 16pi = 50.24 square m.
Area of small circle = pi x 2^2 = 4pi = 12.56 square m.
The area of the shaded region = large - middle + small
Area = 64pi - 16pi + 4pi = p2pi square m or 200.96 -50.24 + 12.56 = 163.28 square m.
9514 1404 393
Answer:
f(0) = 12 . . . only
Step-by-step explanation:
We don't know your intended meaning of "fo)". If it is supposed to be f(0), that is the value of the function at x=0, in other words, the y-intercept.
The graph of f(x) crosses the y-axis at y=12, so ...
f(0) = 12
458= 339+34h
Subtract 339 from both sides
119=34h
Divide both sides by 34
3.5=h
Final answer: 3 and a half hours
