D/2=r
12/2=6
a=pir^2
a=pi6^2
a=36pi
a=113.04
3rd option again
Answer:
Cathy bought a bicycle in Washington, where the sales tax rate was 6.5% of the purchase price. What was (a) the sales tax and (b) the total cost of a bicycle if the purchase price of the bicycle was $392?
Answer:
4
Step-by-step explanation:
The relation defined by f includes (4, 5). Then the inverse relation will include (5, 4).
Answer:
Step-by-step explanation:
you need the formula (y-y1) = m(x-x1) that uses a slope and a point
m=(y1-y2)/(x2-x1)= 6-1/6+6=5/12
now pic any poit out of the 2 given ones
Answer:
(y-6) =(5/12)(x-6)
same for all the other
Although the question is not given,I can infere that you need to know the value of x, that is the widht of the frame.
Note that the dimensions of the rectangle covered by the frame are:
8 + 2x and 7 + 2x, meaning that the area covered by the whole figure is:
(8 + 2x) * (7 + 2x).
While the area of the picture is 8 in * 7 in = 56 in^2.
Then, you can state that the area of just the frame meets this equation:
area of the frame = area of the whole figure - area of the picture
34 = (8+2x)(7+2x) - 56
Now solve the equation, starting by expanding the product of the two parenthesis:
8*7 + 16x + 14x + 4x^2 - 56 = 34
4x^2 + 30x + 56 - 56 - 34 = 0
4x^2 + 30x - 34 = 0
Divide by 2 => 2x^2 + 15x - 17 = 0
Factor: (2x - 2)(x + 17/2) = 0
=> 2x - 2 = 0 => x = 1, and x + 17/2 = 0 => x = - 17/2.
Only x = 1 has a real physical meaning so, the solution is x = 1, which is the width of the frame.
Answer: the widht of the frame is 1 inch.
You can check: (8 + 2) (7 + 2) = (10)(9) = 90 = area of picture + the frame.
90 - 56 = 34 which is the area of the frame.
