Answer:
the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse.
Step-by-step explanation:
(side note: your formula C = 2πr^2 is incorrect, it should be C = 2πr)
Answer:
r = 9
Step-by-step explanation:
First let's find the circumference of Circle A. To use the formula we need radius. Since we have a diameter just divide by 2 to get radius. 27 / 2 = 13.5
Now plug that into C = 2πr: 2π*(13.5) = 27π
The question says that the area of circle B is 3x this value, so Circle B's area must be: 27π * 3 = 81π
Now plug that into A = πr^2 and solve for r:

(edited to correct a brain fart)
7) So when x=6 then z=72, they are directly proportional, so if I multiply the first with a number, then I have to multiply the second with the same number.
6 becomes 13 (x) /multiplied with about 2.167/
72 becomes 156(y) /multiplied with about 2.167/
8) Inversely proportional, so if I multiply the first with a number, then I have to divide the second with the same number.
6 becomes 13 (x)
2 becomes ~0.92307(y) /round it to the thousandths place and you get 0.923/
Given:
The graph of a rectangle.
The given rectangle is dilated from the origin by a scale factor of 3.
To find:
The vertices of the image of the rectangle after the dilation.
Solution:
From the given graph it is clear that the vertices of the rectangle are A(0,2), B(0,4), C(3,4) and D(3,2).
If a figure is dilated from the origin by a scale factor of 3, then

Using this rule, the vertices of the image are:


Similarly,


And,


And,


The vertices of the image after dilation are (0,6), (0,12), (9,12), (9,6).
Therefore, the correct options are B and F.
Answer:
C
Step-by-step explanation: