Answer:
x = 36.87
Step-by-step explanation:
Find the length of the missing side.
x^2 + 12^2 = 15^2
x^2 + 144 = 225
x^2 = 81
x = 9
Now use the law of sines:
sin(90)/15 = sin(x)/9
Multiply each side by 9
9 * sin(90)/15 = sin(x)
0.6 = sinx
sin^-1 = 36.86989 rounded to 36.87
Given:
The figure of a triangle DEF.
To find:
The coordinate of image of given triangle after reflection over y-axis.
Solution:
The vertices of given triangle are D(1,4), E(4,3), F(2,0).
If a figure is reflected over the y-axis, then the rule of reflection is

Using this rule, we get



Therefore, the coordinates of image are D'(-1,4), E'(-4,3) and F'(-2,0).
There are 2pi radians in circle
so
circumference times arcinradians/2pi=areclength
c=2pir
c=2pi25
c=50pi
arc in radians=7pi/5
c times arcrad/2pi=
50pi times (7pi/5)/2pi=
50pi times 7/10=
35pi
it is 35pi cm or aprox 109.95574287564276334619251841478 cm
Ninth term is 2.5
you are adding 0.5 each time
-1,-0.5,0,0.5,1,1.5,2,2.5
Answer: 2 pounds
Explanation:
One box = 1 - 5/6 = 1/6 pounds
12 boxes = 1/6 x 12 = 12/6 = 2 pounds