Given data is that circles are identical. According to this diameters are identical too.
Diameter of the first circle is 4x and for the second 2x+3.
We can make equality 4x = 2x+3 => 2x=3 => x=3/2
Circumference of each circle is C= 2r pi = 2*(3/2) pi = 3 pi
The correct is fifth answer.
Good luck!
Answer:
See below
Step-by-step explanation:
When you have 2 sides and the angle between them you use the cosine theorem or law of cosines:
After you have a side and the opposed angle (side b and angle B), you use the law of sines:
I will calculate angle A first:
![[tex]\frac{27.5}{sin36} =\frac{41}{sinA} \\sinA =\frac{41}{27.5} sin36 \\sin A = 0.876 \\A = 61.2\°](https://tex.z-dn.net/?f=%5Btex%5D%5Cfrac%7B27.5%7D%7Bsin36%7D%20%3D%5Cfrac%7B41%7D%7BsinA%7D%20%5C%5CsinA%20%3D%5Cfrac%7B41%7D%7B27.5%7D%20sin36%20%5C%5Csin%20A%20%3D%200.876%20%5C%5CA%20%3D%2061.2%5C%C2%B0)
[/tex]
Same for angle C:
The sum of the angles is 36° + 61.2° + 25.3° = 122.5°; The sum must be 180° so this isnt a triangle.
I re did the problem using B as 63° instead of 36° in case you wrote it wrong and I got a satisfactory answer.
using B = 36:
b = 36.6
angle A = 86.4°
angle C = 29.1°
A+B+C = 86.4° + 29.1° + 63° = 178.5° ~ 180°
Answer:
Step-by-step explanation:
y= -5/8x-7
To write in standard form get all the terms to one side
y+5/8x+7=0
I hope this is correct
Pls don't be mad if it is wrong
Answer:
Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees. So the number of sides is 360/72 = 5.
X = kp/y-c
cross multiply
xy-xc = kp
factor out the x
x(y-c) = kp
divide entire equation by x
y-c = kp/x
isolate y since we are solving for y
we do this by adding c to both sides which ultimately gives us the answer
y = kp/x + c
