Answer:

And solving for x we got:


And taking square root we got:

Step-by-step explanation:
For this case we have the following point given 
And we want to find the value of x, since P lies on the unitray circle if we find the distance from P to the center of the unitary circle (0,0) we need to get 1. Using the definition of Euclidean distance that means:

And if we square both sides of the last equation we got:

And solving for x we got:


And taking square root we got:

Answer:
Option B: 26cm is the radius of smaller circle.
Step-by-step explanation:
Given that:
Ratio of circumferences of two circles = 2:3
We know that circumference of circle is given by 2πr.
Radius of larger circle =
= 39 cm
Radius of smaller circle = 
Now,

Putting radius of larger circle

Therefore,
The radius of smaller circle is 26cm.
Hence,
Option B: 26cm is the radius of smaller circle.
Answer:
y = -2x +20
6x - 5y = 12
Put the value of y in 2nd equation
6x - 5( -2x +20 ) = 12
6x +10x -40 = 12
16x = 12 +40
16x = 52
x = 13/4
Putting the value of x in equation 1
y = -2x +20
y = -2(13/4 ) +20
y = 27/2
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Answer:
the scale factor and the ratio of their perimeters is 8/9
Step-by-step explanation:
k^2=area 1/area 2
k^2=64/81
=square root if k^2=square root of 64/81
=<u>k</u><u>=</u><u>8</u><u>/</u><u>9</u>