Answer:

Step-by-step explanation:
The fraction 5/8 is equivalent to 15/24:

Subtracting:

Reducing:

Answer:
Step-by-step explanation:
<u><em>(1).</em></u> (x - <em>h</em>)² + (y - <em>k</em>)² = <em>r</em>²
where <em>(h, k)</em> are coordinates of a center of the circle with radius <em>r</em>
<u><em>(2).</em></u> ( a ± b )² = a² ± 2ab + b²
~~~~~~~~~~~~~~
( 1 , - 2 ) ; r = 3
( x - 1 )² + ( y + 2 )² = 3²
x² - 2x + 1 + y² + 4y + 4 = 9
x² + y² - 2x + 4y - 4 = 0
a = - 2
b = 4
c = - 4
Lets work backwards. π r2 = 62 cm. 62 / 3.14 = 17.75. Square root of 17.75 = 4.21. Okay, now using the radius of 4.21 we will use the formula C = 2 πr. C = 2 (3.14)(4.21) = 2 (13.22) = 26.44. So the circumference of each button is approximately 26.44 cm.
Answer:

Step-by-step explanation:
Given:
We took here a Right Angle Triangle,Δ ABC at angle B as 90°
Side opposite to angle A = a
Side opposite to angle B = b = Hypotenuse
Side opposite to angle C = c
To Find:
Sin A = ?
Solution:
Property of a Sine rule for a Right Angle Triangle.

∴ 
The given triangle has vertices

After a dilation with a scale factor of

about the origin , the image triangle will have vertices
See attachment for graph