Answer:
See explanation and attachment
Step-by-step explanation:
SOH CAH TOA is a mnemonic.
SOH means 
CAH means 
TOA means 
Given an angle and a side of a right angle triangle, you can use the appropriate ratio to find the missing side.
For instance, find x in the diagram in the attachment.
In this case the best ratio to use is TOA.



All the other ratio also follow the same pattern
NB: Your calculator in degree should give 
A ) Length = 5 - 2 x
Width = 3 - 2 x
The area of the bottom:
A = L x W = ( 5 - 2 x ) ( 3 - 2 x ) = 15 - 10 x - 6 x + 4 x² =
= 4 x² - 16 x + 15
b ) 4 x² - 16 x + 15 = 10
4 x² - 16 x + 5 = 0
x = (16 - √(256 - 80))/ 8 = ( 16 - 13.266 ) / 2
x = 0.34 in
Answer:
Radius = 5
center is (19,-1)

Step-by-step explanation:
Two points in the plane, (19,4) and (19,−6), represent the endpoints of the diameter of a circle.
Distance between the points is calculated using formula


diameter = 10
radius = diameter divide by 2
Radius = 5
midpoint is the center of the circle


(19,-1)
Equation of the circle

h,k is the center and r is the radius
h=19 and k=-1 , r=5
