Answer:
A = 314 inches^2
Step-by-step explanation:
We know the diameter of the glass. We need to find the radius
d = 2r
20 = 2r
Divide each side by 2
20/2 = 2r/2
10 =r
To find the area of the glass
A = pi r^2
A = pi * 10^2
A = pi*100
A = 100 *(3.14)
= 314 in^2
Answer:
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Step-by-step explanation:
we know that
When you reflect a point across the line y= x, the x-coordinate and y-coordinate change places.
so
The rule of the reflection of a point across the line y=x is
(x,y) -----> (y,x)
we have
Points p(1,2) and q(4,3)
Applying the rule of the reflection across the line y=x
p(1,2) ------> p'(2,1)
q(4,3) -----> q'(3,4)
therefore
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Fx=2x2-x-6 Gx=x2-4
Fx÷Gx
2x2-x-6/x2-4
Simplify
2x+3 x-2/ x-2 x+2
You can cancel out x-2 since they are on both top n bottom
2x+3/x+2 answer is C
Answer:
60.65
Step-by-step explanation:
The Law of Cosines can help you figure this out. Call the given sides "a" and "b" and the given angle "C". Then the third side, "c" will satisfy the relation ...
c² = a² + b² -2ab·cos(C)
= 33² +37² -2·33·37·cos(120°) = 3679
c = √3679 ≈ 60.65476 ≈ 60.65
The length of the third side is about 60.65 units.
