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Answer:
B
Step-by-step explanation:
Find the area of the circle with r = 36/2 Area1 = π r²
divide Area1 by two since the upper part of the figure is a semi-circle
then finally add and area of the rectangle Area2 = (18)(36)
Total area = Area 1 + Area 2
Answer:

Step-by-step explanation:
The smallest side of a triangle is formed by the smallest angle in the triangle.
To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle,
, where
,
, and
are the three sides of the triangle and
is the angle opposite to
.
Let
be the side opposite to the 20 degree angle.
Assign variables:
Substituting these variables, we get:

Therefore, the shortest side of this triangle is 3.5.
Answer:
D' (1, 3)
Step-by-step explanation:
When reflected across the y = x line, the "x" and "y" coordinates switch.
If D is (3, 1), then:
x = 3
y = 1
Switch the "x" and "y" values, and rewrite as (x, y).
x = 1
y = 3
D' (1, 3)
Answer:
Step-by-step explanation:
5x+14<4 or -2(x-8)<-2
-14 -14 -2x+16<-2
5x<-10 -16 -16
÷5 ÷5 -2x<-18
x<-2 ÷-2 ÷-2
x>9 (sign changes because you divide by a negative number)
x<-2 or x>9