Answer:
Part 1) The exact value of the arc length is 
Part 2) The approximate value of the arc length is 
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference of a circle is equal to

we have

substitute


step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion

step 3
Find the approximate value of the arc length
To find the approximate value, assume

substitute

#1 B
#2 D
#3 A
See attached photo for step by step solutions :)
Answer:

Step-by-step explanation:
The rule for the translation is given as

The coordinates of F are (2,2).
We substitute these coordinates into the translation rule to find the coordinates of F'.


I think the answer is 9.375 if it needs to be in decimal form. If it needs to be in fraction form it would be improper, 9 3/8 would be the fraction. Hope it helps!
Answer:
141
Step-by-step explanation:
Area of a trapezium =
(a + b)
h = height
a and b = upper and and lower lengths
Area of a trapezium =
(10 + 16)
=
× 26
= 117
Area of a triangle =
× base × height
=
× 6 × 8
=
× 48
= 24
Total area = Sum of the areas of both the shapes
= 117 + 24
= 141