Answer:
D
Step-by-step explanation:
When a polynomial f(x) is divided by (x - a) then remainder is f(a)
A
divided by (x + 4 ), then a = - 4
- 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20
B
divided by (x - 2), then a = 2
3(2)³ + 7(2)² + 5(2) + 2
= 3(8) + 7(4) + 10 + 2
= 24 + 28 + 12 = = 64 ≠ 20
C
divided by (x + 5) , then a = - 5
(- 5)³ + 5(- 5)² - 4(- 5) + 6
= - 125 + 125 + 20 + 6 = 26 ≠ 20
D
divided by (x - 2), then a = 2
3
- 5(2)³ + 5(2) + 2
= 3(16) - 5(8) + 10 + 2
= 48 - 40 + 12 = 20 ← Remainder of 20
Very simple. divide 3952 by 4, because the larger fish is 3 times the amount of the small fish, so there are 4 groups. Multiply it by 3 for the larger fish and keep it for the small fish. Then, divide the products by 13 because the quotient is the amount of money each fish costs. There you have your answer!
10.
5 multiplied by 2 "5 x 2" = 10
Assuming the shape is a piece of a circle, you can determine the ratio of the shape to a full circle. A full circle will have 360 degree but this shape is only 40 degree. Then the ratio would be: 40/360= 1/9 full circle.
Then, using the circle area formula, the area of the 1/9 circle would be:
full circle area= pi * r^2
full circle area= 22/7 * 6^2
full circle area= 792/7
1/9 full circle area= 792/7*9= 88/7 = 12.57
Answer
Formula
where r is the radius of a circle.
As shown in the image
Diameter of the circle = 16 .3 cm
= 8.15 cm
Put in the formula
As
= 51.2 cm (approx)
Therefore the circumference of a circle is 51.2cm (approx) .
Option (D) is correct .
