Answer:
- Area of the circle is 56.25π square feet.
Step-by-step explanation:
<u>Given that</u>:
- The circumference of a circle is 15π ft.
<u>To Find</u>:
- What is the area, in square feet?
<u>We know that</u>:
- Circumference of a circle = 2πR
- Area of a circle = πR²
Where,
<u>Finding the radius of the circle</u>:
Circumference of a circle = 15π
⟶ 2πR = 15π
⟶ 2πR = 2π × 7.5
Cancelling 2π.
⟶ R = 7.5
∴ Radius of the circle = 7.5 ft.
<u>Finding the area of the circle</u>:
⟶ Area = πR²
⟶ Area = π(7.5)²
⟶ Area = π × 7.5 × 7.5
⟶ Area = π × 56.25
⟶ Area = 56.25π
∴ Area of the circle = 56.25π ft.²
Answer:
160
Step-by-step explanation:
13² - 3² = 13 × 13 - 3 × 3 = 169 - 9 = 160
Answer:
This is a linear function because there is a common difference of 4
⇒ 2nd answer
Step-by-step explanation:
- In the linear function there is a common difference between each two
consecutive data
- In the exponential function there is a common ratio between each two
consecutive data
- Lats check the data in the data in the table
(x) === 1 ⇒ 2 ⇒ 3
f(x) === 4 ⇒ 8 ⇒ 12
∵ x has consecutive numbers 1 , 2 , 3
∵ 8 - 4 = 4
∵ 12 - 8 = 4
∴ f(x) has a common difference 4
∵ 8 ÷ 4 = 2
∵ 12 ÷ 8 = 1.5
∴ f(x) has no common ratio
∴ The table represents a linear function with common difference 4
This is a linear function because there is a common difference of 4
Answer: C
Step-by-step explanation:A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.
These fractions are not equal. This is not proportional.
x 2 3 4 5
y 7 9 11 13
These fractions are not equal. This is not proportional.
x 3 7.5 15 20
y 1 2.5 4 6
These fractions are not equal. This is not proportional.
x 3 6 8 10
y 12 15 18 20 HOPE IT HELPS:P
<h2>SO C</h2>