In
order to solve for a nth term in an arithmetic sequence, we use the formula
written as:<span>
an = a1 + (n-1)d
where an is the nth term, a1 is the first value
in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given
values above.
<span>a3 = 20.5 and a8 = 13
</span>
an = a1 + (n-1)d
20.5 = a1 + (3-1)d
</span>an = a1 + (n-1)d
13 = a1 + (8-1)d
<span>
a1 = 23.5
d = -1.5
The 11th term is calculated as follows:
a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 =
8.5</span>
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:
180+54sqrt3
You have to use the formula that is contained within the lessons, the answer you should have before you format it like this is: 273.530743609
Answer:
The constant of variation is 3
Step-by-step explanation:
Given.


And y is directly related to x
∝ 
Here k is constant of variation

--------------(1)
Put the
and
value in equation 1.


So, the constant of variation is 3.