Answer: C . 147π / 4 mi²
Concept:
The sector is the part of a circle is enclosed by two radii of a circle and their intercepted arc.
A = (θ / 360) πr²
θ = angle of the sector
π = constant
r = radius
Solve:
<u>Given variable</u>
θ = 270°
r = 7 mi
<u>Given formula</u>
A = (θ / 360) πr²
<u>Substitute values into the formula</u>
A = (270 / 360) π (7)²
<u>Simplify exponents</u>
A = (270 / 360) π 49
<u>Simplify by multiplication</u>
A = (147 / 4) π
A = 147π / 4
Hope this helps!! :)
Please let me know if you have any questions
Answer:
3 is the answer
Step-by-step explanation:
5.........4............3..............2...............1
so 3 follows 4
Answer:
or 
Step-by-step explanation:
You need to complete the square before you can take the square root of both sides.

Subtract 10 from both sides.

To complete the square, you need to add the square of half of the x-term coefficient to both sides.
The x-term coefficient is 7. Half of that is 7/2. Square it to get 49/4. Now we add 49/4 to both sides of the equation.



Now we use the square root property, if
, then



or
or 
or 
Answer:
4(a). C= 3 + 1.5x
b. 'x' stands for the number of times the cup is refilled.
c. 3 + 1.5 (5)= $10.50
d. My answer to part (c) makes sense because the price of the cup is $3, and I have to pay $1.50 for each additional refill, in accordance to the formula I wrote.
Step-by-step explanation:
The original price of the cup is 3 dollars, but with each refill you get, you have to pay $1.50.