Answer:
50.24 yd^2
Step-by-step explanation:
The area of a circle can be found using:
First, we need to find the radius. We have the diameter. The diameter is twice the radius, or
d=2r
We know that the diameter is 8, so we can substitute 8 in for d
8=2r
Since we are trying to find r, we need to get r by itself. To do this, divide both sides by 2.
8/2=2r/2
4=r
Now we know the radius, and can substitute 4 in for r. Also, we can substitute 3.14 in for pi.
a=3.14*4^2
Solve the exponent
a=3.14*16
Multiply
a=50.24
The area is 50.24 yards^2
We are given order pairs : (2, 6), (3, 21), (4, 42), (5, 69)
The correct option is D) f(x) = 3x^2 - 6.
If we plug x=2 we get
f(2) = 3(2)^2 - 6 = 3(4) -6 = 12-6 =6. Represents (2,6)
If we plug x=3 we get
f(3) = 3(3)^2 - 6 = 3(9) -6 = 27-6 =21 Represents (4,21)
If we plug x=4 we get
f(4) = 3(4)^2 - 6 = 3(16) -6 = 48-6 =42. Represents (4,42)
If we plug x=5 we get
f(5) = 3(5)^2 - 6 = 3(25) -6 = 75-6 =69. Represents (5,69)
Therefore, D ) f(x) = 3x^2 - 6 is our correct option.
First point to be noted here is, the shelf and the book are 5 inches wide. So it is perfect to hold the book.
The shelf is 56 inches tall and the book is 4 inches thick. To find the number of books Linda can arrange on the shelf, just divide 56 by 4
Number of books Linda can arrange on the shelf = 56 ÷ 4 = 14 books
4.3 repeating
Hope this helps.
