Answer:
first one:
Area of a circle = π*r²
diameter (they gave) = 30ft
radius = diameter/2 = 15ft
π*15²= 706.85834705770347865409476123789
to nearest tenth= 706.9 ft
second question:
circumference = 2*π*r or d(diameter)*π
diameter = 30ft
30*π = circumference = 94.247779607693797153879301498385
in terms of π = 30π
Answer:
60 and
x=4
Step-by-step explanation:
Answer:
Third step is incorrect. The correct factored form is (x-1)(2x-5).
Step-by-step explanation:
The given expression is

We need to find the factored form of this expression.
Step 1: Given

Step 2: Splitting the middle term method, the middle term can be written as (-5x-2x).


Step 3: Taking out common factors from each parenthesis.

Step 4: Taking out common factors.

Therefore, the third step is incorrect. The correct factored form is (x-1)(2x-5).
The standard equation for the circle is:
(x-h)^2+(y-k)^2=r^2, where (h,k) is the center of the circle and r is the radius.
We are given that the center is (5,1) and r=10 so
(x-5)^2+(y-1)^2=100
Work:
A 12-pack of boxes is 4 3-pack of boxes, I found this by dividing 12 by 3.
A 24-pack of boxes is 2 12-pack of boxes, found by dividing 24 by 12.
A 24-pack of boxes is 8 3-pack of boxes, found by dividing 24 by 3 or by multiplying the two previous together (sometimes may not work)
Multiply
$1.09 × 4
That gets you to $4.36, which is less than the price of a 12-pack of boxes.
Then, multiply
$4.39 × 2
That gets you $8.78, which is less than a 24-pack of boxes.
Finally, multiply
$1.09 × 8
That gets you $8.72, which is less than a 24-pack of boxes.
Answer:
The best to buy is the 3-pack of boxes of juice, because it is cheaper when buying multiple of the 3-packs than it is to buy one or more of the 12-pack or 24-pack.
Hope this helps anyone with the question.