Answer:
113.04 feet²
Step-by-step explanation:
Use the circle area formula, A = 
r²
Sine the diameter is 12 feet, the radius is 6 feet
Plug in 6 as r into the formula, and 3.14 as pi, then solve:
A = r²
A = (3.14)(6²)
A = (3.14)(36)
A = 113.04
So, the area of the circle is approximately 113.04 feet²
Answer:
Step-by-step explanation:
I think the one you want is the last one, but I've never called it that.
21x^2 + 147x + x^3 + 343
x^3 + 343 is a cubic binomial. It factors into (x + 7) (x^2 - 7x + 49)
21x(x + 7) + (x + 7)(x^2 - 7x + 49)
(x + 7) [ 21x - 7x + x^2 + 49)
(x + 7) [x^2 + 14x + 49]
(x + 7) ( x+7)^2
(x + 7)^3
It's the only answer that does factor. There must be a simpler way of doing it, but this will give you the right answer.
Calculation:
(Length) (width) (height)
(2w+4) (w) (18-w) = 1152
(2w^2+4w) (18-w) = 1152
Distributive property:
36w^2 -2w^3+72w-4w^2 =1152
Remember to use FOIL method:
-2w^3 +32w^2+72w-1152 =0
Like terms:
-2(w^3-16w^2-36w+576) = 0
Factor it by 2:
w^3 -16w^2-36w+576 =0
Simplify:
w^2(w-16)-36(w-16) =0
(w^2-36) (w-16) = 0
w= -6,6,16
Width:
w = 6,16
Since width is 16, then the height should be less than the width (18-16=2)
Length of gift bag: 2(6)+4
=16 inches.
Width of the bag: 6
Height of the bag: 18-6
12 inches.
Answer: 16, 6 and 12 inches.
Answer:
Yes it is proportional
Step-by-step explanation:
If an equation like this one has a constant rate of change then it is. that means that if the ratio always stays the same and never changes, it will be proportional.
Answer:
Below.
Step-by-step explanation:
A linear function contains a variable of the first degree only - for example f(x) = 2x - 1 or f(z) = 3z.
So y = x + 5 is linear.
