Answer:
about 25.13
Step-by-step explanation:
The formula of the circumference is 2pi * r
half of the diameter is r, r is the radius
8/2 = 4
2* pi*4
2*4 = 8
8*pi = ~25.13
An arrow to the left and a closed circle on -4 is:
x≤-4 or if you prefer:
x=(-oo,-4]
Remember that lateral surface area is just the total surface area minus the area of the base and top of the solid. The pyramid doesn't have a top, so you'll only be subtracting the area of the base.
Start by calculating the entire surface area S.A.. The question gives you the dimensions for the sides and the area for the base, so

b×h gives you the area of 1 side, multiply that by 3 and add the area of the base to find the entire surface area in square feet. Since there are two pyramids, just multiply this by two.
since the price of 1 square foot of foil is $0.22, multiply the total surface area of the two pyramids by 0.22 to find the cost of covering the entire pyramids. We'll call this number Price1 and set it aside for now.
to find the lateral surface area, or the surface area minus the base, just subtract the area of the base from the surface area you calculated before. This will result in the lateral surface area. Again since there are two pyramids, you multiply the result by two.
To find out how much this costs, again, just multiply the result by 0.22, we'll call this number Price2.
Now you finally find out how much money is saved by subtracting Price2 from Price1.
Price1 - Price2 = total money saved
Hope that helps.
Lets convert our quantities to decimal form first:
3/5 of a foot is 0.6 foot. Since he need five equal pieces of that length, he needs

feet to build his project.
<span>2 1/4 feet is 2.25 feet. So, he now has two pieces one of 2.25 feet long and another one of </span>

feet long.
Next, lets find if he has enough wood for his project:
From the 2.25 feet piece he can cut

; since he needs even pieces, we can discard the decimal part of the result; therefore, he can cut 3 pieces.
From the 1.75 piece he can cut

; similarly, since he needs even pieces, we can discard the decimal part of the result; therefore, he can cut 2 pieces.
From both pieces, he can cut 2+3=5 pieces.
We can conclude that
he has enough wood left to finish his project.
is the inequality that can be used to find the domain of given f(x).
Step-by-step explanation:
For a square root function given by
, to have real values, the radicand x must be positive or equal to zero. So, domain for f(x) would be,

Given:

In the given expression, under the square root, in place of ‘x’ presents as below and so

The inequality depends on the true form of the given term, so it should be,
