Answer:
r = 14.998 yd
Step-by-step explanation:
Volume of a cone
V = πr^2h/3
Given:
V = 3,532 yd cubed
π - 3.14
r = h
Since the radius and the height of the cone are equal
So, let r = h = x yd
V = 3.14 * x^2 * x/3
3532 = 3.14x^3/3
3532 = 1.047x^3
Divide both sides by 1.047
3532/1.047 = x^3
3373.45 = x^3
x = 14.998 yd
Since r = h = x
r = h = 14.998yd
r = 14.998yd
Hint: to check if the value of radius and the height are correct, insert the values into the formula
V = πr^2h/3
V = 3.14 * 14.998^2 * 14.998/3
= 3.14 * 224.940 * 4.999
= 3530.852
≈ 3531 yd cubed
Due to approximations
Answer:
8x - 8z.
Step-by-step explanation:
Let's first rearrange 6x-3y-z+2x+3y-7z where all the x's are together, all y's together, and all z's are together:
6x +2x + 3y - 3y - z - 7z.
First we combine like terms.
6x + 2x ⇒ 8x
3y - 3y ⇒ 0
z - 7z ⇒ -8z.
Since the y's result in 0, we do not include them.
Therefore, our answer is 8x - 8z.
Answer:
$15.06
Step-by-step explanation:
First you add $25.00 and $10.00 Then you multiply $9.97 by two and you would get $19.94 which you would then subtract $19.94 from $35
For question 3, the answer is f(x)=3x-4.
In question 3, if -7 is f(x), and it is 3x-4, the answer is -1; if -7 is f(x), and the answer is 4x-3, the answer is -1; if -7 is f(x), and it is 1/2x+3, answer is -20; if -7 is f(x), and it is 3x+1/2, the answer is -5/2.
But, if -4 is f(x), and it is 3x-4, the answer is 0; if -4 is f(x), and it is 4x-3, the answer is -1/4.
So f(x)=3x-4 is the answer for question 3.
For question 4, the answer is the last choice.
Like the one above 3x was the rate and -4 is the initial value.
So for this one, 2/3 is the rate and -2 is the initial value.
Answer:
each coin has a 1/3% chance of being picked
Step-by-step explanation: