Answer:

Step-by-step explanation:
The volume of cone is given by:

where
is the radius of the base and
is the height of the cone.
We need to solve for 
we have 
Multiplying both sides by 3 to remove 
⇒ 
⇒ 
dividing both sides by 
⇒ 
⇒ 
Taking square root both sides:
⇒ 
⇒ 
∴ 
The price of the tablet before the discount is $ 2667
<h3><u>Solution:</u></h3>
Given that Marina paid $2,000 for a tablet PC after receiving a 25 percent discount
To find: The price of the tablet before the discount
Let "a" be the price of the tablet before the discount or original price
After receiving a 25 percent discount means 25 percent discount in original price
Discount = 25 % of original price
Discount = 25 % of "a"

Now we can say that,
<em>price of tablet after discount = price of the tablet before the discount - discount</em>
2000 = a - 0.25a
0.75a = 2000
a = 2666.67 ≈ 2667
Thus the price of the tablet before the discount is $ 2667
Answer:
4.4 inches
Step-by-step explanation:
Here, we are interested in calculating the value of x.
Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.
This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.
3.7 is half the length of the chord i.e 7.4/2
Thus;
using Pythagoras’ theorem
x^2 = 2.4^2 + 3.7^2
Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.
Thus;
x^2 =5.76 + 13.69
x^2 = 19.45
x = √(19.45)
x = 4.41 inches which is 4.4 inches to the nearest tenth
Answer:
The shadow is 11 Ft. away from the pole base.
Step-by-step explanation:
I just usually do this trick in situations like these where if <em>x</em> equals 1, and <em>y</em> equals 2, then <em>z </em>is gonna be 3. 2 goes after 1, and 3 goes after 2. This trick can work in other counting-up situations like this, as long as the number go up, and are right next to each other.
Answer:
0.75 cups of ice cream
x bowls
t is the total number of cups of ice cream
.75x = t
example"
If you have 5 bowls.
.75 (cups of ice cream) * 5 (bowls) = 3.75 cups of ice cream needed
Step-by-step explanation: