Answer:
The volume of the cone is:
- <u>112.6 cubic inches.</u>
Step-by-step explanation:
You should know that the volume of a straight circular cone is equal to:
- Cone volume = (1/3) PI * r ^ 2 * h
Where:
<em>r = radius.
</em>
<em>h = height.
</em>
Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:
- Circumference = PI * Diameter.
When clearing you get:
- Diameter = circumference / PI
By replacing the data you get:
- Diameter = 15 inches / PI
- Diameter = 4.77 inches.
Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:
- Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in
- Cone volume = 112.581541 in^3
- <u>Cone volume = 112.6 in^3</u>
The computation shows that Tamika can move 3 boxes for every box that Hassan moves.
<h3>How to illustrate the information?</h3>
From the information, it was stated that Hassan can move 4 boxes for every 12 boxes that Tamika moves.
Therefore, the number of boxes that Tamika can move for every box that Hassan moves will be:
= 12/4
= 3
Therefore, Tamika can move 3 boxes for every box that Hassan moves.
Learn more about computations on:
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So:
(x-4)(x+2) / (x-4)(x+4)
We cancel out the x - 4:
(x+2)/(x+4)
Restrictions: x ≠ 4, x ≠ -4
Step-by-step explanation:
The angle where the shadow ends is
![\tan(x) = \frac{48}{60} \\ x = 38.66](https://tex.z-dn.net/?f=%20%5Ctan%28x%29%20%20%3D%20%20%5Cfrac%7B48%7D%7B60%7D%20%20%5C%5C%20x%20%3D%2038.66)
The distance from the tree to the angle of end shadow equal (60-20)=40ft
So the tall of tree is
![\tan(38.66) = \frac{x}{40} \\ x = 40 \times \tan(38.66) \\ x = 32ft](https://tex.z-dn.net/?f=%20%5Ctan%2838.66%29%20%20%3D%20%20%5Cfrac%7Bx%7D%7B40%7D%20%20%5C%5C%20x%20%3D%2040%20%5Ctimes%20%20%5Ctan%2838.66%29%20%20%5C%5C%20x%20%3D%2032ft)
Answer:
Step-by-step explanation:
Take the beginning number and add or subtract each transaction to get a new balance. For example,
349.45
- 23.42 = 326.03
- 14.95 = 311.08
+ 276.50 = 587.58
- 219.93 = 367.65
- 76.84 = 290.81