Answer:
The volume of the prism is 27√3/2
Step-by-step explanation:
* Lets revise the triangular prism properties
- The triangular prism has five faces
- Two bases and three side faces
- The two bases are triangles
- The three side faces are rectangles
- The rule of its volume is Area of its base × its height
* Lets solve the problem
- The triangular prism has two bases which are equilateral triangles
- The length of each side of the triangular base is 3"
- The height of the prism is 6"
∵ The volume of the prism = area of the base × its height
∵ The base is equilateral triangle of side length 3"
- The area of any equilateral triangle is √3/4 s²
∴ The area of the base of the prism = √3/4 × (3)² = 9√3/4
∵ The length of the height of the prism is 6"
∴ The volume of the prism = 9√3/4 × 6 = 27√3/2
* The volume of the prism is 27√3/2
Since the amount if Caffeine decreases by 12% an hour, that is the same as a multiplier of 0.88 per hour.
r = ln 0.88 = -0.117833371
10 = 120 e^-0.117833371t
10/120 = e^-0.117833371t
0.8333 = 10/120
ln0.8333 = -2.48490665 so
e^-2.48490665 = e^-0.117833371t and so
-2.48490665 = -0.117833371t
-2.48490665/-0.117833371 = t
21.08830995 hrs = t
thus 21 hrs is your best answer.
When subtracting fractions, you only subtract the numerators. NEVER SUBTRACT THE DENOMINATORS. ONLY SUBTRACT THE NUMERA-
-TORS. So, subtract the numerators. 9 - 6 = 3 and the denominator is still the same. The answer is: 3/10
hope it helps!
cupcake~
<h2><u>Oblique Cylinder</u></h2>
<h3>how do you find the volume of this slanted cylinder?</h3>
<u>Given:</u>
- Height - 8 yd
- Radius - 3 yd
To find the volume of an oblique cylinder, use the formula V = πr²h where,
- V - Volume
- π - Pi (3.14 is the value)
- R - Radius
- H - Height
We can substitute the given values to the formula.
- V = πr²h
- V = (3.14)(3²)(8)
- V = (3.14)(9)(8)
- V = (3.14)(72)
- V = 226.08
<u>Answer:</u>
- The volume of the oblique cylinder is <u>226.08 cm³</u>.
Wxndy~~
Tara needs to read 81 pages by next friday.
First, divide the pages of the book by 5.
203 ÷ 5 = 40.6
Then, multiply the answer by 2.
40.6 x 2 = 81.2
Now, round down.
81 pages.