Answer:
Volume of the frustum = 225.0952
Surface area = 274
Step-by-step explanation:
The volume can be calculated as the difference of the complete pyramid and the tip of the pyramid.
To find the height of the frustum, we can use pythagoras theorem in the following triangle:
first side: 9 - 5 = 4
second side h (height)
hypotenusa: slang = 6
6^2 = h^2 + 4^2
h^2 = 36 - 16 = 20
h = 4.4721
To find the height of the complete pyramid (H), we can use the following rule of three:
H / 9 = (H - 4.4721) / 5
5H = 9H - 40.2489
4H = 40.2489
H = 10.0622
Volume of complete pyramid:
V_complete = (1/3)*9^2*10.0622 = 271.6794
Volume of the tip:
V_tip = (1/3)*5^2*(10.0622 - 4.4721) = 46.5842
Volume of the frustum:
V_frustum = V_complete - V_tip = 225.0952
The surface area is the bigger base area + smaller base area + four side areas.
Bigger base area = 9^2 = 81
Smaller base area = 5^2 = 25
Side area = (9+5)*6/2 = 42
Total surface area: 81 + 25 + 4*42 = 274
<u><em>Answer</em></u><em>:</em>
A is the answer!
<u><em>Step-by-step explanation</em></u><em>:</em>
Trust me, I'm taking this test and got the answer wrong. But! At least I got the answer revealed for ya T-T)
Answer: 0.8
Step-by-step explanation:
Let's assume that 5 puzzles were solved in 5mins. That is, 1min for each puzzle to be solved.
From our assumption, our sample size will be 5.
The probability that a subject will solve more than 1 puzzle will be number of occurrence from 2 to 5 which is 4.
This gives: 4/5 = 0.8 to one decimal place.
It's the same angle which is 68
<h2>
Answer:</h2>
First, we must determine <u><em>b</em></u> using <u><em>slope-intercept form*</em></u>, the given point, and the given slope.
Second, we need to set up the equation of the line in slope-intercept form.
Third, we convert the above equation to <em>STANDARD FORM**</em>.
We now have our equation: 
*Slope-intercept form: <em>y = mx + b</em>
**Standard form: <em>ax + by = c</em>
