The answer to your question is option b
The answer is 769.3 cm²
The volume of the cylinder is : V = π r² h
<span>The ratio between the radius of the base and the height of the cylinder is 2:3:
r/h = 2/3
h = 3/2r
V = 1617 cm
</span>π = 3.14
1617 = πr² * 3/2 r
1617 = πr³ * 3/2
1617 * 2/3 = πr³
1078 = πr³
r³ = 1078/π = 1078/3.14 = 343
r = ∛343 = 7 cm
h = 3/2r = 3/2 * 7 = 10.5 cm
The surface area of the cylinder is:
SA = 2πr² + 2πrh
= 2 * 3.14 * 7² + 2 * 3.14 * 7 * 10.5
= 307.72 + 461.58
= 769.3 cm²
Answer: angle 1 = 110 degrees
This is because angle 1 and the red 110 degree angle are corresponding angles.
They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)
Corresponding angles are congruent only when we have parallel lines like this.
Answer:
The student's GPA is 2.8666.
Step-by-step explanation:
A grade is 4.0, B grade is 3.0, C grade is 2.0. For each credit, add the value of the letter grade. So:
Math, 2 credits, grade A: (4x2=8)
English, 5 credits, grade B: (5x3=15)
Physics, 4 credits, grade B: (4x3=12)
German, 4 credits, grade C: (4x2=8)
The numbers add up to 43, then divide by the number of credits (15) to get:
43/15=GPA of 2.8666.
Answer: 1 pound per $2
Step-by-step explanation:
Imagine this problem as a ratio:
Pounds : Dollars
3 : 6
To simplify this ratio, we see that a common divisor(in fact the only common divisor) is 3.
3/3 : 6/3
1 : 2
Therefore, we get 1 pound per $2