Answer:
Volume = 434.89276543154 inch³
Step-by-step explanation:
volume = 4/3πr³
where r is the radius
r = 9.4/2
r = 4.7³
Volume = 4/3×π×4.73³
Volume = 434.89276543154 inch³
Answer:
The correct option is D.
Step-by-step explanation:
The slope of a line is the change in y with respect to x.
If the slope of a line is undefined it means it is a vertical line and a vertical line can not passes through three quadrants. So, option A is incorrect.
If the slope of a line is 0 it means it is a horizontal line and a horizontal line can not passes through three quadrants. So, option B is incorrect.
If the slope of a line is positive it means the value of y increases as x increases.
Since it is an increasing line, therefore after a certain period both x and y will positive. It means the line will passes through first quadrant. So, option C is incorrect.
If the slope of a line is negative it means the value of y decreases as x increases. It can passes through each of Quadrants II, III, and IV.
Therefore the correct option is D.
Answer:
sum of angles in atriangle=180°
Step-by-step explanation:
w-45°+w-37°+w+19°=180°(sum of angles in a triangle)
3w=180°+45°+37°-19°
3w=243°
w=81°
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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Answer: 2 3/4 as an improper fraction would be B. 11/4
