Answer:
1,793.7 ft³
Step-by-step explanation:
please see attached for reference
The volume of a right circular cone is given by
Volume, V = (1/3) πr²h where,
V = volume of cone
r = radius = (1/2) diameter = 18.7/2 = 9.35 ft
h = height of cone = given as 19 ft
π = 3.142
Substituting the above values into the equation:
V = (1/3) πr²h
= (1/3) (3.142) (9.35)²(19)
= 1,739.6595 ft³
= 1,793.7 ft³ (nearest tenth)
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Answer:
26 over 3 =2
------ = 8.667
3
Convert mixed number to improper fraction
5 and 3 over 45
3
4
= ( 5 × 4 ) over 4
5 × 4
4
+ 3 over 4
3
4
= ( 20 + 3 ) over 4
20 + 3
4
= 23 over 4
23
4
Step 1 of 2: Add, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 11 over 122
11
12
= ( 2 × 12 ) over 12
2 × 12
12
+ 11 over 12
11
12
= ( 24 + 11 ) over 12
24 + 11
12
= 35 over 12
35
12
Step 1 of 2: Add, sub-step c: Find common denominator.
Find common denominator
23 over 4
23
4
+ 35 over 12
35
12
= ( 23 × 3 ) over ( 4 × 3 )
23 × 3
4 × 3
+ ( 35 × 1 ) over ( 12 × 1 )
35 × 1
12 × 1
= 69 over 12
69
12
+ 35 over 12
35
12
12 is the least common multiple of denominators 4 and 12. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Add, sub-step d: Add.
Add
69 over 12
69
12
+ 35 over 12
35
12
= ( 69 + 35 ) over 12
69 + 35
12
= 104 over 12
104
12
Answer:
y = 5
Step-by-step explanation:
The first term (a1) is 9, and the common difference (d) is 4. Then the general term is ...
an = a1 + (n-1)·d = 9 + 4(n -1) = 4n +5
The "y-intercept" corresponds to the value when n=0. That value is ...
a0 = 4·0 +5 = 5
The y-intercept is 5.
_____
<em>Comment on the problem</em>
We have computed f(n) for n=0, but we must realize that n=0 is outside the domain of the function. This function only makes sense for integer values of n that are greater than zero. The "real" answer is that the y-intercept is "undefined."
Answer:
41 minutes
Step-by-step explanation:
We are given;
Time spent on homework = 90 minutes
Time spent reading = 2/3 hours = 2/3 × 60 minutes = 40 minutes
Time spent making lunch = 540 seconds = 540/60 minutes = 9 minutes
We want to find how many more minutes Roberto spent doing homework than he did reading and making his lunch.
Thus;
Time spent on reading and making lunch = 40 + 9 = 49 minutes
Hence, the word "how many more" means we will subtract 49 from 90.
So, "how many more minutes" = 90 - 49 = 41 minutes
Step-by-step explanation: