Answer:
Step-by-step explanation:
Given data:
Circumference of the base of the cone = 24in.
Recall that circumference (in this case) is the distance round the base of the cone and from here the diameter D=12in. Radius = 6in
Surface area l = pie x radius ( slant height + radius)
= 3.142 x 6 (20 + 6)
= 3.142 x 6 (26)
= 3.142 x 156
= 490.152in^2
Answer: it will take 9 hours.
Step-by-step explanation:
The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 18 inches
d = 1.5 inches
The expression becomes
Tn = 18 + 1.5(n - 1)
For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30
Therefore,
30 = 18 + 1.5(n - 1)
1.5(n - 1) = 30 - 18
1.5(n - 1) = 12
n - 1 = 12/1.5 = 8
n = 8 + 1
n = 9
Answer:
The recipe calls for 19/12 or 1 7/9 cups.
Step-by-step:
In order to get this answer, we have to add all three fractions together. First, we have to find the LCM (Least Common Multiple) between the three denominators:
2: 2, 4, 6, 8, 10, 12
3: 3,6,9,12
4: 4,8,12
The LCM between these three denominators is 12.
4x3=12
2x6=12
3x4=12
You now multiply the numerator by the same number you multiplied by for the denominator in order to get 12:
3/4 becomes 9/12
1/2 becomes 6/12
1/3 becomes 4/12
We now add all the fractions together:
9/12+6/12+4/12= 19/12
We got 19/12 but the answer is an improper fraction so we turn it into a mixed number:
12x1=12 (7 remaining)
This is written as 1 7/12.
Hope this helps! :)
<h3>
CloutAnswers</h3>
Answer:
25x-49
Step-by-step explanation:
5x×5x=25x 5x×-7= -35x
7×5x=35x 7×-7=-49
(combine like terms)25x+-35x+35x= 25
hope that helped you!
Answer:
isometry
Step-by-step explanation:
