Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches
Step-by-step explanation:
Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
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 = 17 3/4= 71/4 inches
d = 103/12 inches
n = 3 weeks
the height in inches, of the pile after 3 weeks, T3. Therefore,
T3 = 71/4 + (3 - 1)103/12
T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6
T3 = 419/12 inches = 34 11/12 inches
Answer:

Step-by-step explanation:
To find the equation of this circle, we must know the center and the radius.
We can find the radius by dividing the value of the distance formula by 2 (since
):

We can then find the center of the circle by averaging the coordinates:


Then, we substitute these values into the equation of a circle:

Answer: 66
Step-by-step explanation:
11 beats in 6 seconds means you mulitiply the beats times the seconds
Answer:
Hence r=10.3 cms (rounded to tenth place)
Step-by-step explanation:
In Triangle KLN ,
KN = 5 Cms
LN = ½ of LM
As the Perpendicular dropped from the center to the chord bisects it.
LM = 18 cm
LN = 9 cm
Now we have to find r or KL
We apply Hypotenuse Formula in this
The formula is given as

Where c = r
a=5
b=9
Putting them in the formula




Answer:
C, 8,634.86
Step-by-step explanation:
Starting with 8,591.69
2.51% of 8,591.69 is 215.651419
subtract that from 8,591.69 and you get 8376.038581
3.09% of 8376.038581 is 258.819592153
258.819592153+8376.038581=8634.85817315
8,634.86 is your final answer