Answer: 1110
Step-by-step explanation:
For an arithmetic progression, the nth term is gotten by using the formula:
= a + (n-1)d
Therefore,
7th term = a + 6d = 38 ..... equation i
12 term = a + 11d = 63 ...... equation ii
Subtract equation i from ii
(a + 6d) - (a + 11d) = 38 - 63
-5d = -25
d = 25/5
d = 5
Since d = 5
From a + 6d = 38
a = 38 - 6d
a = 38 - (6×5)
a = 38 - 30
a = 8
The sum of the first 20 terms will be:
= n/2[2a + (n-1)d]
= 20/2[(2×8) + (20-1)5]
= 10[16+(19 × 5)]
= 10(16+95)
= 10(111)
= 1110
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The first attachment shows the rectangles with the area inside and the width on the right. The synthetic division of area by width gives the polynomial coefficients for length. The lengths are marked above the rectangles. The synthetic division is shown the 2nd and 3rd attachments.
Answer:

Step-by-step explanation:
Given
--- Area of smaller rectangle
--- Area of bigger rectangle
Required
Determine the area of the areas.
The ratio is calculated by the dividing the areas of rectangles.

Substitute values for A2 and A1


Simplify the fraction

Represent as ratio

<em>Hence, the ratio of the rectangles is 1 to 9</em>
For this kind of problems, first find the method to solve, then face the fractions.
If I jog 100 miles in a year, and I do 2 miles a day. How many days did I jog?
We know easily that it is 100 days/ 2 miles/day = 50 days.
So the number of days is total distance / how much a day, or
(6 1/2) divided by (1/6)