Answer:
see explanation
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides
(11)
given 2 sides 2, 6 , then
6 - 2 < x < 6 + 2
4 < x < 8
(12)
Given 2 sides 4, 12 , then
12 - 4 < x < 12 + 4
8 < x < 16
(13)
Given 2 sides 2, 11 , then
11 - 2 < x < 11 + 2
9 < x < 13
Answer: the increase each year is 423 tv sets
Step-by-step explanation:
The formula for determining the sum of n terms of an arithmetic sequence is expressed as
Sn = n/2[2a + (n - 1)d]
Where
n represents the number of terms in the arithmetic sequence.
d represents the common difference of the terms in the arithmetic sequence.
a represents the first term of the arithmetic sequence.
From the information given,
n = 10 years
a = 1000
S10 = 29035
We want to determine d which is the amount by which the production increased each year. Therefore, the sum of the first 10 years would be
29035 = 10/2[2 × 1000 + (10 - 1)d]
29035 = 5[2000 + 9d]
29035/5 = [2000 + 9d]
9d = 5807 - 2000 = 3807
d = 3807/9 = 423
Answer:
5 9/20
Step-by-step explanation:
4 7/10 + 6/8
Simplify the fractions by dividing the second top and bottom by 2
4 7/10 + 3/4
Getting a common denominator of 20
4 7/10 *2/2 + 3/4 * 5/5
4 14/20 + 15/20
4 29/20
4 + 20/20 + 9/20
4+1+9/20
5 9/20
