Answer:
Step-by-step explanation:
<u>In right triangle sum of two angles is 90°</u>
- 4x + x = 90°
- 5x = 90°
- x = 90°/5
- x = 18°
<u>Angle y is exterior angle and equals non-adjacent interior angles</u>
- y = 4x + 95° =
- 4*18° + 95° =
- 72° + 95° =
- 167°
Answer:
multiply the population each year by 4% or 0.04
year 1 increase by 9600, population 249,600
year 2 increase by 9984, population 259,584
year 3 increase by 10,383, 269,967
year 4 increase by 10,799, 280,766
year 5 increase by 11,231, 291,997
year 6 increase by 11,680, 303, 677
Step-by-step explanation:
I rounded the totals.
Answer:
The number of deserters is 34.
Step-by-step explanation:
We have to calculate the number of desertors in a group of 1500 soldiers.
The sergeant divides in groups of different numbers and count the lefts over.
If he divide in groups of 5, he has on left over. The amount of soldiers grouped has to end in 5 or 0, so the total amount of soldiers has to end in 1 or 6.
If he divide in groups of 7, there are three left over. If we take 3, the number of soldiers gruoped in 7 has to end in 8 or 3. The only numbers bigger than 1400 that end in 8 or 3 and have 7 as common divider are 1428 and 1463.
If we add the 3 soldiers left over, we have 1431 and 1466 as the only possible amount of soldiers applying to the two conditions stated until now.
If he divide in groups of 11, there are three left over. We can test with the 2 numbers we stay:

As only 1466 gives a possible result (no decimals), this is the amount of soldiers left.
The deserters are 34:

That easy just divide 9 by 22 if need simplify it
I think the answer is going to be 3s