Using a geometric series, it is found that he swims 1897 yards in the first week.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:
In which 
is the first term.
The sum of the first n terms is given by:
In this problem:
- 200 yards on the first day, thus
. - Each day, the distance increases by 10%, since 100% + 10% = 110% = 1.1,
. - First week is first 7 days, thus
Then:
He swims 1897 yards in the first week.
A similar problem is given at brainly.com/question/23711475
Answer: 313 in each box.
Step-by-step explanation: So you have 1,565 flying discs, and they are DIVIDED into 5 boxes, you would divide 1,565 by 5, with that, you keep on subtracting down to get to where you cannot subtract anymore, which gets you down to your answer!
NOTE: I was in class at this time, so that's why I didn't type as much as I should! Your welcome!
Answer:
1/8
Step-by-step explanation:
3/4=6/8
6/8+1/8=7/8
because the question asks how much is left, we should subtract 7/8 from 1, leaving 1/8.
yaaay.
Answer:
8
Step-by-step explanation:
DCB and ABC are right angles
DCB = 90 = 7x + 34
If 7x + 34 = 90, then 7x = 56 and x = 8
Hope this helps :)
Answer:
Side a = 35ft
Side b = 35ft
Side c = 20ft
Step-by-step explanation:
The formula for the perimeter of a triangle = Side a + Side b + Side c
In an isosceles triangle, 2 sides are equal to each other.
So, Side a = Side b
In the question, we are told that:
The two equal sides are each 5 ft less than twice the length of the third side.
Hence,
a = 2c - 5
b = 2c - 5
P = 90ft
P = a + b + c
90 = 2c - 5 + 2c - 5 + c
Collect like terms
90 = 5c - 10
90 + 10 = 5c
100 = 5c
c = 100/5
c = 20
The length of the third side = 20ft
a = 2c - 5
= 2 × 20 - 5
= 40 - 5
= 35 ft
b =2c - 5
= 2 × 20 - 5
= 40 - 5
= 35 ft
Therefore,
Side a = 35ft
Side b = 35ft
Side c = 20ft
