Perimeter of quadrilateral ANCM = AN+NC+CM+MA
CM=AM = x in
Therefore, AN=NC = x in
In other words, all sides of the new quadrilateral are equal.
Perimeter (P) = 4x in
Now, Cos 45 = (x-6)/x =>0.7041 = (x-6)/x => 0.7041x=x-6 =>x= 6/(1-0.70741)
x= 20.5 in
Therefore, P=4*20.5 = 82 in
Answer:
d. converges, -25
Step-by-step explanation:
An infinite geometric series converges if the absolute value of the common ratio is less than 1.
Here, the common ratio is 4/5:
| 4/5 | = 4/5 < 1
So the series converges. The sum of an infinite geometric series is:
S = a₁ / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = -5 and r = 4/5:
S = -5 / (1 − 4/5)
S = -25
Divide 30 by 7 to get 4 2/7
So, to solve this problem you just have to add up all of the smaller parts.
First, we have our daily charge: $46.99
2 * 46.99 = $93.98
Next, we have our mileage costs, which will be
[ (miles driven) * (charge per mile) ] - (50 * 0.35)
(430 * 0.35) - 17.5
150.50 - 17.50 = $133
Finally, we add our daily rate to our mileage costs.
93.98 + 133 = $226.98
Answer:
The mean is 70.8.
Step-by-step explanation:
Finding the arithmetic mean, or average, can be found by adding up all the numbers divided by the total count of those numbers.
So, we have :: 60, 67, 71, 76, 80.
These numbers added together = 354.
There are 5 numbers listed.
354 / 5 = 70.8.
