Answer:
∠ 1,3,5,7 = 32°
∠2,4,6,8,= 148°
Step-by-step explanation:
From the figure attached,
AB and CD are two parallel lines and another transverse line is intersecting these line at two distinct points.
Since, m∠1 = 32°,
∠1 and ∠4 are supplementary angles [Linear pair of angles]
m∠1 + m∠4 = 180°
32° + m∠4 = 180°
m∠4 = 180° - 32°
m∠4 = 148°
therefore,
m∠1,3,5,7 = 32°
m∠2,4,6,8,= 148°
The area of the sector which is the white triangle adding the shaded region is 68.9/360*π*9.28^2=51.78005(rounding to 5th digit after decimal point for accuracy before we do final round for answer)
The area of the white triangle in the sector has area 1/2*9.28^2*sin(68.9)= 40.17223(rounding to 5 digits again for some accuracy.
Now we take out the white triangle from the sector.
51.78005-40.17223=11.60782
rounding to the nearest tenth we get 11.6 cm^2
Problem done!
Hope this helped and if you have any questions about my explanation just ask in the comment and I will answer.
Answer:
<h2>
$1344.9</h2>
Step-by-step explanation:
This problem can be solved using the compound interest formula

Given data
A, final amount =?
P, principal = $586
rate, r= 6.6% = 0.066
Time, t= 13 years
Substituting our values into the expression we have

To the nearest cent the in 13 years the CD will be worth $1344.9
Answer:
It will increase by 24 starfish
Step-by-step explanation:
The population is modeled by the following differential equation:

Which has the following solution:

In which N(0) is the initial population and r is the growth rate.
A population of 2000 starfish has a yearly per capita population growth rate of 0.012.
This means that 
By next year, how do you expect population size to have changed?
This is N(1).



2024 - 2000 = 24
So the correct answer is:
It will increase by 24 starfish
Answer:
3
Step-by-step explanation:
4* 3/4 = 3