This equation is an example of a Limacon with inner loop. By using the symmetry tests where:
POLAR AXIS/HORIZONTAL:
replace a) θ by -θ, b) r by -r and θ by π-<span>θ
VERTICAL AXIS:
replace a) </span>θ by π-θ, b) r by -r and θ by -<span>θ
POLE:
replace a) </span>θ by π+<span>θ, b) r by -r
If any of these rules, after replacing it in the equation, results to the original equation (making it the equivalent) then it is symmetrical to that axis.
In this case, it is only symmetrical about the polar/horizontal axis. </span>
The life expectancies of residents of a country for which the average annual income is $80,000 for the three models are 12309.9352, 172.2436 and 4828.1393
The life expectancies of the models are given as:
--- model 1
--- model 2
--- model 3
Given that the average annual income is $80,000;
We simply substitute 80000 for income in the equations of the three models.
So, we have:
<u>Model 1</u>



<u>Model 2</u>



<u>Model 3</u>



Hence, the life expectancies are 12309.9352, 172.2436 and 4828.1393
Read more about linear models at:
brainly.com/question/8609070
Answer: Yes the ladder will reach the fire
Step-by-step explanation: Please refer to the attached diagram for details.
The fire is at point A, while the top of the truck is at point C. The fire is actually burning at 22 feet off the ground, but because the fire truck itself is already 6 feet off the ground, the point that would serve as the base of the building would be 16 feet from the third floor (which is 22 feet minus 6 feet). Hence, point A to point B is 16 feet. So we need to calculate if line AC (from the truck to the fire at the third floor, labeled as b) shall equal the length of the ladder which is 16-foot long.
The angle of the ladder with the top of the truck is 75 degrees. Therefore,
Sin 75 = opposite/hypotenuse
Sin 75 = 16/b
By cross multiplication we now have
b = 16/Sin 75
b = 16/0.9659
b = 16.56
If the distance from A to C is 16.56 feet, then the 16-foot long ladder would reach the fire.
Answer:
The length is 95 m
Step-by-step explanation:
P = 2(l+w) where l is the length and w is the width
342 = 2(l+76)
Divide each side by 2
342/2 = 2/2(l+76)
171= l+76
Subtract 76 from each side
171- 76 = l+76-76
95 = l
Answer:
i think 38/60? simplified 19/30, im not sure..?
Step-by-step explanation:
20 percent of 60 is 12
1/6 is 10
12 plus 10 is 22
60- 22 is 38