Answer:
The answer is option d.
To find a we have to first find b
sin 60° = b / 10
b = 10 sin 60°
b = 5√3
sin 30° = b / a
b = 5√3
a = 5√3 sin 30°
a = 10√3
cos 30° = c / a
a = 10√3
c = 10√3 sin 30°
c = 15
cos 60° = d /10
d = 10 cos 60°
d = 5
a = 10√3 , b = 5√3 , c = 15 and d = 5
Hopethis helps.
This is a linear equation or y=mx+c. Where y is the number of mosquitos at a particular month and x is the number of months. We know the initial population of the mosquitoes is c=20. They population doubles every month so this is the gradient, m=2. Therefore the equation for the growth of the mosquito population is:
y = 2x + 20.
So after x= 10 months the mosquito population will be,
y=2(10)+20= 40.
There will be 40 mosquitoes after ten months.
Our function is:

Now, if
is a factor of
then
must satisfy the equation:
So, 
Putting 
We get,




So, the value of 'a' for the given expression is 1281.
Answer: If you’re looking for the area it is 650.65 yd and if you’re looking for the volume it is 1072.33