13. The words are telling you
.. HT +TS = HM +MS +2
.. (2x +1) +(x) = (x +1) +(x +2) +2
.. 3x +1 = 2x +5 . . . . . . . . . . . . . . collect terms
.. x = 4 . . . . . . . . . . . . . . . . . . . . . add -2x-1
HT +TS = 3x +1 = 3*4 +1 = 13 miles
The route via the theater is 13 miles.
Via the mall, the route is 11 miles.
14. Solve this the way you would any 2-step linear equation. Subtract terms that don't have h, and divide by the coefficient of h.
S = 2πr^2 +2πrh
S -2πr^2 = 2πrh
(S -2πr^2)/(2πr) = h
If you like, you can rearrange this to
.. h = (S/(2πr)) -r
What is your question ? for help !
Given:
The height of a right cone = 14 in
Base diameter = 17 in
To find:
The diagram of the cone and its lateral surface area.
Solution:
(a)
The diagram of a right cone with height 14 in and base diameter of 17 in is shown below.
Diagram is not to scale.
(b)
We know that lateral surface of the cone is

...(i)
Where, r is the base radius, h is vertical height and l is the slant height of the cone.
Base radius of the cone = 


Now,
Putting r=8.5, h=14 and π=3.14 in (i), we get





Therefore, the lateral surface area of the cone is 437 sq. inches.
Answer:
Step-by-step explanation:
Annual gross salary = $28000
Income tax = 20% on anything above $15000
So she's taxable for $5000
Rent loan = $140 per month = $140 * 12= $1680 per annum
Tax deductible per annum = 20% of $5000
20 / 100 * $5000 = $1000
Total amount she takes home per annum =
Gross salary per annum - tax - loan =
($28000 - $1000 - $1680) = $25,320
Ayesha takes home $25,320 home annually.