Alice spends $3 per day, so for in a week and upto 5 weeks, Alice spend =$3*5*5 = $75
Betty spends $ 25 every 2 weeks, so for 5 weeks , she spends= 25+25+12.5
= $62.5
Cindy spends $ 75 per month, and on an average there are less then 5 weeks in a month . SO for 5 week, it must be greater than $75 .
So the order is
Cindy>Alice>Betty
N = 2
M + 5
Hope that helped :)
Answer:
Step-by-step explanation:
R = (5+T)P/3
3R = (5+T)P
3R/ (5+T) = P

Answer:
x = 10.0
Step-by-step explanation:
Using the geometric mean formula:
x projection
----------------- = ---------------
entire base x
Here, the projection is 5 and the entire base is (20 + 5). So:
x 5
------------ = ------------
25 x
Cross multiply:
x² = 25 (5)
x² = 100
√x² = √100
x = 10
Answer:
Step-by-step explanation:
1.
cot x sec⁴ x = cot x+2 tan x +tan³x
L.H.S = cot x sec⁴x
=cot x (sec²x)²
=cot x (1+tan²x)² [ ∵ sec²x=1+tan²x]
= cot x(1+ 2 tan²x +tan⁴x)
=cot x+ 2 cot x tan²x+cot x tan⁴x
=cot x +2 tan x + tan³x [ ∵cot x tan x
=1]
=R.H.S
2.
(sin x)(tan x cos x - cot x cos x)=1-2 cos²x
L.H.S =(sin x)(tan x cos x - cot x cos x)
= sin x tan x cos x - sin x cot x cos x

= sin²x -cos²x
=1-cos²x-cos²x
=1-2 cos²x
=R.H.S
3.
1+ sec²x sin²x =sec²x
L.H.S =1+ sec²x sin²x
=
[
]
=1+tan²x ![[\frac{\textrm{sin x}}{\textrm{cos x}} = \textrm{tan x}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%5Ctextrm%7Bsin%20x%7D%7D%7B%5Ctextrm%7Bcos%20x%7D%7D%20%3D%20%5Ctextrm%7Btan%20x%7D%5D)
=sec²x
=R.H.S
4.

L.H.S=



= 2 csc x
= R.H.S
5.
-tan²x + sec²x=1
L.H.S=-tan²x + sec²x
= sec²x-tan²x
=


=1