Answer:
-20m^2
Step-by-step explanation:
-5m (6m x 2 - 8m)
-5m (12m-8m)
-5m x 4m
=-20m^2
Answer:
Step-by-step explanation:
you have a special triangle 30-60-90
the ration in this traingle is x, x
, 2x, where 2x is the hypothenuse
the hypothenuse is 12
x=12/2=6
the other leg is 6=10.39
Square both given expressions and add them together. Make use of trig identities.
(sin(a) +sin(b))^2 = sin(a)^2 +2sin(a)sin(b) +sin(b)^2 = 5/3
(cos(a) +cos(b))^2 = cos(a)^2 +2cos(a)cos(b) +cos(b)^2 = 1
Adding, we have
sin(a)^2 +cos(a^2) +2(cos(a)cos(b) +sin(a)sin(b)) +sin(b)^2 +cos(b)^2 = 2 2/3
Of course, the first and last pairs of terms are 1 and 1, and the middle product is 2cos(a-b), so you have
1 + 2cos(a-b) +1 = 2 2/3
cos(a-b) = 1/3
Answer:
A) 1.03x ; B) 1.08x ; C) 1.24x
Step-by-step explanation:
Given that :
Price of item = x
The Markup is obtained as :
Initial price + profit
As a percentage :
100% of x + percentage added
x + percentage added
No matter the percentage added to x above, the marked up price will be a certain percentage above 100% of x ; that is > 1x
Hence, the Marked up price will always be greater than 1 ;
From the option given, the possible mark up price will be :
A) 1.03x ; B) 1.08x ; C) 1.24x as they are greater than. 100% of x
