Answer:
28.07° ; 70.53° ; 53.13° ; 36.87°
Step-by-step explanation:
Using PYTHAGORAS RULE :
IMAGE 1:
value of cos α equals :
cos α = Adjacent / Hypotenus
cos α = 15 / 17
cos α = 0.88235
α = cos^-1 (0.88235)
α = 28.07°
IMAGE 2:
sin β = Opposite / Hypotenus
sin β = 14√2 / 21
sin β = 0.9428
β = sin^-1(0.9428)
β = 70.53°
IMAGE 3:
From trigonometry :
cot = 1 / tan
Tan = Opposite / Adjacent
Therefore, Cot = Adjacent / Opposite
cot γ = 3/4
cot γ = 0.75
γ = cot^-1 (0.75)
γ = 53.13°
IMAGE 4:
tan α = Opposite / Adjacent
tan α = 15 / 20
tan α = 0.75
α = tan^-1 (0.75)
α = 36.87°
Answer:
2x + y = -7
Step-by-step explanation:
Standard form is Ax + By = C
A represents the coefficient with x
B represents the coefficient with y
C represents the constants
1 - Rewrite to make it easier to work it out
y - 3 = -2 ( x + 5 )
2 - Distribute
y - 3 = -2x - 10
3 - Get the variables on one side and the constants on the other
y - 3 = -2x - 10
+ 2x + 2x
2x + y - 3 = -10
+ 3 + 3
2x + y = -7
Hope this helps,
For the answer for number one you will multiply 3/4 and 9 and you will get 6.75 then you roun it to 6 for the answer.
For the answer for for number two postive 8 is to the right of zero so the opposite of 8 would be on the left of zero
3:c
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
