Answer:
π/3
Step-by-step explanation:
We have to find the principal value of 
arc sin means sin inverse. The sin inverse is a one to one function with its range between 
The principal value of the arc sin will lie within the above given range.
value of sin (60) or sin(
) is 
.
lies between 
So, from here we can say that the Principal Value of Arc sin(square root of 3/2) is π/3
we are given
Firstly , we will multiply both sides by 5
now, we can simplify it
now, we can solve for n
.............Answer
Just multiply 1/6 it's the scale factor so it'll tell you how you will shrink or enlarge the length
5. complementary = 80 degrees
supplementary = 170 degrees
6. complementary = 47.5 degrees
supplementary = 137.5 degrees
7. complementary = 10 degrees
supplementary = 100 degrees
8. false
9. true
10. true
11. true
12. false
13. true
14. false
Answer:
y = x + 1
Step-by-step explanation:
The gradient of a line can be defined by the equation:
m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript
For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):
x2 = -7, y2 = -6
Plug these values into the formula above:
m = (y-(-6)) ÷ (x-(-7))
m = (y+6) ÷ (x+7)
At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.
x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:
y = x-7 ---> The gradient (coefficient of x) is 1.
Therefore, the gradient of the other parallel line must also be 1.
This can be substituted into the previous equation to give:
1 = (y+6)÷(x+7)
x+7 = y+6
x+1 = y
Therefore, the answer is y=x+1
