Answer:
n = √3
m = √3
Step-by-step explanation:
The triangle is an isosceles right triangle with 2 equal base angles of 45° each.
Thus:
Reference angle = 45°
Hypotenuse = √6
Opposite = m
Adjacent = n
✔️To find m, apply the trigonometric function SOH, we have:
Sin 45 = opp/hyp
Sin 45 = m/√6
√6 × 1/√2 = m (sin 45 = 1/√2)
√6/√2 = m
√(6/2) = m
√3 = m
m = √3
✔️To find n, apply the trigonometric function, CAH:
Cos 45 = adj/hyp
Cos 45 = n/√6
√6 × √2/2 = n (cos 45 = √2/2)
√12/2 = n
√(4*3)/2 = n
(2√3)/2 = n
√3 = n
n = √3
Answer: shifted by 3*pi/2 units to the right.
Step-by-step explanation:
Here we have:
y = sin(x - 3*pi/2)
now, you need to remember this:
if we have y = f(x)
then y' = f(x - A) is the graph of y, shifted A units to the right (where A is a positive number).
If A is negative, the shift is to the left.
Then in this case, we have:
sin(x) -----> sin( x - 3*pi/2)
A = 3*pi/2
Then we have the graph shifted by 3*pi/2 units to the right.
The deviation σ in the art book =15.4, the σ in the Science =7.9
Consequently the art book has data further away from the mean when compared to the science book. It will be difficult to have a valid inference.
No, because there is a lot of variability in the art book data
Add 799.99 and 679.99 which equals 1479.98
Then divide 1479.98 by 2 which equals 739.99
Your answer is c. 739.99
Let the two numbers be x and y.
x = 4y
x - y = 342
3y = 342
y = 114
xy = 4y * y = 456 * 114 = 51984
