Sin(angle) = Opposite / hypotenuse
Sin(x) = 5/14
X = arcsin(5/14)
x = 20.9
X = 21 degrees.
The answer is B.
Answer:
I think that what you are trying to show is: If
is irrational and
is rational, then
is rational. If so, a proof can be as follows:
Step-by-step explanation:
Suppose that
is a rational number. Then
and
can be written as follows


Hence we have that

Then

This is a contradiction because we assumed that
is an irrational number.
Then
must be an irrational number.
I would say 270 because : 30 times 9 is 270.
Answer:
Distance= 16.4 units
Midpoint= (1½, -1)
Step-by-step explanation:

Distance between (-5, 4) and (8, -6)
![= \sqrt{ {( - 5 - 8)}^{2} + {[4 - ( - 6)]}^{2} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%20%7B%28%20-%205%20-%208%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%5B4%20%20-%20%28%20-%20%206%29%5D%7D%5E%7B2%7D%20%7D%20)




= 16.4 units (3 s.f.)

Midpoint



Answer:

Step-by-step explanation:
5 : 3
5 + 3 = 8
103.2 ÷ 8
12.9
12.9 × 3
38.7
12.9 × 5
64.5