You could take it from either of the non-right angles.
To one angle, which side is opposite and which is adjacent is different than to the other angle. This is also why sin(x) = cos(90-x) and cos(x) = sin(90-x).
Expressions are mathematical statements without the equation sign
The possible integer values of q, r, and z are 3, -4 and -1
<h3>How to determine the values of the integers</h3>
The expressions are given as:
x^2 + zx - 12
(x + q)(x + r)
Both expressions are equal.
So, we have:
Expand
By comparison, we have:
Assume that q = 3.
So, we have:
Divide by 3
Recall that:
So, we have:
Hence, the possible integer values of q, r, and z are 3, -4 and -1
Read more about expressions at:
brainly.com/question/4344214
By the confront theorem we know that the limit only exists if both lateral limits are equal
In this case they aren't so we don't have limit for x approaching 2, but we can find their laterals.
Approaching 2 by the left we have it on the 5 line so this limit is 5
Approaching 2 by the right we have it on the -3 line so this limit is -3
Think: it's approaching x = 2 BUT IT'S NOT 2, and we only have a different value for x = 2 which is 1, but when it's approach by the left we have the values in the 5 line and by the right in the -3 line.
Step-by-step explanation:
law of sine :
a/sinA = b/sinB = c/sinC
with the sides and correlating angles being always opposite to each other.
we are dealing with a right-angled triangle here.
the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.
the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.
the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.
so, we have
1600/sin(90) = elevation difference / sin(1.6)
sin(90) = 1
1600 = elevation difference / sin(1.6)
elevation difference = 1600 × sin(1.6) =
= 1600 × 0.027921639... =
= 44.67462196... ft
≈ 44.7 ft
