Answer:
Length of the segment QS = 11.76 cm
Step-by-step explanation:
We are given with right angle triangle QRS
Angle S is 80 degree and RS = 2 cm
We need to find out QS
RS is adjacent to angle S, so we use cos formula
Plug in the angle and RS
Given cos(80) = 0.17
Multiply by QS on both sides
0.17 * QS = 2
Divide by 0.17 on both sides
QS= 11.76470588
Length of the segment QS = 11.76 cm
Answer:
Step-by-step explanation:
We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation is
.
We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be 
.
Then, we will find the y-intercept of the line using the standard equation of a line:
Therefore, the equation of the line will be .
23. because there is a 90 degree angle and then the 67 degree angle, and triangle law says that all angles add up to 180.
The answer to this question would be: <span>D) square inches</span>
In this question, Alex needs to find the surface area of a shoe box. Surface area unit would be represented by "square" because it is 2 dimension. The unit "cubic" is used for volume which was 3 dimension. From here, the option A and C is out because it uses cubic.
The inch unit is better since it was smaller than feet. If you using feet square, the area of the shoe box will be small and it might be less accurate than using inch.
<h3>
Answer: Diverges</h3>
This series diverges by the limit test (some books may call it the nth term test).
Recall the limit test is the idea if the sequence doesn't converge to 0, then the series diverges.
In this case, the sequence converges to n/(7n) = 1/7 since all we are about are the leading terms when n gets very large.
After some very large n value, we're effectively adding on 1/7 or very close to it, each time. The infinite sum does not approach a fixed value. It keeps growing forever.
