Answer:
The solution lies at approximately (4.25,6.5).
Step-by-step explanation:
The estimate is pretty close for both equations. For the first equation, the estimate results in a value that is only 0.2125 units away from the constant. For the second equation, the estimate results in a value that is only 0.25 units away from the constant.
The angle that subtends a chord is half the measure of the arc, so we have an arc QS of 2(84)=168 degrees.
Answer: 168 degrees
Using the z-distribution, it is found that the margin of error is of 0.059.
We are given the standard deviation for the population, hence the <em>z-distribution</em> is used.
<h3>What is the margin of error for a z-confidence interval?</h3>
It is given by:
In which:
is the population standard deviation.
In this problem, the parameters are:
.
- Confidence level of 0.90, hence, using a z-distribution calculator, the critical value is z = 1.645.
Then:
The margin of error is of 0.059.
You can learn more about the z-distribution at brainly.com/question/12517818
Answer:
Step-by-step explanation:
we can have infinite similar triangles with different side lengths but if the base length is same then two triangles on the opposite side of base.
On one side of base only one triangle can be formed.
3 sin ( 2 x ) = 3 cos x
3 · 2 sin x cos x - 3 cos x = 0
6 sin x cos x - 3 cos x = 0 /: 3
2 sin x cos x - cos x = 0
cos x ( 2 sin x - 1 )
cos x = 0,
x 1 = π/2, x 2 = 3π/2;
2 sin x - 1 = 0
2 sin x = 1
sin x = 1/2
x 3 = π/6, x 4 = 5π/6.
