A beam rests against a wall, forming a 55-degree angle with the floor. Use the function y=9sec 0 to find the length of the beam
1 answer:
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Answer:
Therefore, the side lengths 10, 14, and 15 form a triangle.
Step-by-step explanation:
The Triangle Inequality Theorem defines that if we are given the three sides of a triangle, then the sum of any 2 sides of a triangle must be greater than the measure of the third side of the triangle.
The three conditions that need to be met for any triangle with the side lengths A, B, and C.
Given the side lengths of a triangle
- 10
- 14
- 15
Let us check whether it satisfies the three conditions.
10+15 > 14 → TRUE
10+14 > 15 → TRUE
14+15 > 10 → TRUE
As all the conditions are met. Therefore, the side lengths 10, 14, and 15 form a triangle.
Answer:
The 95% confidence interval for the population mean is between 25.86 and 28.14.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 27 - 1.14 = 25.86
The upper end of the interval is the sample mean added to M. So it is 27 + 1.14 = 28.14
The 95% confidence interval for the population mean is between 25.86 and 28.14.
Answer:
x = ±√7, ±i√2
Step-by-step explanation:
or
x^2 - 7 = 0
x^2 = 7
x = ±√7
or x^2 + 2 = 0
x^2 = -2
x = ±i√2