X=9 mark as brainlest if this helps ;)
Answer:
The larger acute angle is equal to 50.8 degrees.
Step-by-step explanation:
Let's solve for both of the acute angles for the purpose of checking our work at the end with angle A being the top angle and angle B being the one on the base of the triangle (that's not the 90 degrees one). Determining whether to use sin/cos/tan comes from SOH-CAH-TOA.
A = cos^-1 (2√6/2√15)
However, you need to move the radical out of the denominator by multiplying √15 to the numerator and denominator. You should come up with (2√90)/30. So,
A = cos^-1 (2√90/30) = 50.768 degrees.
B = sin^-1 (2√90/30) = 39.231 degrees.
Now, we can check the work by adding the 2 angles to 90 and, if it comes to 180, it's right.
cos^-1 (2√90/30) + sin^-1 (2√90/30) + 90 = 180.
If you have any questions on where I got a formula or any step, feel free to ask in the comments!
Answer: 10^-5 = 1/10^5
Step-by-step explanation: Every time you see a negative exponent, it would be 1/10^ (exponent number)
Answer:
Step-by-step explanation:
We are given the following in the question:
Significance level = 0.01
Width of interval = 0.1
Population variance = 
We have to find the sample size so that the width of the confidence interval is no larger than 0.1
Formula for sample size:
where E is the margin of error. Since the confidence interval width is 0.1,
Putting these values in the equation:
So, the above expression helps us to calculate the sample size so that the width of the confidence interval is no larger than 0.1 for different sample variances.
Area is Length x Width, so dividing the area (48) by the length (6) will get you a width of 8 meters
