Use the general rotation matrix and the unit circle or inverse trigonometric functions to find the angles of rotation for the following matrices.B=[-0.3090 0.9511]
0.9511 -0.3090
72
108
144
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Answer:
108
Step-by-step explanation:
Hope this helps! :)
Answer:
108
Step-by-step explanation:
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Lines e and f are parallel. The m<9=80° and m<5=55°. Which angle measures are correct? Check all that apply.
What is the total number of students in Holly@s school?
Answers
Answers
First you must know that 1 mile = 1760 yards.
Dominic's trail is 6 miles long, which is equal to 10560 yards.
You can compare Dominic's trail, 10560, to Terell's trail, 7020.
10560 > 7020
Therefore, Dominic's trail is longer.<------
To find the difference, subtract.
10560 - 7020 = 3540
In yards, the difference is 3540.<-----------
3540 yards is the same as 2.01.
2.01 is the difference .<-----------
Answers include the arrow. <-------------
Answers
Answer:
There are 1,500 books in Library 1
Step-by-step explanation:
30 = 0.02x
Divide 0.02(or 2%) from both sides
1,500
You need to divide the 20 books by the percentage that they are compared to the total amount.
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Final answer:
To find the total number of books in Library 1, we can use the concept of percent. We are given that 30 books represent 2% of the total books in Library 1. By setting up and solving an equation, we find that the total number of books in library 1 is 1500.
Explanation:
To find the total number of books in Library 1, we can use the concept of percent.
Let's represent the total number of books in library 1 as x.
We are given that 30 books represent 2% of the total books in Library 1.
So, we can set up the equation:
2% of x = 30
To solve for x, we need to isolate it on one side of the equation. To do this, we can divide bothsides of the equation by 2% or 0.02.
x = 30 ÷ 0.02 = 1500
Therefore, the total number of books in Library 1 is 1500.
Learn more about Finding Total Number of Books in a Library here:
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This is asking for you to use the Pythagoras's theorem, which says that if you are given a height of a right triangle (h) and the length of that right triangle (L), then, the hypotenuse, or the distance between them (d), is:
Here, we are given that the height is 3m and the length is 5m. The distance, then will be given by:
So, the distance between the ladder and the bottom of the slide is 4 meters. Hope I could help! :)
Key features of Graphs
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24.8 < μ < 27.0
24.2 < μ < 27.6
24.4 < μ < 27.4
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The 95% confidence interval for the true mean weight, μ, of all packages received by the parcel service is;
Option A; 24.6 < μ < 27.2
We are given;
Sample mean; x' = 25.9 pounds
Standard deviation; σ = 3.8 pounds
Confidence level; CL = 95%
Sample size; n = 34
Now formula for confidence interval is;
CI = x' ± z( σ/√n)
Where z is critical value at given confidence level.
z at CL of 95% is; z = 1.96
Thus;
CI = 25.9 ± 1.96(3.8/√34)
CI = 25.9 ± 1.3
CI = (25.9 - 1.3), (25.9 + 1.3)
CI = (24.6, 27.2)
Read more at; brainly.com/question/12970960
Answer:
24.6 < μ < 27.2
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 25.9 - 1.3 = 24.6 pounds.
The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.
So the correct answer is:
24.6 < μ < 27.2