Answer:
45 degrees
Step-by-step explanation:
Here, we want to get the value of the acute angle
From the question, we have it that the sin of the acute angle equals its cosine
Recall;
cos A = sin (90-A)
Hence, if A is 45, then Cos A and Sine A will be the same
This means the value of theta which is the acute angle is 45 degrees
The line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.
<h3>What is the line of best fit?</h3>
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
First, we need to find the line of best fit:
Let's suppose the line of the best fit is:
y = mx + c
We can find the value of m:
and
After calculating, we will get:
m = 4.71
d = -30.31
y = 4.71x—30.31
Plug x = 9.5
y = 14.43 ≈ 14.5 oz
Thus, the line of the best fit is y = 4.71x—30.31 and at x = 9.5 inches the value of y is 14.5 oz.
Learn more about the line of best fit here:
brainly.com/question/14279419
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C prime would just be (4, 2) cause you are dilating it at 0,0 and with a scale factor of 2.
2(2, 1) is (4, 2)
This is double the distance from 0, 0 which makes sense
The function that represents the vertical stretch by a factor of 3 of f(x) is given as follows:
g(x) = 3x - 21.
<h3>How are vertical stretches and compression applied to the graph of a function f(x)?</h3>
Vertical stretches or compression to the graph of a function f(x) are applied by the multiplication of a constant a to the function, as follows:
g(x) = a x f(x).
Then the value of the constant determines if it is an stretch or a compression.
- If the absolute value of the constant a is <u>greater than 1</u>, it is a stretch.
- If the absolute value of the constant a is <u>less than 1</u>, it is a compression.
For this problem, we want a vertical stretch with a factor of 3, then the constant is given as follows:
a = 3.
Then the definition of function g(x) is given by:
g(x) = 3f(x)
g(x) = 3(x - 7)
g(x) = 3x - 21.
More can be learned about transformations of functions at brainly.com/question/28810470
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Answer:
276
Step-by-step explanation:
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