Based on the calculations, the length of side CM is equal to 4 units.
<h3>How to calculate the
length of side CM?</h3>
First of all, we would determine the measure of angle B by applying the law of cosine as follows:
B² = A² + C² - 2(A)(C)cosB
<u>Given the following data:</u>
A = BC = 5
B = AC = 4√2
C = AB = 7
Substituting the given parameters into the formula, we have;
(4√(2))² = 5² + 7² - 2 × 5 × 7 × cosB
cos(B) = ((4√(2))² - (5² + 7²))/(-2×5×7)
cos(B) = 0.6
B = cos⁻¹(0.6)
B = 53.13°.
Now, we can find side CM by using sine trigonometry:
sin(B) = CM/BC
CM = BC × sin(B)
CM = 5 × sin(53.13°)
CM = 5 × 0.8
CM = 4 units.
Read more on cosine law here: brainly.com/question/11000638
#SPJ1
1) Describe the relationship of input and outpunt values for a composite functions.
The composition of the functions f(x) and g(x) is defined as:
(f ° g) (x) = f [g(x) ].
That means that the output of the function g(x) is the input of the function f(x).
2) Is the inverse of a function always a function?
No, the inverse of a function is not always a function.
Remember that a function cannot have two different outputs for one or more input.
The reason is that if the original function has two or more inputs that result in a same output, when you inverse the original function, the outputs of the original are the inputs of the inverse function and the inputs of the original are the outputs of the inverse. That implies that the inverse function would have some inputs related with more than one output, which is the negation of a function.
Ruby and Angie ate 8/15 of the pizza all together
Answer:
So on this case the best option for the answer would be:
between .01 and .025
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have 
groups and on each group from 
we have 
individuals on each group we can define the following formulas of variation:
And we have this property
The degrees of freedom for the numerator on this case is given by 
where k =4 represent the number of groups.
The degrees of freedom for the denominator on this case is given by 
.
And the total degrees of freedom would be 
We can find the 
And 
And the we can find the F statistic 
And with that we can find the p value. On this case the correct answer would be 3 for the numerator and 16 for the denominator.
So on this case the best option for the answer would be:
between .01 and .025
