Answer:
81 and 9
Step-by-step explanation:
Okay, so if 2 angles are complementary, it means that when they are added together, they equal 90 degrees. So using this, we can make an equation. Let's call one angle x and the other that is 72 less than angle x can be described as x - 72. Now let's make that into an equation.
90 = x + x -72
So in order to solve this, we need to get x by itself. So we need to add 72 on both sides, and the equation should now look like this:
162 = x + x
Now we have to add the x's together.
162 = 2x
Now in order to isolate x, you divide by 2 on both sides.
X = 81
So we now know the larger angle is 81, and the smaller angle which is 72 less, would be 9.
Answer:
16 students are girls.
Step-by-step explanation:
5:4=36
5x+4x=36
9x=36
x=4.
So we can multiply the ratio by 4.
4(5+4)
20+16.
Since girls is 4, there are 16 girls.
Hope this helps plz hit the crown :D
Hello,
g(x)=x²+3
f(x)=2/x
so f(g(x))=f(x²+3)=2/(x²+3)
Explainations:
f(y)=2/y
f(4y)=2/(4y)
f(x²)=2/x²
f(x²+3)=2/(x²+3)
An example of a trig function that includes multiple transformations and how it is different from the standard trig function is; As detailed below
<h3>
How to interpret trigonometric functions in transformations?</h3>
An example of a trigonometric function that includes multiple transformations is; f(x) = 3tan(x - 4) + 3
This is different from the standard function, f(x) = tan x because it has a vertical stretch of 3 units and a horizontal translation to the right by 4 units, and a vertical translation upwards by 3.
Another way to look at it is by;
Let us use the function f(x) = sin x.
Thus, the new function would be written as;
g(x) = sin (x - π/2), and this gives us;
g(x) = sin x cos π/2 - (cos x sin π/2) = -cos x
This will make a graph by shifting the graph of sin x π/2 units to the right side.
Now, shifting the graph of sin xπ/2 units to the left gives;
h(x) = sin (x + π/2/2)
Read more about Trigonometric Functions at; brainly.com/question/4437914
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Answer:
12/37
Step-by-step explanation:
sin alpha = opposite side/ hypotenuse
sin alpha = 12/37
