Answer:
m∠x = 10°
Step-by-step explanation:
Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.
"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.
The ratios are:
sinθ = opposite/hypotenuse
cosθ = adjacent/hypotenuse
tanθ = opposite/adjacent
θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.
In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.
sinθ = opposite/hypotenuse
sinx = CB/AB Substitute the labels in the diagram
sinx = 4/23 Substitute known values (side lengths)
x = sin⁻¹(4/23) Isolate 'x'. Use calculator to solve.
x = 10.015....° Exact answer
x ≈ 10° Round to the nearest degree
Therefore the measure of angle x (m∠x) is 10°.
<h2>H
ello!</h2>
The answer is:
The quadratic function that fits the given picture is:
<h2>
Why?</h2>
We can solve the problem and find the correct function that fits the curve below by finding which function intercepts the y-axis at -5 (we can see it from the picture), also, we need to look for a function that represents a parabola opening upwards. We need to remember that when a parabola is opening upwards, its quadratic term coefficient is negative.
So, we can see that from the given functions, the only function that represents a parabola opening upwards and its y-intercept is located at y equal to -5 is the second option:
We have that :
We can see that the quadratic term (a) is negative, and the quadratic function intercepts the y-axis at y equal to -5.
Hence, the answer is:
The quadratic function that fits the given picture is:
Have a nice day!
Note: I have attached a picture for better understanding.
we are given with the set of data containing the elements listed above and is asked to find out the standard deviation of the data. SD is used to determine the distance between the points to the best fit line gained from the data. The formula to be followed is the square root of the summation of (x-mean) over n-1. sd is equal to <span>5.13.</span>
Answer:
5
Step-by-step explanation:
Let's first find the slope of the linear function represented by the table:
As we move from x = 4 to x = 6 *an increase of 2), y increases by 6 from -2 to +4. Thus, the slope of this line is m = rise / run = m = 6/2, or 3.
Now we compare the two slopes: -2 and 3.
The postive difference between them is 5. This is Answer B.
Coefficients are the numbers in a equation variables are the letter
