Find the value of the csc 40° using your calculator. (I've been having a hard time with this, so it'd be helpful if anyone could
2 answers:
<span><u><em>The correct answer is: </em></u>
C 1.556.
<u><em>Explanation:</em></u>
This can be found by locating the csc button on your calculator. Typically it is located as the second option below the sin button as it is the inverse function.
If you cannot locate the csc button on your calculator, you can also use </span>
<span> as csc is its inverse.
Also, it is helpful to note that some calculators have both a degrees and a radians mode for trigonometric functions. You will need to make sure that you are in degrees in order to use a calculator to solve this. </span>
C 1.556.
<u><em>Explanation:</em></u>
This can be found by locating the csc button on your calculator. Typically it is located as the second option below the sin button as it is the inverse function.
If you cannot locate the csc button on your calculator, you can also use </span>
Also, it is helpful to note that some calculators have both a degrees and a radians mode for trigonometric functions. You will need to make sure that you are in degrees in order to use a calculator to solve this. </span>
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Answer:
The equation of line passing through point (2 , 2) and perpendicular to line y = x is y = - x + 4 .
Step-by-step explanation:
Given as :
The line equation is y = x
Now, equation of line in slope-intercept form y = m x + c
where m is the slope of line and c is y-intercept
Comparing given line equation with standard line equation
The slope of line y = x is m = 1
Again
Other line is passing through point (2 ,2) and is perpendicular to line y = x
Let The slope of other line = M
∵ From perpendicular lines property
Product of slope of lines = - 1
i.e m × M = - 1
Or , M =
Or, M =
∴ M = - 1
<u>Now, Equation of other line in point-slope form</u>
The other line is passing through point (2 , 2) and slope M = - 1
So, y - = M × (x -
)
Or, y - 2 = - 1 × ( x - 2 )
Or, y - 2 = - x + 2
Or, y = - x + 2 + 2
Or, y = - x + 4
Hence, The equation of line passing through point (2 , 2) and perpendicular to line y = x is y = - x + 4 . Answer
Answer:
a) 20.16; b) 20.49 and 21.51
Step-by-step explanation:
We use z scores for each of these. The formula for a z score is
.
For part a, we want the 20th percentile; this means we want 20% of the data to be lower than this. We find the value in the cells of the z table that are the closest to 0.20 as we can get; this is 0.2005, which corresponds with a z score of -0.84.
Using this, 21 as the mean and 1 as the standard deviation,
-0.84 = (X-21)/1
-0.84 = X-21
Add 21 to each side:
-0.84+21 = X-21+21
20.16 = X
For part b, we want the middle 39%. This means we want 39/2 = 19.5% above the mean and 19.5% below the mean; this means we want
50-19.5 = 30.5% = 0.305 and
50+19.5 = 69.5% = 0.695.
Looking these values up in the cells of the z table, we find those exact values; 0.305 corresponds with z = -0.51 and 0.695 corresponds with z = 0.51:
-0.51 = (X-21)/1
-0.51 = X-21
Add 21 to each side:
-0.51+21 = X-21+21
20.49 = X
0.51 = (X-21)/1
0.51 = X-21
Add 21 to each side:
0.51+21 = X-21+21
21.51 = X
Answer:
Step-by-step explanation:
Given the ratio
5 m : 20 m ← divide both parts by 5
= 1 : 4
= ← as a fraction in simplest form