9514 1404 393
Answer:
-2cos²(x) +3cos(x) -1
Step-by-step explanation:
Use the "Pythagorean identity" to replace sin²(x).
sin²(x) +cos²(x) = 1
Then ...
2sin²(x) +3cos(x) -3 = 2(1 -cos²(x)) +3cos(x) -3
= -2cos²(x) +3cos(x) -1
Answer:
Step-by-step explanation:
Given angle is 110°
Now,
![4=2\,\,and\,\,4=5\,\,;[vertical\,\,angle\,\,and\,\,corresponding\,\,angle\,\,respectively ]](https://tex.z-dn.net/?f=4%3D2%5C%2C%5C%2Cand%5C%2C%5C%2C4%3D5%5C%2C%5C%2C%3B%5Bvertical%5C%2C%5C%2Cangle%5C%2C%5C%2Cand%5C%2C%5C%2Ccorresponding%5C%2C%5C%2Cangle%5C%2C%5C%2Crespectively%20%5D)
From the figure,
![4=110^{0}\,\,;[alternate\,\,angle]](https://tex.z-dn.net/?f=4%3D110%5E%7B0%7D%5C%2C%5C%2C%3B%5Balternate%5C%2C%5C%2Cangle%5D)
And, as 1,2,3,4 are vertical angles and 2 = 4 = 110°
1 = 3 = 180° - 110° = 70°
Hope you have understood this.....
ask me if you have any confusion.....
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The steps to use to construct a frequency distribution table using sturge’s approximation is as below.
<h3>How to construct a frequency distribution table?</h3>
The steps to construct a frequency distribution table using Sturge's approximation are as follows;
Step 1: Find the range of the data: This is simply finding the difference between the largest and the smallest values.
Step 2; Take a decision on the approximate number of classes in which the given data are to be grouped. The formula for this is;
K = 1 + 3.322logN
where;
K= Number of classes
logN = Logarithm of the total number of observations.
Step 3; Determine the approximate class interval size: This is obtained by dividing the range of data by the number of classes and is denoted by h class interval size
Step 4; Locate the starting point: The lower class limit should take care of the smallest value in the raw data.
Step 5; Identify the remaining class boundaries: When you have gotten the lowest class boundary, then you can add the class interval size to the lower class boundary to get the upper class boundary.
Step 6; Distribute the data into respective classes:
Read more about frequency distribution table at; brainly.com/question/27820465
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I belive this is the answer
x³ = 27/125; and
x = 3/5.
explanation:
Reducing the voltage 3 times would result in multiplying the unknown voltage, x, by itself 3 times; this gives us
x³.
The current voltage is 27/125; this gives us the equation
x³ = 27/125.
To solve this, take the cubed root of both sides:
∛(x³) = ∛(27/125)
x = (∛27)/(∛125)
x = (∛(3*3*3))/(∛(5*5*5))
x = 3/5
