Answer:
x = 16√3
y = 8√3
Step-by-step explanation:
First, to figure out x, put the side we already know (24) over the cosine of the angle we know (30).
x = 24/cos(30)
<em>(cos(30) is the same as √3/2)</em>
x = 24/√3/2
<em>Step 1: Multiply by 2/√3</em>
x = (24 * 2)/√3
<em>Step 2: Rationalize the denominator by multiplying by √3</em>
x = √3(24 * 2)/√3 * √3
<em>Step 3: √3 squared is 3.</em>
√3(24 * 2)/3
<em>Step 4: Multiply 24 by 2 to get 48.</em>
x = √3(48)/3
<em>Divide √3(48) by 3 to get 16√3</em>
x = 16√3
Before we figure out y, we need to find you what 16√3 squared is.
((16(√3))²
<em>Step 1: Expand the above equation.</em>
16²(√3)²
<em>Step 2: Square 16 to get 256.</em>
256(√3)²
<em>Step 3: √3 squared is 3.</em>
256(3)
<em>Step 4: Multiply 256 by 3 to get 768.</em>
768
Now, subtract 576 (24 squared) from 768 to get 192. Find the square root of that, which is 8√3. (192 = 8² * 3; rewrite as √8²√3, then take the square root of 8²
4a^4 -2b^2 +40
a=2
b=7
4(2)^4 -2(7)^2 +40
PEMDAS is what your gonna use to solve this you go from right to left
First is P which is parentheses which is none
second is E which stands for exponents
4(32)-2(49)+40
now MD multiply or divide
128-98+40
now add or subtract
30+40
last one
70 this is your answer i hope
The formula for standard deviation is in attachment the mean (or average is subtracted from each data sample then squared, then summed up for all data samples, then divided by the number of samples, then finally the square root is taken.
The first row of data will have a standard deviation of 0.
The second row of numbers will have a low standard deviation because the differences between the sample data values are low ( <10).
The third row of number will have a somewhat larger standard because of the spread of the numbers.
The last row will have a slightly smaller standard deviation that the 3rd row because of the zero's
What smaller number can you get other than 0?
The first row of data has a 0 or smallest standard deviation
The equation of constant of proportionality will be y = 2.5x.
Given A 2-column table with 3 rows. Column 1 has entries 2, 4, 5. Column 2 has entries 5, 10, 12.5.
Equation of two variables look like ax+by=c. It can be a linear equation,quadratic equation,cubic equation.
Equation from two points can be found out by putting the values of points in the formula given below:
in which 
are the end points of the line.
Equation of constant proportionality looks like:
k=y/x
in which k is slope which is to be find out according to the same formula as we find in the equation of line.
Slope from (2,5),(4,10) is (10-5/4-2)
=5/2
=2.5
Put the value of k=2.5 in formula of slope.
2.5=y/x
2.5x=y
y=2.5x.
Hence the equation of constant of proportionality is y=2.5x.
Learn more about equation at brainly.com/question/2972832
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