Answer:
y= (C -Ax)/B
x= (C -By)/A
Step-by-step explanation:
Ax+ By = C
solve for y
Subtract AX from each side
Ax+ By - Ax = C-Ax
By = C -Ax
Divide by B
By /B= (C -Ax)/B
y= (C -Ax)/B
solve for x
Subtract By from each side
Ax+ By - By = C-By
Ax = C -By
Divide by A
Ax/A= (C -By)/A
x= (C -By)/A
Let the third side = x.
The sum of any two sides must be greater than the third side
14 + 9 > x
23 > x
14 + x > 9
x > -5
9 + x > 14
x > 5
So 5 < x < 23
Answer:
w(C(L))= 0.25 |L - 105|
Step-by-step explanation:
you plug in C(L) into L in w(L)
Answer:
Part 1)
Bob's mistake was to have used the cosine instead of the sine
The measure of the missing angle is 
Part 2) The surface area of the pyramid is 
Step-by-step explanation:
Part 1)
Let
x----> the missing angle
we know that
In the right triangle o the figure
The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle


Bob's mistake was to have used the cosine instead of the sine
Part 2) we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
![SA=b^{2}+4[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
where
b is the length side of the square
h is the height of the triangular lateral face
In this problem
-------> by an 45° angle
so



Find the value of b

Find the surface area
![SA=12^{2}+4[\frac{1}{2}(12)(6)]=288\ cm^{2}](https://tex.z-dn.net/?f=SA%3D12%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%2812%29%286%29%5D%3D288%5C%20cm%5E%7B2%7D)
You will have $5,525.39 after 5 years.
Because the interest is compounded monthly, you need to convert the interest rate and the term of investment to a monthly basis.
Monthly interest = 2% / 12 = 2/12%
Term of investment = 5 x 12 = 60 months
To find the amount you will have in 5 years, use the formula:
<em>Future value = Amount * ( 1 + interest) ^ term of investment </em>
= 5,000 x ( 1 + 2/12%)⁶⁰
= $5,525.39
In conclusion, your investment will have compounded to $5,525.39 in 5 years.
<em>Find out more at brainly.com/question/3473483.</em>