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You said x/20 = 12/16
Multiply each side by 20 : x = 20 x 12/16
= 240 / 16 = 15 .
cos 2x – cosx = 0
------------ (1)
where cos2x = 2cos^2x –
1
equation (1) becomes;
<span>2cos^2x – 1 – cosx = 0 ------------ (2)</span>
Suppose cosx = y, then
equation (2) becomes;
2y^2 – 1 – y = 0
By factorization method;
(2y + 1) x (y – 1) = 0
Where 2y + 1 = 0 or y –
1 = 0
So solving both;
y = -1/2 or 1
As y = cosx
So cosx = -1/2 or 1
The above equation is true only for x = 2/3π, 0, 4/3 π
<span>The solution were find out for interval [0,2 π),
where 2 π is not included in the interval, as the interval is not a closed on
the right side.</span>
Answer:
the number of boxes that would take fill
the storage completely is 6<u>0 boxes.</u>
Step-by-step explanation:
given:
A storage unit has the dimensions 6 ft. x 7 1/2 ft. x 4 1/2 ft.
find:
What number of
1 1/2 ft. x 1 1/2 ft. x 1 1/2 ft. cardboard boxes would it take to completely
fill this storage unit?
Volume of a storage unit = 6 x 7.5 x 4.5
Volume of a storage unit = 202.5 ft³
Volume of a cardboard box = 1.5 x 1.5 x 1.5
Volume of a cardboard box = 3.38 ft³
to get the number of cardboard boxes to fill in the storage unit,
Number of boxes = <u> 202.5 ft³ </u>
3.38 ft³
Number of boxes = 60
therefore,
the number of boxes that would take fill the storage completely is 60 boxes.
Answer:
The domain of this function is [0, infinity ).
Step-by-step explanation:
Here the y-axis is the vertical asymptote. We can therefore deduce that x may never be zero or negative. The domain of this function is [0, infinity ).
I am going to use <em><u>DCVIMS.</u></em>
I would first distribute the parenthesis.
I would combine like terms.
I would put the variables on both sides.
I would do the inverse.
I would put my final answer.
Then substitute to check if it is correct! :D
6(2x−11)+15=3x+12
Simplify both sides of the equation.
6(2x−11)+15=3x+12
Simplify
6(2x−11)+15=3x+12
(6)(2x)+(6)(−11)+15=3x+12 (Distribute)
12x+−66+15=3x+12
(12x)+(−66+15)=3x+12 (Combine Like Terms)
12x+−51=3x+12
12x−51=3x+12
Subtract 3x from both sides.
12x−51−3x=3x+12−3x
9x−51=12
Add 51 to both sides.
9x−51+51=12+51
9x=63
Divide both sides by 9.
9x / 9 = 63 / 9
x=7
Plug in 7 to the orginal equation to make sure your answer is right!
Hope this helped! :D :D