Given: sin(18m-12)=cos(7m+2), find the value of m.
Answers
Answer:
m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or m = 2/3 - (π n_2)/18 for n_2 element Z
Step-by-step explanation:
Solve for m:
-cos(7 m + 2) sin(12 - 18 m) = 0
Multiply both sides by -1:
cos(7 m + 2) sin(12 - 18 m) = 0
Split into two equations:
cos(7 m + 2) = 0 or sin(12 - 18 m) = 0
Take the inverse cosine of both sides:
7 m + 2 = π n_1 + π/2 for n_1 element Z
or sin(12 - 18 m) = 0
Subtract 2 from both sides:
7 m = -2 + π/2 + π n_1 for n_1 element Z
or sin(12 - 18 m) = 0
Divide both sides by 7:
m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or sin(12 - 18 m) = 0
Take the inverse sine of both sides:
m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or 12 - 18 m = π n_2 for n_2 element Z
Subtract 12 from both sides:
m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or -18 m = π n_2 - 12 for n_2 element Z
Divide both sides by -18:
Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z
or m = 2/3 - (π n_2)/18 for n_2 element Z
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sometimes
never
inconclusive
Answers
A quadrilateral sometimes has one pair of parallel sides. Then the correct option is B.
What is a quadrilateral?
The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.
If the quadrilateral has one pair of parallel sides is known as a trapezoid. And if the quadrilateral has two pairs of parallel sides is known as a parallelogram.
If all the angles are congruent then the parallelogram becomes a rectangle. And if all the sides are congruent then the parallelogram becomes a rhombus. If both sides and angles become congruent in the parallelogram then is known as a square.
A quadrilateral sometimes has one pair of parallel sides. Then the correct option is B.
More about the quadrilateral link is given below.
#SPJ2
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Answer:
Part 1) The best choice is Plan A
Part 2) The data is
Step-by-step explanation:
Part 1)
Let
y ----> the cost per month
x ----> the number of GB of data per month
we know that
Plan A
Plan B
Find out which plan is the best choice if he uses five to eight GB of data per month
Plan A
For x=5 GB -----> y=5(5)+30=$55
For x=8 GB -----> y=5(8)+30=$70
so
with Plan A the cost is between $55 and $70 -----> average $62.5
Plan B
For x=5 GB -----> y=2(5)+50=$60
For x=8 GB -----> y=2(8)+50=$66
so
with Plan B the cost is between $60 and $66 ----> average $63
therefore
The best choice is Plan A
Part 2) How much data would Irfan need to use for both plans to cost the same?
we have
y=5x+30 ----> equation A
y=2x+50 ----> equation B
Solve the system of equations by elimination
Subtract equation B from equation A
0=5x-2x+30-50
0=3x-20
3x=20
Convert to mixed number
----> for this data the cost is the same in both plans
Answers
Answer:
30,000 milliliters
Step-by-step explanation:
There are 15 2-liter bottles, so you must get the total number of liters by multiplying 15 and 2 to get 30. Then, because there are 1,000 milliliters per liter, you multiply 30 by 1,000 to get 30,000 milliliters total.
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Answer:
Step-by-step explanation:
I am joyous to assist you anytime.
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Answer:
Residual value of -0.8 means the actual point is 0.8 units below the best fit line.
Step-by-step explanation:
The difference between the observed value of the dependent variable and the predicted value is called the residual.
Mathematically,
where,
e = residual,
y = observed value,
ŷ = predicted value.
When the residual is negative, the data point is below the graph or best fit line.
Residual value of -0.8 means the actual point is 0.8 units below the best fit line. It also means that the actual value is 0.8 lesser than the predicted value.