Answer:
The values of x is -30 degrees and undefined
None of these values fall within the given range
Thus, no value within the given range is the solution to the equation
Step-by-step explanation:
Here, we want to find the value of x that works for the equation in the selected range
2cot^2x = -3csc x
Mathematically, from trigonometry;
cot^2x = csc^2x - 1
Substitute this above
2(csc^2x - 1)= -3csc x
let csc x = b
2(b^2-1) = -3b
2b^2 - 2 + 3b = 0
2b^2 + 3b - 2 = 0
2b^2 + 4b - b - 2 = 0
2b(b+ 2) - 1( b + 2) = 0
(2b-1)(b + 2) = 0
2b = 1
b = -2
b = 1/2 = 0.5
or b = -2
Recall;
csc x = b
x = csc^-1 b
x = csc^-1 0.5
x = undefined
Secondly;
b = -2
x = csc^-1 (-2)
x = -30 degrees
As we can see , between the points
0 ≤ x < 360
None of our answers fall in these range
Answer:
80000/0.0004 = 2'000'000'000 or 2 x 10^-9
8*10^4 = 80'000
4*10^-5 = 0.00004
Step-by-step explanation:
Answer:
- motorcycles: 20
- vans: 25
- cars: 135
Step-by-step explanation:
There are 3 car spaces for each non-car space, so the number of car spaces is 3/4 of the total: (3/4)×180 = 135.
The number of motorcycle spaces is half of 5 less than the remainder, so is ...
(180 -135-5)/2 = 20
and van spaces are 5 more than that: 25.
There are 20 motorcycle spaces, 25 van spaces, and 135 car spaces.
Answer:
Stationery section will be 4 feet wide.
Step-by-step explanation:
Total area of bookstore = 288 sq ft
Area to be devoted to stationery = 
of total area = 
Length of stationery section = 12 ft
To find:
Width of stationery section = ?
Solution:
First of all, let us have a look at the area of rectangle:
Here, we are given the length for stationery section and area of stationery section has been calculated above.
And we have to find the Width of stationery section.
So, let us put the two values to find the third value.
So, the answer is:
Stationery section will be 4 feet wide.
