3sinx+1=sinx
2sinx+1=0
2sinx=-1
sinx=-1/2
x=sin^-1 (1/2) = 30 =

/6 (when finding the inverse, always take the positive value, ignore the negative sign)
x is therefore negative in 3rd and 4th quadrant
Therefore values of x are:
180+30=210 = 7

/6
360-3=330 = 11

/6
The square root of 10 because
sqrt(10) ^2 * 3.14 =
10*3.14 = 31.4
The number of permutations of picking 4 pens from the box is 30.
There are six different unique colored pens in a box.
We have to select four pens from the different unique colored pens.
We have to find in how many different orders the four pens can be selected.
<h3>What is a permutation?</h3>
A permutation is the number of different arrangements of a set of items in a particular definite order.
The formula used for permutation of n items for r selection is:

Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1
We have,
Number of colored pens = 6
n = 6.
Number of pens to be selected = 4
r = 4
Applying the permutation formula.
We get,
= 
= 6! / 4!
=(6x5x4x3x2x1 ) / ( 4x3x2x1)
= 6x5
=30
Thus the number of permutations of picking 4 pens from a total of 6 unique colored pens in the box is 30.
Learn more about permutation here:
brainly.com/question/14767366
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Answer:
3l + 1s
Step-by-step explanation:
Given that:
The expression to represent 50% of the money collected : 0.50(6l + 2s)
Expanding the expression :
0.50(6l + 2s)
(0.50 * 6l) + (0.50 * 2s)
3l + 1s
Hence, the simplified expression is 3l + 1s
A) draw a cube
i) 16cm
ii) 80 cm
b)64 cm
Ok so draw the outline of a cube with 4cm each. There is six sides and the area is just multiplying 4 by 4. So, since the area of each side is 16, and there is 6 sides, the surface area is 80 cm. The volume is just length x width x height (4x4x4) so it’s 64 cm cubed.