Answer:
The correct option is D) 43 items.
Step-by-step explanation:
As we know that total given time is ,
,
Out of which cashier spends 40 seconds to process the customer's payment.
So the remaining time = (126 - 40) = 86 secs.
And the remaining time is used to scan the item and so that we can calculate here the no items scan is = (86 ÷ 2) = 43.
Therefore we can say that 43 items are being purchased.
sin^2 x + 4 sinx +3 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
factor the numerator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
cos^2 = 1-sin^2x
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
1- sin^2x 1 - sinx
factor the denominator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
(1-sinx ) (1+sinx) 1 - sinx
cancel the common term (1+sinx) and (sinx +1)
(sinx +3) 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
reorder the first term
3+sinx 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
Answer:
108 in
Step-by-step explanation:
The figures are similar, so if we find a relation of the area and the diagonal in rectangle 1 we can apply it to rectangle 2.
rectangle 1 :
72/x=12
x=6
therefore
72/6=12
rectangle 2:
A/x=18
A/6=18
6*18=108
A=108 in
Hope this helps
~Lalagrl
Find the lateral area of a cylinder with the given measurements. Use 3.14 for pi and round your answer to the nearest tenth.
height: 15 centimeters
radius: 9 centimeters
Question 11 options:
787.3 cm2
1356.5 cm2
847.8 cm2
889.9 cm2
So we know the formula for the lateral area of a cylinder is:
AL=2πrh
now all we have to do is put the given value in place of the correct variable then solve like so:
AL=2*3.14*9*15
AL= 847.8 cm2
so the answer is the third option
hope this helps
~Lalagrl
The total number of chocolates is 15 + 16 + 19 = 50
There are 15 + 16 = 31 [dark chocolates + caramel chocolates]
The probability of picking one of them is 31 / 50.
