[9tan(θ) * 9cot(θ)] / 9sec(θ)
First cancel out the 9's:
tan(θ)cot(θ)/sec(θ)
Recall the following trig identities:
tan = sin/cos
cot = cos/sin
sec = 1/cos
Thus, we can rewrite the expression as:
[ (Sin(θ)/cos(θ)) *(cos(θ)/sin(θ)) ] / (1/cos(θ))
In the numerator, the sine's and cosine's cancel each other out:
1 / (1/cos(θ))
which we can rewrite as cos(θ).
Answer:
435.8 feet
Step-by-step explanation:
law of sines:
*sin 90°/1 = sin 35°/250
cross-multiply to get:
x·sin35° = 250
x = 250/sin35°
x = 435.8
*we can assume the ocean surface and the reef 250 feet below forms a 90° angle
Answer:
hello :
8(3/4a)−8 = 24/4a - 8 = 6/a -8 = (6-8a)/a
1) =total seats =32560
give away tickets=4500
amount of each ticket=$9.50 each
to get the remaining ticket you subtract give away tickets from total seats
=32560-4500 =28060
remaining tickets are=28060
so you multiply remaining tickets by the amount they sold each of the tickets
=28060×$9.50 =$266570
so the answer is $266570
2) paperback book is sold for = 25¢ each
hardcover book is sold for=$1.25 each
total number of the paperback book = 54
total number of the hardcover book =163
so you need to multiply paperback book by the amount it sold each and you still do the to hardcover book
=25¢×54=$13.5
=$1.25×163=$203.75
then we add the the total together =
=$203.75+$13.5= $217.25
so the answer is $217.25
3)$14.50 per hour if she works for 35hours
she gains extra $1.5per hour if she works 48 hours
we are going to subtract 35 hours from 48 hours to get the extra time she worked
=48-35= 13
so we multiply 13 by $1.5 =$19.5
so we multiply 14.50by 35= $507.5
so we add = $507.5+$19.5= $527
so the answer is $527
4) airfare is $398.60
her room is $115.70 per night ×2
cab =$40
add up =$398.60+$231.4+$40=$670.00
so the answer is $670.00
I hope this helps you
Right now?????????????????????