We know that
<span>cos(theta) = 1---------> the value of cos is positive
then
angle theta------> </span><span>could be in the first or fourth quadrant
Part 1) find sin theta
sin</span>² theta+cos² theta=1------> sin² theta=1-cos² theta----> 1-1²----> 0
sin theta=0
Part 2) find csc theta
csc theta=1/sin theta
but sin theta =0
therefore
csc theta-------> <span>it does not exist, it is not defined
</span>
Part 3) find sec theta
sec theta=1/cos theta
cos theta=1
so sec theta=1/1----> sec theta=1
Part 4) find cot theta
cot theta=cos theta/sin theta
but sin theta=0
therefore
cot theta-------> it does not exist, it is not defined
Answer:
75 minutes or 1 hr and 15 minutes
Step-by-step explanation:
for history, he studied 2 hrs and 40 minutes....thats a total of 160 minutes
this is 10 minutes more then twice the time he spent on his last exam.
let x represent the time spent on last exam
160 = 2x + 10
160 - 10 = 2x
150 = 2x
150/2 = x
75 = x.......so he spent 75 minutes (or 1 hr and 15 minutes) on his last exam
total length of the boards = 4 1/2 meters
Given:
number of boards = 5
length of each board = 9/10 meters
5 * 9/10 = (5*9)/10 = 45/10
Simplify fraction:
45/10 = 4 5/10 or 4 1/2 meters.
Answer:
cups
Step-by-step explanation:
- 1 pound = 1 3/4 cups
- 1/2 pound = 7/8 cups
- 1 3/4 + 7/8 = 21/8
- 21/8 = 2 5/8
I hope this helps!
Answer:
Banners: 4
Paper lanters: 3
Bags of Balloons: 6
Garlands: 11
Step-by-step explanation:
Banner: 4*5.25= $21
Paper lantern: 6.50*x=?
Balloons: 5*x=?
Garland: 3.50*x=?
Paper lantern: 145.50/6.50= $22.3
22.3/6.50= 3.4 round to 3
3 paper lanterns
Balloons: 145.50/5= $29.1
29.1/5= 5.8 round to 6
6 packs of balloons
Garland: 145.50/3.50= $41.5
41.5/10= 4.15
4.15+7=11.15 round to 11
11 garlands
