ANSWER
EXPLANATION
The given angle is 870°.
870°-360°-360°=150°
This means that:
870° is coterminal with 150°, hence its terminal side is in the second quadrant.
It makes an acute angle of 30° with the x-axis.
Note that cotangent is negative in the second quadrant,
Hence,
The first option is correct.
She will have $57 back because the ticket are buy one get one free and she has 7 friends so for 3 tickets that u buy 6 of your friend get to go and then thei is still one more friend so you have to buy one more ticket so 10.75*3=32.25
and 32.25+10.75=43 and 100-43=57
60 children tickets and 190 adult tickets were sold.
Step-by-step explanation:
Let the no. of adult tickets sold be 'a'
Let the no. of children tickets sold be 'c'
Total tickets sold = 250
Cost of 1 children ticket = $2.5
Cost of 1 adult ticket = $4
Total money collected= $910
Given that,
a + c = 250
a = 250 - c
4a + 2.5c = 910
Substitute a value
4(250 - c) + 2.5c = 910
1000 - 4c + 2.5c = 910
1000 - 1.5c = 910
-1. 5c = -90
1.5c = 90
c = 90/1.5
c = 60
a + c = 250
a + 60 = 250
a = 190
(5x+3) is the width, its factors form is (5x+3)(3x-5)
Answer:
x = 1
Step-by-step explanation:
8 -(x+5) = 5x - 3
-(x+5) ---> -1 (x +5) = -x - 5
8 - x - 5 = 5x -3 8 - 5 = 3
-x + 3 = 5x - 3
+x +x
3 = 6x - 3
+3 +3
6 = 6x
/6 /6
<u>x = 1</u>
