Supplementary angles add up to 180°
Angle y is the large angle: y= 5x+6
180= x+y
180= (5x+6) + x
180=6x+6
174=6x
x=29
180= y+29
y=151°
Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t
Answer:
33.33 percent are not riding the bus
Step-by-step explanation:
The question is incomplete:
James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20 what is the total amount james has in quarters?
a. $10.00
b. $6.20
c.$15.50
d.$25.00
Answer:
d.$25.00
Step-by-step explanation:
With the information provided, you can write the following equations given that dimes are equal to 0.10 and quarters to 0.25 to determine the number of dimes and quarters that James has:
x+y=162 (1)
0.10x+0.25y=31.20 (2), where:
x is the number of dimes
y is the number of quarters
First, you can solve for x in (1):
x=162-y (3)
Then, you have to replace (3) in (2) and solve for y:
0.10(162-y)+0.25y=31.20
16.2-0.10y+0.25y=31.20
0.15y=31.20-16.2
0.15y=15
y=15/0.15
y=100
Finally, you have to replace the value of y in (3) to find x:
x=162-100
x=62
Now, you know that James has 100 quarters and you can multiply this number for the value of a quarter to find the amount James has in quarters:
100*0.25=25
According to this, the answer is that James has $25 in quarters.
Answer:
y - 1 = 2/3(x - 1).
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
y = 2/3x + 1/3 which gives the slope m = 2/3.
We can now find a point on the line by putting x = 1 say then find y:
y = 2/3(1) + 1/3 = 2/3 + 1/3 = 1 so the point is (1, 1).
(x1, y1) = (1, 1)
So the answer is ;
y - 1 = 2/3(x - 1).
