1 radian = 57.3 degrees
60 <span>÷ 57.3 = 1.047
</span>
correct answer: C
Answer:
point slope form is y=mx+b
the equation of the line that goes through (6,4) and (7,2) is y=-2x+16
Answer:
the group rents is 11 person tubes and there is 4 cooler tubes
Step-by-step explanation:
The computation is shown below:
The equation are as follows:
x + y = 15
y = 15 - x
And, the cost of person tube is $20
The cost of the cooler tube is $12.50
The total spending is $270
Now the equation is
20x + 12.50y = 270
Now put the value of y in the above equation
20x + 12.50(15 - x) = 270
20x + 187.50 - 12.50x = 270
20x - 12.50x + 187.50 = 270
7.50x + 187.50 = 270
7.50x = 270 - 187.50
7.50x = 82.50
x= 11
Now put the value of y in any of the equation
y = 15 - 11
= 4
So, the group rents is 11 person tubes and there is 4 cooler tubes
The value of
will be ![-\frac{3}{5}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B5%7D)
<u><em>Explanation</em></u>
Given that,
According to the below diagram,
As,
is in quadrant III , so AB = -3 and BO = -4
Now according to the Pythagorean theorem.....
![AO^2= AB^2+BO^2\\ \\ AO^2= (-3)^2+(-4)^2\\ \\ AO^2= 9+16=25\\ \\ AO=\sqrt{25}=5](https://tex.z-dn.net/?f=AO%5E2%3D%20AB%5E2%2BBO%5E2%5C%5C%20%5C%5C%20AO%5E2%3D%20%28-3%29%5E2%2B%28-4%29%5E2%5C%5C%20%5C%5C%20AO%5E2%3D%209%2B16%3D25%5C%5C%20%5C%5C%20AO%3D%5Csqrt%7B25%7D%3D5)
Thus, ![sin(\theta)= \frac{opposite}{hypotenuse}=\frac{AB}{AO}= -\frac{3}{5}](https://tex.z-dn.net/?f=sin%28%5Ctheta%29%3D%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%3D%5Cfrac%7BAB%7D%7BAO%7D%3D%20-%5Cfrac%7B3%7D%7B5%7D)
Pretty sure that it is the first answer, the one with the back point between 6 & 8