Answer:
x=55
Step-by-step explanation:
Ok I'm not sure about the theorem I thought it was just corresponding angles theorem but to get the x value set up an equation with your given info that is equal to 120.
2x+10=120
Subtract 10 from both sides.
2x=110
Divide both sides by 2.
x=55
Cos(theta)=-0.96 <0
=>
theta is either in the 2nd or third quadrant.
cos(theta)=-0.96
=>
sec(theta)=1/cos(theta)=-1/0.96 <0
Given sec(theta)(sin(theta)>0
=> cos(theta)sin(theta)>0
=> cos(theta) and sin(theta) have the same sign,
=> sin(theta)<0
=>
theta is in the third quadrant. => tan(theta)>0
Given cos(theta)=-0.96
=>
|sin(theta)|=sqrt(1-(-0.96)^2)=sqrt(0.0784)=0.28
=> sin(theta)=-0.28
Finally,
tan(theta)=sin(theta)/cos(theta)=-0.28/-0.96
=7/24
=0.29167 (to the fifth decimal place)
Answer:
120
Step-by-step explanation:
If Sylvia can choose one of each class, then there are 4 ways she can choose the math class, 2 ways to choose the science class, 3 ways to choose the language class, and 5 ways to choose the art class.
Multiplying these, 4*2*3*5 = 120
Note: If you are asking a differently worded question please elaborate and message me
Step-by-step explanation:
We can find the maximum profit by taking the derivative of the profit and then solving for the widget price <em>x</em> that will maximize it. It is done by equating the derivative to zero:
Solving for x, we get
By setting the widget price to $50, the company can maximize their profits. To find this maximum profit, substitute the value of x into the equation for the profit:
