value is 
. Correct option is D) .
<u>Step-by-step explanation:</u>
Here we have , expression to evaluate:
⇒ 
⇒ 
We know that , 
, putting value in equation
⇒ 
⇒ 
⇒ 
⇒
Therefore , value is . Correct option is D)
Answer:
-6.8
Step-by-step explanation:
it is closer to 0 and so it is more than the -14.2
X is the radius of the slice. So we must find the equation of the side of the cone.
y=mx+b, so now we must use two points to solve for the slope, or "m".
m=(y2-y1)/(x2-x1)
m=(0-15)/(5-0)
m=-15/5
m=-3 so our line so far is:
y=-3x+b, b=y-intercept=value of y when x=0, which we can see is 15 ft so:
y=-3x+15
Now the radius is x, so we must solve for x from the equation above...
-3x+15=y subtract 15 from both sides
-3x=y-15 divide both sides by -3
x=(15-y)/3
And area of this circle is:
A=πx^2, and using x found above:
A=(π/9)(15-y)^2
A=(π/9)(225-30y+y^2), so when y=6 ft
A=(π/9)(225-30*6+6^2)
A=(π/9)(81)
A=9π or if we let π=pi
A=9pi ft^2
Answer:
tan(θ) = 0, 0.577, -0.577
Step-by-step explanation:
3tan³(θ) - tan(θ) = 0
tan(θ)(3tan²(θ) - 1) = 0
tan(θ) = 0
tan²(θ) = ⅓ tan(θ) = +/- sqrt(⅓)
tan(θ) = 0, sqrt(⅓), -sqrt(⅓)
tan(θ) = 0, 0.577, -0.577
To find θ values, domain is required
x=2
y=-2
you can get x by itself and then plug what x equals into the second equation to figure out what y equals then plug it back into the first equation.
