Answer:
m∠ MNL = 78º
Step-by-step explanation:
<u>Arcs meassures </u>
mML = (11x - 5)º
mJK = (4x + 26)°
<u>Angle meassure</u>
m∠MNL = (10 x – 12)º
______________________
angle measure = average of arcs
m∠MNL = (mML+ mJK)/2
Replacing
(10x – 12)º = ((11x - 5)º + (4x + 26)° )/ 2
10x -12 = (15x + 21 )/2
10x - 7.5x = 10.5 + 12
2.5x = 22.5
x= 9
m∠MNL = (10 x – 12)º
= 90 - 12
= 78º
Answer:
see explanation
Step-by-step explanation:
The x- intercept is the value of x where the line crosses the x- axis.
The x- intercept is (0.3, 0)
The y- intercept is the value of y where the line crosses the y- axis
The y- intercept is (0, 0.4)
(a) First find the intersections of

and

:

So the area of

is given by

If you're not familiar with the error function

, then you will not be able to find an exact answer. Fortunately, I see this is a question on a calculator based exam, so you can use whatever built-in function you have on your calculator to evaluate the integral. You should get something around 0.5141.
(b) Find the intersections of the line

with

.

So the area of

is given by


which is approximately 1.546.
(c) The easiest method for finding the volume of the solid of revolution is via the disk method. Each cross-section of the solid is a circle with radius perpendicular to the x-axis, determined by the vertical distance from the curve

and the line

, or

. The area of any such circle is

times the square of its radius. Since the curve intersects the axis of revolution at

and

, the volume would be given by
Answer:
you want to follow PEMDAS so you would multiply 27 by 1/3 to get 81.003, which you would round to 81, then you would multiply 8 to the third power and you would get 512.
Step-by-step explanation:
27(1/3)^3
81^3
512
Can write 3x or 3(x) or 3•x