To get the radius we proceed as follows:
area=θ/360πr²
area=40 sq. units
θ=110°
thus the value of r will be:
40=110/360πr²
r²=40(110/360*π)
r²=41.66966
r=6.4552
Answer:
78i+52j
Step-by-step explanation:
8(9i+2j)-6(-i-6j)
72i+16j+6i+36j
=78i+52j
Extract the normal vectors from the given planes:


(which are unique up to their signs, meaning either
or
are valid choices for the normal vector)
The third plane must be perpendicular to both these given planes, which means it would be parallel to both
and
, which in turn means its own normal vector
should be perpendicular to both
and
.
Enter the cross product:

or (4, 5, 3), which also works.
The given plane passes through (-1, 1, 4), so its equation is

Simplify:



The answer is D because the median is the midpoint of the distributed numbers
Answer:
28.9
Step-by-step explanation:
cosG=
hypotenuse
adjacent
=
31
x
\cos 21=\frac{x}{31}
cos21=
31
x
31\cos 21=x
31cos21=x
x=28.941\approx \mathbf{28.9}\text{ feet}
x=28.941≈28.9 feet