Answer:
See below
Step-by-step explanation:
3. What are two ways that a vector can be represented?
Considering a vector
in some vector space
we have

This is the component form. I don't like that way. It is probably used in high school, but
is preferable because the inner product on
is defined to be

You can also write it using linear form such as 
4.
For this question, I think you meant
vectors


Once

Considering that the dot product is

and the norm of
is 
and the norm of
is 
Thus,


Answer: 800pi inches
=======================================
Explanation:
The formula to find the circumference of a circle is
C = pi*d
where
C = distance around the circle (aka circumference)
pi = 3.14 approximately
d = diameter
We know that the diameter of the wheel is d = 8, so
C = pi*d
C = pi*8
C = 8pi
is the circumference of the wheel
One full rotation will have the wheel cover a distance of 8pi inches. Imagine that wet paint is on the outer surface of the wheel. If the wheel is rolled out in a straight line, then the wet paint would cover a linear distance of 8pi inches along the flat ground. This is one full rotation, so 100 rotations covers 100*8pi = 800pi inches
Note: if we use pi = 3.14 as the approximation, then the hamster ran approximately 800*pi = 800*3.14 = 2512 inches if the wheel could move
Answer:
-3.274
Step-by-step explanation:
attached
Hopes this helps
{please mark me brainiest}
Answer:
82°
Step-by-step explanation:
m÷ BAD + m÷ BCD = 180°
98° + m÷BCD = 180°
m÷BCD = 180° - 98°= <u> </u><u>8</u><u>2</u>°
X + y = 40.....multiply by -4
4x + 6y = 180
-------------------
-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===
x = 30