Answer:
B
Step-by-step explanation:
The magnitude of the vector from the origin is 10
The unit vector in of the vector from the origin as (8/10, -6/10
<u>Step-by-step explanation:</u>
<u>1.Finding the magnitude,</u>
we have the formula,
magnitude=√a²+b²
we have the values as a=8 and b=-6
Finding the magnitude we get,
magnitude=√a²+b²
magnitude=√8²+6²
magnitude=√100
magnitude=10
The magnitude of the vector from the origin is 10
<u>2.Finding the unit vector</u>
Divide by the magnitude
Unit vector: (8/10, -6/10)
The unit vector in of the vector from the origin as (8/10, -6/10
Answer:
$20.20
Step-by-step explanation:
First Convert 20% into a decimal, by dividing it by 100
Percent = out of 100
20/100 = 0.2
Now, multiply the decimal (0.2) with the bill amount ($100.99):
0.2*100.99
$20.198 <== *remember, we are using money, so we round to the nearest cent (dime)
$20.20 <== how much tip you want to leave
How much you pay altogether:
(Bill + tip)
100.99 + 20.20
$121.19
Hope this helps!
Answer:
Event 3 -> Event 1 -> Event 4 -> Event 2
Step-by-step explanation:
The probability of choosing a certain pen is the number of that pen in the box over the total number of pens in the box.
So we have that:
Event 1: We have 4 black pen and 20 total pens, so P = 4 / 20 = 1 / 5
Event 2: All pens are black or orange so the probability is 1.
Event 3: We don't have white pens, so the probability is 0.
Event 4: We have 2 black pen and 5 total pens, so P = 2 / 5
Listing from least likely to most likely, we have:
Event 3 -> Event 1 -> Event 4 -> Event 2
Answer:
Fish Tank
Step-by-step explanation:
This of a rectangular prism as a cardboard box. It has rectangles on the top and the bottom. The fish tank is somewhat similar to this so it will be a rectangular prism.