Each sundae was 4 dollars. It was 3 of her friends and herself which make 4 people.
Answer:
125
Step-by-step explanation:
Steps to Solving the Problem
So let's say you have five friends who who are each going to pay you five dollars for the next five days. You can figure out how much money you will receive by calculating five cubed or five to the third power. This will tell us how much money you will get because you will multiply 5 by 5 by 5 or 5 cubed.
To start, you need to turn words into numbers by figuring out the base and exponent. An exponent is the number after the ^ which tells you how many times to multiply the base number by itself. The base number comes before the ^. When five is cubed, five is the base number which will show up before the ^.
Three is the exponent and will be the number after the ^. We know three is the exponent because of the word 'cubed,' which always represents the number three.
We can write out five cubed as:
5^3
Once the exponent and base are figured out, we need to write out the long version, which shows all the multiplication being done. In this case, the exponent of three tells us to multiply five by itself three times.
5 x 5 x 5
This shows us 5 friends multiplied by $5 multiplied by 5 days.
From here, multiply the numbers out to get the final answer. Multiply two numbers at a time to so you don't make a mistake.
5 x 5 = 25
25 x 5 = 125
Answer: 24.2° SouthWest
<u>Step-by-step explanation:</u>
First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
<u>Perpendicular (x):</u>
cos 35° = adjacent/hypotenuse
cos 35° = x/160
→ x = 160 cos 35°
<u>Angle (θ):</u>
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
θ = arcsin (160 cos 35°/320)
θ = 24.2°
Direction is down (south) and left (west)
Answer:
x = 4
Step-by-step explanation:
Given
= 
( cross- multiply )
3x = 12 ( divide both sides by 3 )
x = 4
