Answer:
69.3 mi
Step-by-step explanation:
Let x represent the distance of the ship from its original position.
x²= 40² + 35² -2(40)(35)cos(135)


x= 69.3 mi
Answer:
You have to multiply the denorminator to both sides in order to make x the subject :


The costume designer should use 1/8 of the fabric dedicated to sashes for each dress.
1748 people are expected to stop at the gift shop out of 2300.
Step-by-step explanation:
Given,
Number of random sampled people = 350
Number of people who stopped at shop = 266
Percentage = 
Percentage = 
Therefore,
76% people would stop at the gift stop.
Number of people = 2300
Expected number = 76% of total
Expected number = 
Expected number = 1748
1748 people are expected to stop at the gift shop out of 2300.
Answer:
808
Step-by-step explanation:
The volume of the initial cylindrical metal must be equal to the total volume of the cubes.
Let the number of cubes made be x. Therefore:

where
volume of the cylinder
volume of each cube
Each of the cubes have sides of length 3 cm.
The volume of a cube is given as:

where L = length of side of cube
Therefore, the volume of each cube is:

The volume of a cylinder is given as:

where r = radius
h = height of the cylinder
The volume of the cylinder is:

Therefore:
21823.55 = 27 * x
=> x = 21823.55 / 27
x = 808.27
Since the number of cubes can only be a whole number, the number of cubes that will be made is 808.