Let h represent height of mast.
We have been given that a from the top of a mast on a sailboat is attached to a point 19 feet from the mast. The rope is 28 feet long. We are asked to find the height of the mast.
The mast will form a right triangle with rope and sailboat as shown in the attachment.
Now we will use Pythagoras theorem to solve for h as:
Now we will take positive square root of both sides as:
Upon rounding to nearest tenth of a foot, we will get:
Therefore, the mast is approximately 20.6 feet tall.
Answer:
30
Step-by-step explanation:
30 is the smallest number that all of the numbers divide into evenly.
30 ÷ 2 = 15
30 ÷ 10 = 3
30 ÷ 6 = 5
hope this helped!
Marcario should use 4 pounds of macadamia nuts and 8 pounds of almonds.
Explanation
given
cost of macadamia nuts per pound=$9
cost of almond nuts per pound=$5.25
cost of the mixture per pound=$6.5
total pounds of the mixture to be made=12
let the pounds of macadamia nuts=x
pounds of almond nuts=y
total pounds of nuts=x+y=12
solving (1) and (2)
x=4
y=8
Answer:
255.75
Step-by-step explanation:
multiply them all together
31/2*3*11/2