Answer:
The answer is C.
Step-by-step explanation:
Hit 'em with the Law of Sines.
sin(A)/a = sin(B)/b.
Let's say x is equal to "A", thus 5 is "a".
sin(x)/5 = sin(B)/b.
We could go for the obvious choice for "B", which would be the 90 degrees shown. To solve for the hypotenuse which will be "b", let's use the Pythagorean Theorem:
a^2 + b^2 = c^2
5^2 + 20^2 = c^2
25 + 400 = 425
sqrt(425) = about 20.6, which we can now substitute "b" with.
sin(x)/5 = sin(90)/20.6
sin(x)/5 = 1/20.6
sin(x)/5 = 0.04854...
sin(x) = 0.2427...
You can plug in sin^-1(0.2427) into your calculator, and you should end up with something like 14.047... which equates to answer choice C.
31.62
You use pythagorean theorem so 30 is legA and 10 is legB so 20^2+10^2= square root legC which is 31.62
The answer is a. $11 bc you divide the amount made by the hours worked
Answer:
Step-by-step explanation:
= Mass flow rate of water = 320 kg/s
= Mass of water on the door
= Time
= Velocity of water on the door = 20 m/s
Force is given by
The average force is exerted by the stream of water is .
Answer:
Ribbon can't be enough
Step-by-step explanation:
Markin is making a flag shaped like a square. Each side measures 13 m. He wants to add ribbon along the edges. He has 48 m of ribbon. Does he have enough ribbon? If it is not enough,how much more ribbon needed?
Given :
Side length of square shaped flag = 13 m
Length of ribbon markin has to add along edges = 48 m
To know if the ribbon will enough ; we obtain the perimeter of the square shaped flag ;
4 * side length
4 * 13 = 52 meters
52 > 48
Since the perimeter is greater than the length of ribbon, then ribbon can't be enough