Answer:
2 cis (7/6 pi)
Step-by-step explanation:
r = sqrt( a^2 + b^2)
r = sqrt (-sqrt(3) )^2 + (-1)^2)
= sqrt(3 +1)
= sqrt(4)
= 2
theta = arctan (b/a)
theta = arctan (-1/-sqrt(3))
theta = 30
but this is in the third quardrant -a and -b
so add 180
theta = 210 degrees
convert this to radians
210 * pi/180 = 210/180 * pi = 21/18 * pi = 7/6 * pi
r cis (theta)
2 cis (7/6 pi)
It should be 9. I hope this helps. If it's not 9 then can u please give me a list of your answers to choose from.
Answer:
fraction of gallon is in each bottle.
Step-by-step explanation:
As per the given condition: G.O is going on a hike in the mountains on a hot summer day he has 4/5 gallon of water that he split into 4 bottles.
⇒ in 4 bottle he has 
gallon of water.
Unit rates defined as when are expressed as a quantity of 1, such as 3 feet per second or 4 miles per hour, then they are called unit rates.
By unit rate definition,
In 1 bottle he has = 
gallon of water.
therefore, the gallon in each bottle in fraction is,
Answer: a) It will be a right triangle with a hypotenuse of 75 and a vertical leg that is 62.
b) The length of the kite string is 75 (given in the problem). However, I believe you are looking for the distance from the spot on the ground beneath the kite to Janet. That is about 42.2 m.
To find the missing distance in the right triangle. You have to use the Pythagorean Theorem. I set it up and solve it below.
a^2 + b^2 = c^2
x^2 + 62^2 = 75^2
x^2 + 3844 = 5625
x^2 = 1781
x = 42.2 (about)
