Answer: 5x 5y
Step-by-step explanation: because of the length
Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
Answer:
A.
Step-by-step explanation:
A. City voters were asked about candidates. That seems to be random.
B. A survey about singers took place at a specific concert. Naturally, the people who are there like this singer. It is not random.
C. Customers were asked about food at a pizza shop. Naturally, they like pizza. This is not random.
D. An email survey was sent. Mostly people who own computers will respond. This is not random.
Answer: A.
Answer:
Part B
How does this change in setting affect Miguel? Choose two answers.
A.
Miguel asks his mom if he can transfer to a different middle school.
B.
Miguel becomes a more focused student.
C.
Miguel begins to struggle in his Language Arts class as well.
D.
Miguel makes a new friend.
Step-by-step explanation:
Answer:
Step-by-step explanation:
3x^2 + 2x^2 - 5x + 7x + 6 - 9
5x^2 + 2x - 3