The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12

8 0

3 years ago

Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary round your resu

Olenka [21]

Answer:

Option A. (-1, 0)

Step-by-step explanation:

In the figure attached,

Circle O is a unit circle (having radius r = 1 unit)

If a point A with central angles = θ, is lying on the circle then the coordinates of the point A will be,

x = r.cosθ

x = 1.cosθ = cosθ

and y = r.sinθ

y = 1.sinθ = sinθ

Therefore, coordinates representing the point A will be (cosθ, sinθ).

As per question the given point A is lying at P (a point having central angle θ = 180°)

Coordinates of point P will be

(x', y') → (cos180°, sin180°)

→ (-1, 0)

Therefore, Option A will be the answer.

3 0

3 years ago

WILL GIVE BRAINLEIST!! How many ounces of pure vinegar must be added to 80 ounces of a 10% solution to make a 25% solution? thx

asambeis [7]

Question 1132387: How many liters of a 10% solution should be mixed with 60L of 25% solution to get 15% solution? = one click in Excel = 120. ANSWER. 120 liters of the 10% solution.

6 0

3 years ago

Elliot had 638 fewer marbles than Ravi had. Ravi then gave 352 marbles to Elliot. Who had more marbles in the end. How many more

irga5000 [103]

Elliot because it said that he had 638 fewer than him the Ravi gave him 352 so that would make Elliot have more

5 0

3 years ago