Answer:
Option C is true.
Step-by-step explanation:
See the attached diagram.
Since MN is a diameter of the circle at P, so it will always make a right angle at a point on the circumference of the circle.
Therefore, ∠ MLN = 90° as L is a point on the circumference.
Now, given that LM = 2x and LN = 3x, then we have to find MN.
So, applying Pythagoras Theorem, MN² = LM² + LN²
⇒ MN² = 4x² + 9x² = 13x²
⇒ MN = x√13
Therefore, option C is true. (Answer)
To round to the nearest ten thousand, look at the number in that place. This number is 8. Now look at the number after it. It is less than five so keep the number as it is. This number rounded would be 780,000.
The answer should be number two
From the given scenario above, the sum of x and y should be at most 600. That is presented in the inequality,
x + y ≤ 600
Then, for their income from the sales,
5x + 7y ≥ 3500
We solve the values of x and y in the system of inequalities by substituting first equal sign to both symbols, giving us with values of x and y equal to 350 and 250, respectively.
b. It is still possible for the club to sell enough additional tickets to meet their expenses. Because by selling the remaining 270 tickets for $7, they will earn $1890. Add this to (330)($5), we get an answer of $3540.
