Multiply each term by a^2b^2:-
b^2y^2 + a^2x^2 = a^2b^2
subtract a^2x^2 from both sides
b^2y^2 = a^2b^2 - a^2x^2
Now divide both sides by b^2
y^2 = a^2 - a^2x^2 / b^2 = a^2 (1 - x^2/b^2)
take positive square root ( because y > 0)
y = a sqrt(1 - x^2/b^2)
The correct answer is 60⁰.
Step-by-step explanation:
- An angle whose measure is 60⁰ is rotated more than halfway around a circle.
- Since, we have to find the measure of angle.
- As we already know that the angle of rotation about a circle is 360° therefore we have to find more than halfway of this angle.
- Considering that an angle is rotated more than halfway around a circle be
- Multiplying with 360⁰
- Therefore, it can show as ×360⁰
- Which gives the result to be 60⁰
- Hence, when an angle is measured 60⁰, it is rotating more than halfway around a circle.
- A single rotation around a circle is equal to 360 degrees.
- The measurement of an angle shows the magnitude and direction of the rotation of the angle from its initial position to the final position.
- If the rotation is in a counterclockwise direction, it has an angle with positive measure. If the rotation is clockwise, it has an angle which gives negative measure.
Answer:
The regular price of the balls is $8
Step-by-step explanation:
The sporting goods store sales promotion is as follows;
The price of the third ball after buying two balls at regular price = $1.00
The price of the number of balls Coach John pays for the balls he bought = $136
To buy 24 balls, we have;
2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1
Therefore;
The number of balls bought at regular price = The sum of the 2s = 16 balls
The number of balls bought for $1 = 24 - 16 = 8 balls
Let x represent the regular price of the balls, we have;
16 × x + 8 = 136
16·x = 138 - 8 = 128
x = 128/16 = 8
The regular price of the balls = x = $8.
20.09 → only one with decimal in the hundreds, not tens
The missing side length should be 22. Add 13.5 to 14.5 and you should get 28. Subtract 28 from the total perimeter (50) to get 22.