Answer: 720
Six friends are going to sit together in a roller coaster car that has six seats in how many different arrangements can they sit
The correct option is D.
Important information:
Two lines are called perpendicular lines if the angle between those lines at the intersection point is 90 degrees.
In option A, the lines are parallel because they have the same direction and slope.
In option B, if we increase the lines, then they can not make a 90-degree angle.
In option C, the lines are not making a 90-degree angle.
In option D, the lines are perpendicular because they are making a 90-degree angle.
Therefore, the correct option is D.
Find out more about 'Perpendicular lines' here:
Answer:To solve the equation 4x + 17/18 - 13x - 2/17x - 32 + x/3 = 7x/12 - x + 16/36, we can follow these steps:
1. Combine like terms on each side of the equation.
On the left side, we have 4x - 13x + x/3. Simplifying this, we get -8x + x/3.
On the right side, we have 7x/12 - x + 16/36. Simplifying this, we get -5x/12 - x + 4/9.
2. Get rid of any fractions by multiplying each term by the least common denominator (LCD).
The LCD of 3, 12, and 36 is 36. Multiply each term on both sides of the equation by 36 to eliminate the fractions.
3. Simplify and combine like terms.
On the left side, we have -8x + x/3, which becomes -24x + x^2/3 after multiplying by 36.
On the right side, we have -5x/12 - x + 4/9, which becomes -15x - 3x + 16 after multiplying by 36.
4. Move all terms to one side of the equation.
Combining like terms, we get -24x + x^2/3 = -18x + 16.
5. Multiply the entire equation by 3 to eliminate the fraction.
This gives us -72x + x^2 = -54x + 48.
6. Move all terms to one side of the equation again.
Combining like terms, we get x^2 + 18x - 48 = 0.
At this point, the equation is a quadratic equation. To solve it, we can either factor or use the quadratic formula.
The answers for this question were:
62.9, 12.6, 25.1, or 125.7
Answer:
12.6
Step-by-step explanation:
The distance covered by the merry-go-round if makes a complete circle (360°) is its circumference:
circumference = 2*π*radius = 2*π*10 = 62.8 ft
This distance corresponds to 360°, for 72°:
62.8 ft / x ft = 360° / 72°
x = (72/360)*62.8
x = 12.6 ft