Answer:
BD = 8.5 units
Step-by-step explanation:
From the figure attached,
ΔABC and ΔADB are the right triangles.
By applying mean proportional theorem,

BD² = AD × CD
BD² = 6 × 12
BD = √72
BD = 6√2
= 8.485
BD ≈ 8.5 units
Therefore, measure of segment BD will be 8.5 units.
The amplitude of the function you use as a model should be equal to <span>d. the radius of the Ferris wheel. The amplitude should be half the difference between the highest (maximum) and lowest (minimum) points which is half of the diameter of the circle. It is known that half of the diameter is the radius of a circle.</span>
Answer:
Is there only one coordinate point? is that all the information you got?
According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so
You start with: (assuming x equals the cost to enter and y the cost of going on the rollercoasters.)
x+5y=35
x+11y=59. Multiply the top equation by -1, and subtract the equations, giving you -6y=-24, divide by -6 into both sides of the equation, to get y=4. Now replace y in one of the original equations (I recommend x+5y=35) and solve for x, giving you x=15
The cost for entering is 15 dollars, while each coaster is 4 dollars more. You could simplify this by changing y into x and making it slope-intercept form, to track your cost. y=4x+15, so it has a slope of 4, and a y-intercept of 15. This answer should give you a good grade on a test.