Answer:
12.5
Step-by-step explanation: The triangle ABC and its altitude
is represented in the figure below.
<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.
So, because of
, now we have two similar triangles, which means that ratios of corresponding sides are equal:

(1)
This is always true for a right triangle and a altitude drawn to the hypotenuse.
Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

(2)
Substituting (2) into (1):

We want to find f, so:


f = 7.5
The length of
is



The length of the hypotenuse of triangle ABC is 12.5 units.
Answer:
The total golf balls Jack has now in terms of expression is as below

Where a is total number of balls and b is number of balls in each bag.
Step-by-step explanation:
Solution:
let a be the total number of balls and b is the number of balls in each bag.
Number of bags is 3.
So total number of balls before the friend gave is 
Now the friend has given him 6 more golf balls then the total number of balls will become 3b + 6.
Therefore, the required expression is

You wold add both together and then divide by 5 so the equation would be 52+46=98 98/5=19.6 so the answer is 19.6
Answer:
(1) 39 feet
Step-by-step explanation:
Feris wheel moves in a circular pattern. But if you take imaginary horizontal and vertical lines from your location to the Ferris wheel's center, you can wee see this make a triangle. This question is about trigonometry. Horizontal distance is the adjacent side and vertical distance is the opposite side. Your straight line distance to the center is the hypotenuse(45 feet). Then we can solve the question using the sin formula.
sin x = opposite/hypotenuse
sin 120 = vertical distance/ 45 feet
vertical distance = 0.8660 * 45 feet
vertical distance =38.97 feet = 39 feet