Answer: The height is 6.07 meters
Step-by-step Explanation: The distance between the elevator and the bottom of the barn is given as 9 meters. Also for the hay elevator to move bales of hay to the second story of the barn lift it makes an angle of elevation of 34 degrees with the ground. With these we can derive a right angled triangle with the reference angle as 34 degrees, the side facing it which is the height or h (opposite) is yet unknown, and the side between the reference angle and the right angle (adjacent) is 9. We shall apply the trigonometric ratio as follows;
Tan 34 = opposite/adjacent
Tan 34 = h/9
0.6745 = h/9
0.6745 x 9 = h
6.0705 = h
Therefore the approximate height of the barn to the ground is 6.07 meters
Answer:
x = 5.5
Step-by-step explanation:
Given 2 secants intersecting the circle from a point outside the circle then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 14) = 6(6 + 12)
x² + 14x = 6 × 18 = 108 ( subtract 108 from both sides )
x² + 14x - 108 = 0 ← in standard form
with a = 1, b = 14 and c = - 108
Using the quadratic formula to solve for x
x = ( - b ±
) / 2a
= ( - 14 ±
) / 2
= ( - 14 ±
) / 2
= ( - 14 ±
) / 2
x =
or x = 
x = - 19.5 or x = 5.5 ( to 1 dec. place )
However x > 0 ⇒ x = 5.5
Answer:
The amount of money raised
Step-by-step explanation:
The amount of basket balls depends on the money rasied and is therefore dependant, that leaves the money, which is completely independent.
The mode is 4 because it is the number that shows up the most.
B I think hopes this helps