To solve for AC in the given inscribed angle we proceed as follows:
An inscribed angle is an angle with its vertex "on" the circle formed by two intersecting chords as in our drawing. Thus here we shall use the formula:
Inscribed Angle=1/2 intercepted Arc
thus
m∠ABC=1/2mAC
thus plugging in our values we shall have:
4x-3.5=1/2(4x+17)
4x-3.5=2x+8.5
solving simplifying and solving for x we obtain
4x-2x=8.5+3.5
2x=12
hence
x=12/2
x=6°
According to the Pythagorean theorem, the square of the hypotenuse (the longest side) of a right-angled triangle equals to the sum of the squares of the other two sides. In this case, the ladder is the hypotenuse, which equals to the distance between the bottom of the ladder and the tree + the distance we want to find (x):
5² + x² = 13²
25 + x² = 169
x² = 144
x = √144 = 12.
The distance between the ground and the top of the ladder is 12 ft.
Answer:
= 160 units
Step-by-step explanation:
Relevant data provided as the situation is below:-
Total available time = 480
Cycle time = 3
According to the given situation, the computation of the daily production rate is shown below:-
Daily production rate is
=
= 160 units
Therefore we have solve the daily production rate to reach the daily production rate.
Answer:
B) 451
Step-by-step explanation:
1) 414 + 125 = 539
2) 539 - 88 = 451
Answer :
⠀
Explanation :
We know,
Where,
- <em>r</em> is the radius of the cylinder. Here, the radius is 4 cm
- <em>h</em> is the height of the cylinder. Here, height is 6 cm
- Here, we will take the value of π as 3.14 approximately .
⠀
Substituting the values in the formula :
⠀
⠀
⠀
⠀
⠀
Therefore,
- The volume of the cylinder is 301.44 cm³ approximately.