Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.
So if D is the diameter and h is the height of the conical pile then we can write:
D=3h
We know that diameter = 2r, where r is the radius
2r=3h
Volume of conical pile is given by formula
Given that volume is 1110 cubic feet.
Now plug the values of Volume and r into equation of volume
take cube root of both sides
7.78103342467=h
Hence height is approx 7.78 feet.
Answer:
31
Step-by-step explanation:
Answer:
x = 30°.
Step-by-step explanation:
The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.
The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.
The largest triangle includes three angles:
- The angle with the center of the circle as its vertice: 60°;
- The right angle due to the tangent to the circle: 90°;
- The angle x°.
What is the value of x?
The three interior angles of a triangle add up to 180°. As a result,
60° + 90° + x° = 180°
x = 180 - 90 - 60 = 30.
Answer
one answer can be x = 30
Step-by-step explanation:
triangle needs to be 180 so if xy are the shortest they can be equal so z can be 120
