Answer:
y = 167°
Step-by-step explanation:
The vertex of the triangle = 154° ( alternate angle to 154° )
The triangle has 2 equal legs so is isosceles with 2 base angles congruent
base angle = =
= 13°
base angle and y are adjacent angles, lie on straight line AB and sum to 180°
y + 13° = 180° ( subtract 13° from both sides )
y = 167°
Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:
Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:
We know the volume and the radius of the conical container, then we can find "h":
The diameter and height doubled are:
Now the radius is:
And the container capacity is
Then, to compare the capacities, we can divide this new capacity by the original:
Therefore, the container's capacity would be 8 times its original capacity.
Answer:
y=0
Step-by-step explanation:
Definition:An expression is undefined at the value(s) at which the denominator equals zero.
We are to determine the value of y that makes the expression undefined.
We equate the denominator to zero and solve for y.
Therefore, at y=0, the given expression is undefined.