Answer: The correct answer is Volume Cone = one-third pi t squared k
Step-by-step explanation: The first important detail to note here is that both cylinder and cone have the same base and the same height This implies that when writing out the formula for calculating the volume of either of the two shapes, the radius and the height will be the same number or value.
The volume of a cylinder is given as;
Volume cylinder = pi x r squared x h (that is πr²h)
Also the volume of a cone is given as;
Volume cone = one-third x pi x r squared x h (that is 1/3*πr²h)
However, the variables have been changed such that the radius r is now represented by t while the height h is now represented by k.
Therefore the volume of the cone should now be re-written as;
Volume cone = one-third pi t squared k <em>(that is 1/3 *πt²k)</em>
The postulate that is used in order to prove the congruency of the triangles is the ASA which means (Angle – Side – Angle). The property that is applicable for the congruency of DB to itself is the reflexive property. Therefore, the answer to this item is the second choice.
Hope I helped! :)
To round a number to the nearest hundred, we count two places to the left of the decimal point, or from the last digit if the number is a whole number.
If the second digit from the last digit is upto 5, we add 1 to the preceding digit and we complete the last two numbers with zeros.
Therefore, any number from 11,950 to 12,049, will result to 12,000 when rounded to the nearest hundred.
Answer:
We need a non-included side of one triangle
Step-by-step explanation:
By means of the AAS postulate.
The Angle-Angle-Side postulate (AAS) tells us that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
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Answer:
2r(20r +60) = 80r^2
Step-by-step explanation:
Anna's first investment:
20
Anna's first return:
20r
Anna's second investment:
20r +60
Anna's second return:
r(20r +60)
__
Hannah's first investment:
80
Hannah's first return, and her second investment:
80r
Hannah's second return:
80r^2
__
Twice Anna's return was equal to Hannah's return:
2r(20r +60) = 80r^2