Answer:
The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
Step-by-step explanation:
Recall :
V1 = volume of cylinder = πr²h
V2 = volume of a cone = 1/3πr²h
From the diagram, both have height, h of 12
Radius = r
V1 = 2512 in
V2 = 1256 in
From the ratio :
2512 = πr² * 12
1256 = 1/3πr² * 12
12 cancel out as well as r² and π
If the bases have the same area `, then 2512 should be equal to (1256 * 3)
2512 in ≠ 3868 in
Answer:
y=x-9
Step-by-step explanation:
Answer:
Step-by-step explanation:
Triangles CEF and CAD are similar right triangles (they have the common angle, so by AA postulate they are similar). Similar triangles have proportional corresponding sides, so
Triangles DEF and DBC are similar right triangles (they have the common angle, so by AA postulate they are similar). Similar triangles have proportional corresponding sides, so
Substitute the fraction 
from the first equality into the second equality:
![\dfrac{EF}{30}=1-\dfrac{EF}{40}\ [\text{Muliply by 120}]\\ \\4EF=120-3EF\\ \\4EF+3EF=120\\ \\7EF=120\\ \\EF=\dfrac{120}{7}=17\dfrac{1}{7}\ ft](https://tex.z-dn.net/?f=%5Cdfrac%7BEF%7D%7B30%7D%3D1-%5Cdfrac%7BEF%7D%7B40%7D%5C%20%5B%5Ctext%7BMuliply%20by%20120%7D%5D%5C%5C%20%5C%5C4EF%3D120-3EF%5C%5C%20%5C%5C4EF%2B3EF%3D120%5C%5C%20%5C%5C7EF%3D120%5C%5C%20%5C%5CEF%3D%5Cdfrac%7B120%7D%7B7%7D%3D17%5Cdfrac%7B1%7D%7B7%7D%5C%20ft)
To solve this problem, we need to set up a proportion.
2 batches of nut bars/ 4 eggs = 1 batch of nut bars / x eggs.
To solve this proportion, we use cross products, or multiplying the numerator of one number by the denominator of the other and setting them equal to one another.
(4 eggs) (1 batch) = (2 batches) (x eggs)
4= 2x
2=x
Therefore, 2 eggs are used in each batch of nut bars.
If a person invests $50 in a business and gets a percentage increase of 10%, then he would have $55 as his final payout.
<h3>What is an Investment?</h3>
This refers to the financial activity where a person puts money or an asset into a business or venture to gain profit after a period of time.
Hence, we can see that since your question is incomplete as it does not include the initial amount of both Demarco and Tanya, then a final payout cannot be found.
Read more about investments here:
brainly.com/question/25300925
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