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Art [367]
3 years ago
15

10. The output is the cube of the input. 1.

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Answer:

y = x {}^{3}

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A and b are two similar cylindrical containers surface area of container A : surface are of container b 4:25
nikdorinn [45]

*Complete Question:

A and B are two similar cylindrical containers.

Surface area of container A: surface area of container B = 4:25

Warda fills container A with oil.

She then pours all the oil into container B.

Warda repeats this and stops when container B is full of oil.

Work out the number of times that Warda fills container A with oil.

Answer/Step-by-step explanation:

We are given that the ratio of surface area of cylinder A to cylinder B = 4:25

To find out the number of times Warda fills cylinder A with oil, we need to find the ratio of the volume of cylinder A to cylinder B.

✔️First, find the linear measurement using the ratio of their surface area by taking their square root:

4:25 = √4/√25 = 2/5

Linear measurement of A to B = 2:5

The ratio of their volume = the cube of the ratio of their linear measurement

Thus, the ratio of the volume of A to B = 2³:5³ = 8:125

For Cylinder B to be filled, it would require 125/8 = 15.625 of cylinder A filled with oil. That means Warda would have to fill Cylinder A with oil for approximately 15 times, then an extra fraction of cylinder A to completely fill cylinder B with oil.

3 0
3 years ago
Nancy lives in a state where sales tax is 9%. This means you can find the total cost of an item, including tax, by using the exp
uysha [10]

Answer:

91.56

Step-by-step explanation:

84 x 0.09=7.56

7.56+84=91.56

3 0
3 years ago
Read 2 more answers
In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.
xz_007 [3.2K]

Answer:

Length of diagonal is 18 m

Step-by-step explanation:

Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.

Let the length of diagonal be x m

In ΔABC and ΔACD

∠ABC=∠ACD      (∵Given)

∠ACB=∠CAD      (∵Alternate angles)

By AA similarity theorem, ΔABC~ΔACD

∴ their corresponding sides are proportional

\frac{x}{27}=\frac{12}{x}=\frac{AB}{CD}

Comparing first two, we get

⇒ \frac{x}{27}=\frac{12}{x}

⇒ x^2=27\times 12

⇒ x=\sqrt324=18

hence, the length of diagonal is 18 m



4 0
3 years ago
What is the volume of a rectangular prism with length 3 m, height 8 m, and width 12 m? A. 288 m2 B. 288 m3 C. 288 m
nevsk [136]
288m^3 is what I got, hope it helps!
6 0
4 years ago
Can someone explain what i'm doing wrong? I'm so confused. Ahh!
Lady bird [3.3K]

You need to swap the x values around. They need to be given in the same order as the y values. The sum should be:

slope =  \frac{1 -  - 5}{2 - -1}

8 0
3 years ago
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