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Semenov [28]
2 years ago
13

Please help me with this.

Mathematics
1 answer:
Valentin [98]2 years ago
8 0

The correct proportion of the corresponding sides is 2 : 3

<h3>How to determine the proportion?</h3>

From the question, we understand that the shapes are similar.

This means that:

Ratio = GHIJ : KLMN

From the figure, we have:

GH = 6 and KL = 9

So, we have:

Ratio = 6 : 9

Simplify the ratio

Ratio = 2 : 3

Hence, the correct proportion of the corresponding sides is 2 : 3

Read more about similar shapes at:

brainly.com/question/14285697

#SPJ1

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an office cooler has the shape of a cylinder with a radius of 9 in the height of the cooler is 22in water is dispensed into pape
Troyanec [42]

Answer:

Therefore,

The greatest number of paper cups that can be completely filled from the water cooler is 446 cups.

Step-by-step explanation:

For Cylinder Cooler

Radius = r₁ = 9 in

Height = h₁ = 22 in

For Cone Cups,

Radius = r₂ = 2 in

Height = h₂ = 3 in

To Find:

Number of Paper Cups = ?

Solution:

For a Cylinder we know that

\textrm{Volume of a Cylinder}=\pi (Radius)^{2}\times Height

And For a Cone,

\textrm{Volume of a Cone}=\dfrac{1}{3}\pi (Radius)^{2}\times Height

Now number of paper cups that can be completely filled from the water cooler will be given as

\textrm{Number of Paper Cups}=\dfrac{\textrm{Volume of a Cylinder}}{\textrm{Volume of a Cone}}

Substituting the values we get

\textrm{Number of Paper Cups}=\dfrac{\pi (r_{1})^{2}\times h_{1}}{\dfrac{1}{3}\pi (r_{2})^{2}\times h_{2}}

Substituting the values we get

\textrm{Number of Paper Cups}=\dfrac{81\times 22\times 3}{4\times 3}=445.5\approx 446

Therefore,

The greatest number of paper cups that can be completely filled from the water cooler is 446 cups.

5 0
3 years ago
The theme of patriarchal dominance in the Castle of Otranto<br>​
Advocard [28]

Step-by-step explanation:

In Horace Walpole's The Castle of Otranto, the female characters are predominately presented as passive and emotionally fragile, particularly in contrast to their male counterparts. ... These gendered fictional representations reflect, influence, and perpetuate patriarchal attitudes toward women.

7 0
3 years ago
Please answer this question for brainliest!
Arlecino [84]

Answer:

B

Step-by-step explanation:

Because When you enlarge by 3x you get 1/3

8 0
3 years ago
Julia has 2 identical rooms in her house. If each room measures 8 feet on one side and 12 feet on another, what is the total are
otez555 [7]

<u>Answer</u>

192 ft²


<u>Explanation</u>

The rooms measures 12 feet by 8 feet. So it is a rectangle.

The area of a rectangle = length × width

                                       = 12 × 8

                                       = 96 ft²

The area of one room is 96 ft². There are 2 similar rooms.

The area of the 2 rooms = 96 × 2

                                        = 192 ft²

4 0
4 years ago
A circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.
s2008m [1.1K]

Answer:

125.72

Step-by-step explanation:

radius equals pi(r)2

rectangle equals b times h

radius is 6.28

rectangle is 132

you now subtract them

132 minus 6.28 which is 125.72

hope this helps

7 0
3 years ago
Read 2 more answers
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