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3 years ago

8

An aquarium is shaped like a rectangular prism. The prism is 2414 inches long, 1212 inches wide, and 20 inches high. What is the

volume of the aquarium? Enter the correct answer in the box.

1 answer:

Pie3 years ago

8 0

Answer:

58515360 in ^3

Step-by-step explanation:

length * width * height

You might be interested in

Consider the statement : Congruent triangles are always similar. Which of the following statements is an example of the statemen

swat32

Answer:

Yes, the congruent triangles are always similar. The following statements are applicable

1) Angles are the same, but sides are proportional to eachother.

2) Sides are the same size.

3)Corresponding angles and corresponding sides are congruent.

Step-by-step explanation:

Yes, they are similar.

For two triangles to be similar, it is sufficient if two angles of one triangle are equal to two angles of the other triangle. Note that if two angles of one are equal to two angles of the other triangle, the third angles of the two triangles too will be equal.

If two triangles are congruent then all corresponding sides as well as corresponding angles of one triangle are equal to those of other triangles. This can happen in four cases

1)- when all sides of triangles are equal,

2) - if one side and two angles of one are equal to one side and two angles of other triangle.

3) - if two sides and included angle of one triangle are equal to two sides and included angle of other triangle

4)- if in two right angled triangles, one side and hypotenuse of one triangle are equal to one side and hypotenuse of other triangle.

Observe that for triangles to be similar, we just need all angles to be equal. But for triangles to be congruent, angles as well as sides should be equal.

Hence, while congruent triangles are similar, similar triangles may not be congruent ( but the converse is not true) .

4 0

3 years ago

20. Rectangle ABCD is transformed to create rectangle EFGH. What sequence of

Feliz [49]

Answer:

B

Step-by-step explanation:

rotate 180 --> translate up by 4: (x,y)--> (-x,-y) --> (-x,-y +4)

8 0

4 years ago

aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

so

Let

z ----> the scale factor

$\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}$

The scale factor is equal to

$z=\frac{CB}{C'B'}$

substitute

$z=\frac{4}{8}$

simplify

$z=\frac{1}{2}$

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

$A=\frac{1}{2}(2)(4)=4\ units^2$

<em>Area of the large triangle</em>

$A=\frac{1}{2}(4)(8)=16\ units^2$

ratio of the areas (small to large)

$ratio=\frac{4}{16}=\frac{1}{4}$

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0

4 years ago

Divide 800 by the 2:3 ratio

garri49 [273]

Answer:

Ratio 320:480

Step-by-step explanation:

please let me know if i got it right if not i'm really sorry :(

8 0

3 years ago

I NEED THIS ASAP!!! What is GC?

umka21 [38]

9514 1404 393

Answer:

D. 14

Step-by-step explanation:

Point G divides each median into parts that have the ratio ...

short : long = 1 : 2

Then ...

GD : GC = 1 : 2 = 7 : 14 . . . . . . . . multiply the ratio by 7

GC = 14

6 0

3 years ago