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2 years ago

Numbers Write the mixed number as a fraction.

Mathematics

1 answer:

Allisa [31]2 years ago

5 0

Answers: Is 13 Over 3. (13/3)

As you may have noticed, to transform an improper fraction into a mixed number, you must divide the numerator by the denominator. The quotient will be the integer part of the number, and the remainder will be the numerator of the remaining fraction, which will have the same denominator as the original.

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If U = {1, 3, 5, 7, 9, 11, 13}, then which of the following are subsets of U.

lana [24]

Answer:

Step-by-step explanation:

It is C because members in the set C can be found in the universal set (U)

6 0

3 years ago

What is 366 divided by 61

Paul [167]

366 divided by 61 is 6.

4 0

3 years ago

Read 2 more answers

A composite figure is shown.

VikaD [51]

The surface area of the pyramid is 60 square feet

The surface area of the square prism is 480 square feet

The surface area of the cube is 180 square feet

The total surface area is 720 square feet

<h3>Area of Composite figures</h3>

From the question, we are to calculate the surface area of each part of the composite figure

For the cube

Surface area of a cube is given by

$S = 6l^{2}$

Where $l$ is the length of a side

But only have 5 surfaces of the cube are part of the composite figure

∴ Surface area of the cubic part of the figure = $5l^{2}$

From the given information,

$l = 6 \ feet$

∴ Surface area of the cubic part of the figure = 5 × 6²

Surface area of the cubic part of the figure= 180 square feet

For the square prism

The surface area of a square prism is given by the formula,

$S = 2l^{2} + 4lh$

Where $l$ is the length of the sides and

$h$ is the height

But the <u>square surfaces</u> are not part of the surface of the figure

∴ Surface area of the square prism in the figure = $2l^{2} + 4lh - 2l^{2}$

Surface area of the square prism in the figure = $4lh$

From the given information,

$l = 6 \ feet$

$h = 20 \ feet$

Thus,

Surface area of the square prism part of the figure = 4×6×20

Surface area of the square prism part of the figure = 480 square feet

For the pyramid

The pyramid is a square pyramid

The surface area of a square pyramid is given by

$S = l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h ^{2} }$

Where $l$ is the base length

and $h$ is the height of the prism

But the <u>square base</u> is not part of the surface of the figure

∴ Surface area of the pyramid part of the figure = $l^{2} + 2l\sqrt{\frac{l^{2} }{4}+h^{2} }\ - ( l^{2})$

Surface area of the pyramid part of the figure = $2l\sqrt{\frac{l^{2} }{4}+h^{2} }$

From the given information,

$l = 6 \ feet$

$h = 4 \ feet$

∴ Surface area of the pyramid part of the figure = $2(6)\sqrt{\frac{6^{2} }{4}+4^{2} }$

= $12\sqrt{\frac{36 }{4}+16}$

= $12\sqrt{9+16 }$

= $12\sqrt{25}$

= 12 × 5

= 60 square feet

Hence, the surface area of the pyramid is 60 square feet

Thus,

The total surface area = 180 square feet + 480 square feet + 60 square feet

The total surface area = 720 square feet

Hence, the total surface area is 720 square feet

Learn more on Calculating area of composite figures here: brainly.com/question/13175744

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4 0

2 years ago

4x/3+3=x-2 <br>value of x ?

Gekata [30.6K]

Answer:

x = - 15

Step-by-step explanation:

Given

$\frac{4x}{3}$ + 3 = x - 2

Multiply through by 3 to clear the fraction

4x + 9 = 3x - 6 ( subtract 3x from both sides )

x + 9 = - 6 ( subtract 9 from both sides )

x = - 15

6 0

3 years ago

Read 2 more answers

How many half-cubes are needed to fill in the gap of the box shown? O 4 half-cubes O 8 half-cubes O 12 half-cubes O 16 half-cube

o-na [289]

Answer:

8 half cubes

Step-by-step explanation:

8 half cubes

6 0

3 years ago

Read 2 more answers

Numbers Write the mixed number as a fraction.​

Numbers Write the mixed number as a fraction.