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anyanavicka [17]
3 years ago
14

Please help algebra 20 points!!!!!!!

Mathematics
1 answer:
miskamm [114]3 years ago
5 0

Answer:

A

Step-by-step explanation:

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Part A would be the second option, as well as part B
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3 years ago
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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

#SPJ1

4 0
2 years ago
Tran checked the time on his watch after he finished his daily run select the time that Tran finished running mark all that appl
Viefleur [7K]

Answer:

(a) and (b) are correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Select the correct options

A clock is divided into two equal parts.

(1) 1 - 6

(2) 7 - 12

<em>When the hour hand is on (1), then the time is "after"</em>

<em>When the hour hand is on (2), then the time is "before"</em>

<em />

From the attached clock, we have:

(1) The hour hand on 9

(2) The minute hand 1 unit above 9 i.e. 46 minutes

(1) implies that, the time is before 9 i.e. past 8

(2) implies that the minutes is (60 - 46) before 9 or 46 minutes after 8

In (1) and (2) above, we have two interpretations.

1: (60 - 46) minutes before 9

This gives:

14 minutes before 9

2: 46 minutes past 8

i.e. 8 : 46

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De cuantas formas distintas se puede formar una fila de 10 personas?
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Answer:

Do you mean by standing together?

Step-by-step explanation:

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What is y+x find the answer
Zigmanuir [339]

What is y+x?


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<span>= <span>x+<span>y</span></span></span>

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