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Mazyrski [523]
4 years ago
14

At the beginning of a snowstorm, Evan had 3 inches of snow on his lawn. The snow then began to fall at a constant rate of 3 inch

es per hour. Assuming no snow was melting, how much snow would Evan have on his lawn 3 hours after the snow began to fall? How much snow would Evan have on his lawn after tt hours of snow falling?
Mathematics
1 answer:
zhannawk [14.2K]4 years ago
3 0

Answer:

3+3tt=total amount of snow

Step-by-step explanation:

y=mx+b is used to show increase

In this case, b is the original 3 inches of snow. m is the constant growth, and x is tt, or the amount of time it is being compared to. y is the total.

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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
TOPIC: AREA OF COMPOSITE FIGURES!!... HELLO!! :) CAN U PLEASE HELP ME WITH THIS PROBLEM? I WILL GIVE YOU BRAINLIEST AND A THANKS
galben [10]

Answer:

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Step-by-step explanation:

3 0
3 years ago
7x + 6(-3 + 4x) = 199<br>what does x equal?
tresset_1 [31]

Simplify. Note the equal sign. What you do to one side, you do to the other. Follow PEMDAS.

Isolate the x.

First, distribute 6 to all terms within the parenthesis

6(-3) = -18

6(4x) = 24x

7x - 18 + 24x = 199

Simplify. Combine like terms

31x - 18 = 199

Isolate the x. Add 18 to both sides

31x - 18 (+18) = 199 (+18)

31x = 199 + 18

31x = 217

Isolate the x. Divide 31 from both sides

31x/31 = 217/31

x = 217/31

x = 7

7 is your answer for x

hope this helps

8 0
3 years ago
Which ordered pair is generated from the equation shown below? y = 3x + 2 A. (3, 11) B. (3, 9) C. (5, 15) D. (2, 4)
borishaifa [10]

Answer:

y = 3x + 2

There slope is  3 and intercept is 2.

<u>First find what are the 2 pair that given by slope =3</u>

First consider A. (3, 11)  and B. (3, 9)

Tan α = \fraction(11-9)(3-3)

It is undefine.

Next consider A. (3, 11)  and BC (5,15)

Tan α = \fraction(15-11)(5-3)

=2

Next consider A. (3, 11)  and D. (2,4)

Tan α = \fraction(11-4)(3-2)

=7

Next consider B (3, 9)  and C. (5,15)

Tan α = \fraction(15-9)(5-3)

=3

So this is ordered pair is generated from slope =3

Step-by-step explanation:

8 0
3 years ago
Help me with my algebra homework 1/4
Margaret [11]

Answer:

1) 24         2) $2 per pencil         3) 23        4) 15    5) $5 per eraser

6) 37        7) 16                            8) $16

Step-by-step explanation:

hope this helps

5 0
3 years ago
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