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Studentka2010 [4]
2 years ago
7

While playing with magnetic building tiles, Natalie constructed a square pyramid out of

Mathematics
1 answer:
Dovator [93]2 years ago
5 0

The height of the green pyramid constructed  by Natalie while playing with magnetic building tiles is 26.25 cm.

<h3>Volume of the orange pyramid</h3>

The volume of the orange pyramid is calculated as follows;

V = ¹/₃Ah

where;

  • A is the base area of the pyramid
  • h is the height of the pyramid

V = ¹/₃ x (7²) x 5

V  = ¹/₃ x (245 cm³)

<h3>Volume of the green pyramid</h3>

Voume = 21 x [¹/₃ x (245 cm³)]

Volume = 1,715 cm³

<h3>Height of the green pyramid</h3>

V = ¹/₃Ah

3V = Ah

h = 3V/A

h = (3 x 1715) / (14²)

h = 26.25 cm

Learn more about area of pyramid here: brainly.com/question/22744289

#SPJ1

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Simplify the expression.<br> 8h + (-7.9d) - 16 + 5d - 2.9h
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Answer:

-2.8h-26+5d

Step-by-step explanation:

So just combine like terms

For the h, you’d get -2.8

For the d, you’d get 5

For the normal integer, -26

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2 years ago
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Ms. Fong class chose their favorite foods. 1/3 of the students chose hamburgers and 3/8 of the students chose pizza. What fracti
svetoff [14.1K]

1/3  chose hamburger and 3/8 chose pizza

add them together

1/3 + 3/8

get a common denominator of 24

1/3 *8/8 + 3/8 *3/3

8/24 + 9/24

17/24

Choice D

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3 years ago
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The perimeter of a rectangle is 22 inches. Find the dimensions if its length is 3 inches greater than its width.
MaRussiya [10]

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where w is the width and l is the length.

The perimeter of a rectangle is twice its length added to twice its width.

2l+2w=22

The length is 3 more than the width:

l = w+3

We can now substitute in w+3 as l in the equation 2l+2w=22.

2(w+3) + 2w = 22

Distribute the first terms:

2w+6+2w=22

Combine like terms:

4w+6=22

Subtract 6 from both sides:

4w=16

Divide both sides by 4:

w = 4

Now we know that w = 4. We can now substitute this inside an equation to find l.

l = w+3\\\\l = 4+3\\\\l=7

Hope this helped!

7 0
3 years ago
Mrs teed bought 22 packs of hot dog rolls at the store for the 4th-grade picnic there were 12 rolls in each pack how many hot do
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Answer:

Step-by-step explanation:

To find out

22 x 12 = 264 rolls

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3 years ago
Part of the area under this ramp serves for storage. Items can be stored only in the unshaded part of the ramp
Mekhanik [1.2K]

Answer:

48.1 m³ available, 2.5m³ not available

Step-by-step explanation:

Tan(X) = 4.5/(5.8+1.7)

Tan X = 3/5

Hypotenuse² = 3² + 5² = 34

Sin X = 3/sqrt(34)

X = 30.96

1/sinX = 1.7/SinY

Y = 61.003°

Third angle: 180 - X - Y = 88.037

Volume

= ½ × 1.7 × 1 × sin(88.038) × 3

= .

= 2.548

= 2.5m³

Available for storage:

½×4.5×7.5×3 - 2.548

= 48.077 = 48.1 m³

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3 years ago
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