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VMariaS [17]
3 years ago
10

Please help with this geometry question ASAP. Also please show work

Mathematics
1 answer:
docker41 [41]3 years ago
8 0

Answer:

  • The height of the square pyramid is 24 unit.

Step-by-step explanation:

<u>Given that</u>:

  • Edge of the square pyramid = 14 unit
  • Slant height of the square pyramid = 25 unit

<u>To Find</u>:

  • The height of the square pyramid.

<u>We know that</u>:

In pythagoras theorem.

  • H² = P² + B²

Where,

  • H = Hypotenuse = 25 unit
  • P = Height = Let x
  • B = Base = 14/2 = 7 unit

<u>Finding the height of the square pyramid</u>:

⇒ H² = P² + B²

⇒ (25)² = x² + (7)²

⇒ 625 = x² + 49

⇒ x² = 625 - 49

⇒ x² = 576

⇒ x = √576

⇒ x = 24

<u>Hence</u>,

  • The height of the square pyramid = 24 unit
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Andrea is buying some new shirts and sweaters. she is able to buy 3 shirts and 7 sweaters for $137 or she is able to buy 8 shirt
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Answer:

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Step-by-step explanation: ( pls brainiest)

Let the cost of each shirt is $ x, and the cost of each sweater is $ y.

Since, cost of each shirt is $ x, the cost of 3 shirts will be $ 3x and cost of 2 shorts will be $ 2x.

Likewise, cost of each sweater is $ y, so the cost of 2 sweaters will be $ 2y and cost of 4 sweaters will be $ 4y.

Andrea was able to buy 3 shirts and 2 sweaters for $114. This means:

Cost of 3 shirts + Cost of 2 sweaters  = 114

3x + 2y = 114                                            Equation 1

She was able to buy 2 shirts and 4 sweaters for $164. This means

2x + 4y = 164

Dividing both sides by 2, we get:

x + 2y = 82                                              Equation 2

Subtracting Equation 2 from Equation 1, we get:

3x + 2y - (x + 2y) = 114 - 82

3x + 2y - x - 2y = 32

2x = 32

x = 16

Using the value of x, in Equation 2, we get:

16 + 2y = 82

2y = 66

y = 33

Since, x represents the cost of shirt, the cost of each shirt is $ 16.

y represents the cost of sweater, so the cost of each sweater is $ 33.

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Answer:

I think is B

Step-by-step explanation:

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