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saul85 [17]
2 years ago
6

If a roll of fabric is 7 1/2 yards long and is to be cut into pieces that are 5/8 of a yard each,many pieces can be cut? Justify

your answer.
Mathematics
1 answer:
olga55 [171]2 years ago
8 0

Answer:

12 pieces can be cut

Step-by-step explanation:

5/8 yard per piece

5/8 = 0.625 yard

We have 7.5 yards total

7.5 / 0.625 = 12

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All of the edges of a regular triangular pyramid have length 12. A frustum of the pyramid has height half of that of the pyramid
vlada-n [284]

Answer:

1) The volume of the frustum is 27·(√3)·h

2) The surface area the frustum is 24·h + 54·√3

Step-by-step explanation:

1) A frustum of the regular triangular prism is a portion of the triangular prism

The length of the edge of the triangle prism = 12

The area of the triangular face, A = (√3/4)·a²

∴ A = (√3/4)·12² = 36·√3

When

The volume of the triangular prism, V = A·h = (36·√3)·h

By triangle proportionality theorem, the cross sectional area of the top half of the triangular prism =  (√3/4)·6² = 9·(√3)

The volume of the top half, V₂ = 9·(√3)·h

The volume of the frustum = V - V₂ = (36·√3)·h - 9·(√3)·h = 27·(√3)·h

The volume of the frustum = 27·(√3)·h

2) The surface area of the triangular side of the frustum is given as follows;

A = 36·√3- 9·(√3) = 27·(√3)

The surface area the frustum, F_A = 2×27·(√3) + 2 ×6 ×h + 12×h = 24·h + 54·√3

The surface area the frustum = 24·h + 54·√3

4 0
3 years ago
Y = 3x + 5, x = -4 / So, what would the y in the equation equal to ? ​
3241004551 [841]

Answer:

Step-by-step explanation:

y= 3 (-4)+5

y=   - 12+5

y= -7

5 0
2 years ago
Read 2 more answers
Y’all know this anything about this?
Andre45 [30]

We are given:

  • Parallelogram CDEF
  • ∠C = 13x - 10
  • ∠D = 5x + 10

To Find: ∠E

Concept Used:

  • Adjacent angles of a Parallelogram are Supplementary

Finding the value of 'x':

Since adjacent angles of a parallelogram are Supplementary:

∠D + ∠C = 180

5x + 10 + 13x - 10 = 180              [replacing the values of angle C and D]

18x = 180

x = 10                                          [dividing both sides by 18]

__________________________________________________________

Finding Measure of Angle D:

We are given that:

∠D = 5x + 10

∠D = 5(10) + 10                    [since x = 10]

∠D = 60°

__________________________________________________________

Finding the measure of ∠E:

∠D and ∠E are Adjacent angles

Since Adjacent angles are Supplementary:

∠D + ∠E = 180

60 + ∠E = 180

∠E = 120°                                  [subtracting 60 from both sides]

Hence, the measure of ∠E = 120°

7 0
2 years ago
Reina and Sam are multiplying (8^4)^5 (7^3)^9<br><br> Is either of them correct?
PilotLPTM [1.2K]

Answer:

Sam is correct.

Step-by-step explanation:

Exponent rules state that when an number with an exponent is raised to a power, the two exponents multiply.  For example, a^2^2=a^4.

6 0
3 years ago
Please answer Fast!!!! I will award 100 points for correct answer
Tasya [4]

Answer:

52

Step-by-step explanation:

56+(x+72) =180

180 because it is supplementary

8 0
2 years ago
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