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dedylja [7]
3 years ago
9

A square has a side length of 5 1/4 inches. What is the area of the square?

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0
The area of the square is : A = 25
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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

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3 years ago
What is the slope of the trend line drawn into the scatter plot?
mario62 [17]
Formula for slope: \frac{y2-y1}{x2-x1}
Plug in points given: \frac{136-27}{13-2} 
= \frac{109}{11} = 9.9 = 9  \frac{9}{10} (Rounded) 

Slope: 9.9 = 9 \frac{9}{10}
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3 years ago
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nataly862011 [7]

0.86 + 1.52 = 2.38 inches of rain fell over the weekend

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The vertices of square WXYZ are W(-2, -1), X(-2,-5),Y(-6,-5), and Z(-6,-1) what is the perimeter and area of the square show you
labwork [276]
Line Segment WX=4
Line Segment XY=4 
Line Segment YZ=4
Line Segment ZW=4
4+4+4+4=16
The perimeter is 16 units.
7 0
3 years ago
Which algebraic expression represents the phrase?
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In order to answer this question you must know the meanings of each keyword. In short, here they are:

Sum is for addition
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Difference is for subtraction
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So the "product" of 50 and the number of employees (n) is (50 x n) or B.
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