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Anni [7]
2 years ago
5

there are 120 students in a school marching band. they march in an array with the same number of students in each row. what are

the dimensions of the different arrays that the band can form?
Mathematics
1 answer:
Sloan [31]2 years ago
5 0

Answer:

20 X 6

Step-by-step explanation:

20 X 6 = 120 I'm not smart but this is pretty easy

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Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four
gregori [183]

Answer and step-by-step explanation:

For any rectangle, the one with the largest area will be the one whose dimensions are as close to a square as possible.

However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

2y + 5x - 5x = 750 - 5x

2y = -5x + 750

Next we divide both sides by 2:

2y/2 = -5x/2 + 750/2

y = -2.5x + 375

We know that the area of a rectangle is given by

A = lw, where l is the length and w is the width.  In this rectangle, one dimension is x and the other is y, making the area

A = xy

Substituting the expression for y we just found above, we have

A = x(-2.5x+375)

A = -2.5x² + 375x

This is a quadratic equation, with values a = -2.5, b = 375 and c = 0.

To find the maximum, we will find the vertex.  First we find the axis of symmetry, using the equation

x = -b/2a

x = -375/2(-2.5) = -375/-5 = 75

Substituting this back in place of every x in our area equation, we have

A = -2.5x² + 375x

A = -2.5(75)² + 375(75) = -2.5(5625) + 28125 = -14062.5 + 28125 = 14062.5

6 0
3 years ago
What is the slope of the line that passes through (2,8); (0,3)​
kakasveta [241]
8 - 3 = 5 Slope formula numerator
2 - 0 = 2 Slope formula denominator

5/2 = 2.5
4 0
3 years ago
Read 2 more answers
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storchak [24]

Answer:

what does 30 yldpri the linear relationship have do with it

Step-by-step explanation:

7 0
3 years ago
Find the midpoint of the line segment with end coordinates of: (−3,−1)and (−4,2) Give coordinates as decimals where appropriate.
lawyer [7]

Answer:

ANSWER

M=(−72,12).

Step-by-step explanation:

The midpoint for two points P=(x1,y1) and Q=(x2,y2) is

M=(x1+x22,y1+y22).

We have that x1=−3, y1=−1, x2=−4, y2=2.

So, M=(−3+(−4)2,−1+(2)2)=(−72,12)

4 0
3 years ago
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find the coordinates of the vertex of the following parabola algebraically. write your answer as an (x, y) point. y = -3x^2 + 48
77julia77 [94]

Answer:(8,-3)

Step-by-step explanation:

8 0
3 years ago
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