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nika2105 [10]
3 years ago
11

Write an expression to find the difference in the maximum area and minimum area of a nys high school soccer field. Then evaluate

the expression.
Max length 100yards
Max length 120 yards
Minimum width 55 yards
Maximum width 80 yards
Mathematics
1 answer:
givi [52]3 years ago
5 0
The maximum area of the school soccer field is given by the maximum length times the maximum width.

Thus maximum area = 120 x 80 = 9,600 square yards.

The minimum area of the school soccer field is given by the minimum length times the minimum width.

Thus maximum area = 100 x 55 = 5,500 square yards.

Therefore, the difference between the maximum area and the minimum area is 9,600 - 5,500 = 4,100 square yards.
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Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5
lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer:  v = 5v + 4u + 1.5sin(3t),

  • 0
  • 1
  •  4
  • 5
  • 0
  • 1.5sin(3t)
  • 1
  •  2.5

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t)        where u'(1) = 2.5   u(1) = 1

v represents the "velocity function"   i.e   v = u'(t)

As v = u'(t)

<em>u' = v</em>

since <em>u' = v </em>

v' = u"

v'  = 5u' + 4u + 1.5sin(3t)   ( given that u" - 5u' - 4u = 1.5sin(3t) )

    = 5v + 4u + 1.5sin(3t)  ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt \left[\begin{array}{ccc}u&\\v&\\\end{array}\right]= \left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]  \left[\begin{array}{ccc}u&\\v&\\\end{array}\right] + \left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]  = \left[\begin{array}{ccc}1\\2.5\\\end{array}\right]

7 0
3 years ago
Which choice best represents the area of a circle with a diameter of 16 cm. Use ≈3.14
Amiraneli [1.4K]

Answer:

it is 803.84 centimeters squared

Step-by-step explanation:

area of a circle is r^2* 3.14

=16*16*3.14

=803.84

3 0
3 years ago
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Can someone explain how to do it aswell please and thank you
Paul [167]

Answer:

B: 24ft^2

Step-by-step explanation:

Area of triangle = (base x height)/2

Step 1: form an equation

a = (12ft x 4ft)/2

Step 2: solve equation

a = 48ft^2 / 2

a = 24ft^2

*the base is the measurement for the bottom of a triangle while height is the measurement of the length from the bottom to the top of a triangle*

8 0
3 years ago
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