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FromTheMoon [43]
2 years ago
8

What is the area of the trapezoid shown? The figure is not drawn to scale.

Mathematics
1 answer:
guapka [62]2 years ago
8 0

Answer:

284.3

Step-by-step explanation:

Trapezoid Formula:

A=a+b/2*h

plug in the numbers

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scott can reach 57 inches high. scott stands on box that is 16 inches high how many inches high can scott reach now?
kompoz [17]

Answer: 73 inches high

Step-by-step explanation: 57+16=73

4 0
3 years ago
Solve the quadratic equation algebraically 5-x<2(x-3)+5
vodka [1.7K]

Answer:

x>2

Step-by-step explanation:

5-x<2(x-3)+5

5-x<2x-6+5

5-x<2x-1

6-x<2x

6<3x

x>2

7 0
3 years ago
Solution for x+4 is equal to 10​
Mars2501 [29]
The answer is x=6. This is because 6+4 equals 10
8 0
3 years ago
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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
Aaron ate 5/6 of his sandwich at lunch. Colin ate 2/3 of his sandwich. did the two boys eat the same amount? Explain
Nady [450]
No. Aaron ate more because 5/6 is a larger fraction than 2/3.
7 0
3 years ago
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