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Art [367]
2 years ago
11

Alexis has a wooden box that is shaped like a rectangular prism. The box measures 8 in. Wide, 9 in. Long, and 4 in. Tall on the

outside. The wood used to make the box is 1/2 in. Thick. What is the inside volume of the box? A. 144 in. Cubed B. 168 in. Cubed C. 223 in. Cubed D. 288 in. Cubed Pls show work
Mathematics
1 answer:
Alina [70]2 years ago
8 0

Answer:

B. 168 in. Cubed

Step-by-step explanation:

Given that

The box measures 8 in. Wide, 9 in. Long, and 4 in. Tall on the outside.

And, the wood be used to make the box is 1 ÷2 in

We need to find out the inside volume of the box

As we know that

Volume = (length)(width)(height)

= (8 - 0.5 × 2) (9 - 0.5 × 2 ) (4 - 0.5 × 2)

= 7 × 8 × 3

= 168 cubic inches

hence, the second option is correct

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There are 2 blue, 6 yellow, 10 red, 3 green, 5 orange, and 4 purple marbles in a jar. What is the probability that a red marble
seraphim [82]

Answer:

1/3

Step-by-step explanation:

sum of numbers = 30 marbles

probability = 10/30 or simplified 1/3

6 0
2 years ago
Using the figure below, find the lengyh of x.<br><br>​
katrin [286]

Answer:

what i don't understand why you are not answer that question

5 0
3 years ago
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
Simplify the complex fraction
Irina-Kira [14]

Answer:

2  4/9

Step-by-step explanation:

You need to divide the two fractions.

You need to multiply 11/4 by the reciprocal of 9/8.

11/4 times 8/9

You can simplify first.

11 times 2/9

22/9

Simplify to

2 4/9

8 0
3 years ago
Read 2 more answers
Factorise 12 raised 2 minus 7x + 1​
professor190 [17]

Answer:

(4x - 1)(3x - 1).

Step-by-step explanation:

I think you mean 12x^2 - 7x + 1

= 12x^2 - 4x - 3x + 1

= 4x(3x - 1) -- 1(3x - 1)

= (4x - 1)(3x - 1).

6 0
3 years ago
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