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andrey2020 [161]
3 years ago
10

A rectangular prism is completely packed with 90 cubes of edge length fraction 1 over 2 inch, without any gap or overlap. Which

of the following describes the volume of this rectangular prism?
Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

Answer:

11 unit cubes and 2 smaller cubes of volume fraction 1 over 8 cubic inch each

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Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
horsena [70]
8 is the right answer
6 0
2 years ago
If a rectangle is rotated about the y-axis as shown below, what three-dimensional figure would be formed?
Xelga [282]

Answer:

Cylinder.  The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.  

Step-by-step explanation:

This is assuming the rectangle has its sides parallel with the x and y axes.  

Let's try to eliminate them one by one.  A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight.  This can be used for the pyramid as well.  Let me know if this doesn't make sense though.

Now for me I would imagine that rectangle being a sheet of paper, or metal.  if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material?  It would be a circle.  So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder.  Again, let me know if this method did not make sense.  

5 0
3 years ago
Glve the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) =0
Doss [256]

Answer: Decimal- .33333333333

Fraction- 1/3

Step-by-step explanation: 3x-1=0

0+1=1, 1/3 is the answer

4 0
2 years ago
Plzzzz guys help :( Which of the following is the mid point of the line segment with endpoints -3 and 2 (a)5/2 (b) 1 (c) -1/2 (d
Monica [59]

Answer:

<u>C</u> -1/2

Step-by-step explanation:

midpoint = sum of end points divide by 2.

here, midpoint = (-3+2)/2

=(-1/2)

4 0
3 years ago
Read 2 more answers
Lou has an account with $10,000 which pays 6% interest compounded annually. If to that account, Lou deposits $5,000 at the begin
katovenus [111]

Answer:

Option d. $22154 is the right answer.

Step-by-step explanation:

To solve this question we will use the formula A=P(1+\frac{r}{n})^{nt}

In this formula A = amount after time t

                        P = principal amount

                        r = rate of interest

                       n = number of times interest gets compounded in a year

                        t = time

Now Lou has principal amount on the starting of first year = 10000+5000 = $15000

So for one year A=15000(1+\frac{\frac{6}{100}}{1})^{1\times1}

= 15000(1+.06)^{1}

= 15000(1.06) = $15900

After one year Lou added $5000 in this amount and we have to calculate the final amount he got

Now principal amount becomes $15900 + $ 5000 = $20900

Then putting the values again in the formula

A=20900(1+\frac{\frac{6}{100}}{1})^{1\times1}

= 20900(1+.06)^{1}

= 20900(1.06)=22154

So the final amount will be $22154.

3 0
2 years ago
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