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s344n2d4d5 [400]
3 years ago
15

Which of the following is the shape of a cross-section of the figure shown

Mathematics
1 answer:
Aliun [14]3 years ago
3 0

Answer:

B. Pyramid

Step-by-step explanation:

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How to find missing terms in a arithmetic sequence if there is no middle term?
kozerog [31]
You would use the formula for the specific term you wish to find;
The formula is:
U_{n} = a + (n - 1)d
a = starting value of the sequence
d = the common difference (i.e. the difference between any two consecutive terms of the sequence)
n = the value corresponding to the position of the desired term in the sequence (i.e. 1 is the first term, 2 is the second, etc.)
Un = the actual vaue of the the term

For example, if we have the arithmetic sequence:
2, 6, 10, 14, ...
And let's say we want to find the 62nd term;
Then:
a = 2
d = 4
(i.e. 6 - 2 = 4, 10 - 6 = 4, 14 - 10 = 4;
You should always get the same number no matter which two terms you find the difference between so long as they are both consecutive [next to each other], otherwise you are not dealing with an arithmetic sequence)
n = 62

And so:
U_{62} = (2) + (62 - 1)(4) \\
= 2 + 61(4) \\
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5 0
3 years ago
You are building a rectangular planter for your school garden. You want the area of the bottom to be 90ft^2. You want the length
Anestetic [448]
15 feet and 6 feet
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6 0
3 years ago
I need y’all please help me 5
MArishka [77]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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What is the percent of change from 6,000 to 60?
Thepotemich [5.8K]

Answer: 99% decrease

Step-by-step explanation: Since the number changes from 6,000 to 60, we know that it's decreasing. Now to find the percent decrease, we divide the amount of change by the original number.

The amount of change is the difference between 6,000 and 60 and the original number is 6,000.

6,000 - 60 is 5,940 so we are left with \frac{5,940}{6,000} and dividing 6,000 into 5,940 gives us 0<em>.</em>99.

Finally, since the problem is asking us for the <em>percent</em>, we write 0.999 as a percent by moving the decimal point 2 places to the right to get 99%.

So when a number changes from 6,000 to 60, it has decreased by 99%.

6 0
3 years ago
Please help ! I’ll mark you as brainliest if correct.
deff fn [24]

Answer:

  • D = -87
  • Dx = 174
  • Dy = -435
  • Dz = 0
  • (x, y, z) = (-2, 5, 0)

Step-by-step explanation:

The determinant of the coefficient matrix is ...

  D=\left|\begin{array}{ccc}2&5&3\\4&-1&-4\\-5&-2&6\end{array}\right|\\\\=2(-1)(6)+5(-4)(-5)+3(4)(-2)-2(-4)(-2)-5(4)(6)-3(-1)(-5)\\\\=-12+100-24-16-120-15=\boxed{-87}

The other determinants are found in similar fashion after substituting the constants on the right for each of the above matrix columns, in turn.

Those determinants are ...

  D_x=\left|\begin{array}{ccc}21&5&3\\-13&-1&-4\\0&-2&6\end{array}\right|=174

  D_y=\left|\begin{array}{ccc}2&21&3\\4&-13&-4\\-5&0&6\end{array}\right|=-435

  D_z=\left|\begin{array}{ccc}2&5&21\\4&-1&-13\\-5&-2&0\end{array}\right|=0

The solutions are ...

  x = 174/-87 = -2

  y = -435/-87 = 5

  z = 0

That is, (x, y, z) = (-2, 5, 0).

6 0
3 years ago
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