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barxatty [35]
4 years ago
15

Cecilia has 9 rectangular pyramids that are filled with rice. She wants to transfer the rice into storage containers that are re

ctangular prisms that have the same size base and height as the rectangular pyramids. How many full storage containers can she fill and have no rice left over?
Mathematics
1 answer:
andriy [413]4 years ago
6 0
Well if the bases are the same size, then that must mean the bases have the same area. If the height is the same, then they have the same volume. Since she has 9 of them and they have the same volume, she can fill 9 storage containers with no rice left over.
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vredina [299]

21 + 15 = 36

36 x 3 = 108

Their father donated $108 to charity

3 0
4 years ago
Read 2 more answers
See question in attached photo.​
statuscvo [17]

9514 1404 393

Answer:

  (a, b) = (-2, -1)

Step-by-step explanation:

The transpose of the given matrix is ...

  A^T=\left[\begin{array}{ccc}1&2&a\\2&1&2\\2&-2&b\end{array}\right]

Then the [3,1] term of the product is ...

  (A\cdot A^T)_{31}=\left[\begin{array}{ccc}a&2&b\end{array}\right]\cdot\left[\begin{array}{ccc}1&2&2\end{array}\right]=a+2b+4

and the [3,2] term is ...

  (A\cdot A^T)_{32}=\left[\begin{array}{ccc}a&2&b\end{array}\right]\cdot\left[\begin{array}{ccc}2&1&-2\end{array}\right]=2a-2b+2

Both of these terms in the product matrix are 0. We can solve the system of equations by adding these two terms:

  (a +2b +4) +(2a -2b +2) = (0) +(0)

  3a +6 = 0

  a = -2

Substituting for 'a' in term [3,1] gives ...

  -2 +2b +4 = 0

  b = -1

The ordered pair (a, b) is (-2, -1).

8 0
3 years ago
PLEASE HELP ILL MAKE YOU THE BRAINIEST!!<br> Find the area of the shaded segment of the circle
irina1246 [14]

Answer:

Exact Area =

16pi - 32 square meters

Decimal Approx:

A = 18.3 sq m

Step-by-step explanation:

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6 0
3 years ago
The triangular prism shown below is 6 cm wide and 4 cm deep. The vertical height is 7 cm. What is the length of the side edge, s
Anna007 [38]
Width: w=6 cm
Depth: d=4 cm
Height: h=7 cm
Side edge: s=?

s=sqrt [ (w/2)^2+h^2 ]
s=sqrt [ (6 cm / 2)^2+(7 cm)^2]
s=sqrt[ (3 cm)^2 + 49 cm^2 ]
s=sqrt (9 cm^2+49 cm^2)
s=sqrt (58 cm^2)
s=sqrt(58) cm
s=7.615773106 cm
s=7.6 cm

Answer: <span>The length of the side edge, s, of the triangular prism is 7.6 cm</span>
7 0
3 years ago
Solve using system by elimination:<br> -3x + 4y = -18<br> x = -2y - 4
Jet001 [13]

Step-by-step explanation:

equation 1 : -3x + 4y = -18

equation 2: x = -2y -4

transformed equation 2: x + 2y = -4

-3x + 4y = -18

x + 2y = -4

By elimination means we have to make one variable equal to zero or we have to take one variable out of the whole equation.

Let's eliminate the variable x. To do so, let's multiple the second equation to +3. Therefore,

-3x + 4y = -18

(3)x + (3)(2y) = (3)(-4)

-3x + 4y = -18

3x + 6y = -12

Now that both equations have the same value of x but different signs, we can now eliminate x by adding the two equations.

-3x + 4y = -18

<u>3x + 6y = -12</u>

<u> </u> 0 + 10y = -30

Dividing both sides by 10, we have y = -3.

Now that we have the value of y, we can just substitute the value of y into either one of the equation OR we can do the process again but this time we need to eliminate y to find the value of x.

-3x + 4y = -18

x + 2y = -4

To eliminate y, we need to multiply the second equation by -2.

-3x + 4y = -18

(-2)x + (-2)2y = -4(-2)

-3x + 4y = -18

-2x - 4y = 8

Now that we have the same values but different signs of y, we can now add the two equations again.

-3x + 4y = -18

<u>-2x - 4y = 8</u>

-5x + 0 = -10

Dividing both sides by -5, we have x = 2.

CHECKING:

Let's take the second original equation,

x = -2y -4

Let's substitute the values we have found into the equation:

2 = -2(-3) - 4

2= 6 - 4

2 = 2

Both sides of the equation produced the same values. Therefore, the values are correct.

7 0
3 years ago
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