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Veseljchak [2.6K]
2 years ago
15

Cassandra calculated the total volume of the figure below. A rectangular prism has a length of 7 inches, width of 6 inches, and

height of 7 inches. A rectangular pyramid has a base of 6 inches by 7 inches and a height of 3 inches. Total volume = V of prism – V of pyramid       = Bh - Bh       = (7)(6) (7) – (7)(6)(3)       = 294 – 126       = 168 square inches What mistakes did Cassandra make? Check all that apply. She used square units instead of cubic units. In calculating the volume of the pyramid, she did not multiply by 1/3. She incorrectly identified the shapes composing the total figure. She subtracted the pyramid volume instead of adding it. She should have multiplied the dimensions of the prism by 1/3.
Mathematics
2 answers:
olga2289 [7]2 years ago
6 0
<h2><u><em>- She used square units instead of cubic units.</em></u></h2><h2><u><em>- In calculating the volume of the pyramid, she did not multiply by 1/3.</em></u></h2><h2><u><em>- She subtracted the pyramid volume instead of adding it.</em></u></h2>
RideAnS [48]2 years ago
4 0

Answer:

1,2,4

Step-by-step explanation:

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Answer:

A. $18

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Step-by-step explanation:

Function:

f(p) = -50p^2 + 1,800p - 16,000

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The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

p_v=\dfrac{-b}{2a}=\dfrac{-1,800}{2\cdot (-50)}=\dfrac{1,800}{100}=18\\ \\f(p_v)=-50\cdot 18^2+1,800\cdot 18-16,000=200

The price that generates the maximum profit is $18

The maximum profit is $200

<u>Part C:</u>

The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all p\in (16,20), so the positive profit is for p\in (16,20)

In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.

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2 years ago
In the trapezoid ABCD ( AB ∥ CD ) point M∈ AD , so that AM:MD=3:5. Line l ∥ AB and going trough point M intersects diagonal AC a
geniusboy [140]

Answer:

BC:BN=8:3

Step-by-step explanation:

ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.

Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD

But, BC= BN+NC

Therefore, BC:BN=(BN+NC):BN

⇒BC:BN=(3+5):3

⇒BC:BN=8:3


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