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Ksju [112]
4 years ago
6

A right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume. What statement

must be true about two solids?
Mathematics
2 answers:
Bas_tet [7]4 years ago
7 0
This is the concept of volumes of solid figures, given that the height of the right rectangular prism and the oblique triangular prism are 12 cm and both prisms have the same volume, we can conclude that:
Horizontal cross-sections of the prisms at the same height have the same area.
MakcuM [25]4 years ago
5 0

Answer:

We conclude that both the prism has same area.

Step-by-step explanation:

Given a right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume.

we have to conclude the correct statement about these two prism.

As, given the height of both prism are same i.e 12 cm and also have same volume implies same cross-section or we can say have same base.

and also, Horizontal cross-sections of the prisms at the same height have the same area.

We conclude that both the prism has same area.

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mote1985 [20]

Answer:

x^3 -x^2 -25x +25

Step-by-step explanation:

\text{The roots are,}~ \alpha  = -5,~ \beta = 1 ~ \text{and}~ \gamma = 5\\\\\text{The polynomial is,}\\\\~~~x^3 - (\alpha + \beta + \gamma)x^2+(\alpha \beta + \beta \gamma+ \gamma \alpha)x - \alpha\beta \gamma\\\\=x^3 - (-5+1+5)x^2 +(-5 \cdot 1 + 1 \cdot 5 + 5 \cdot -5)x - (-5)(1)(5)\\\\=x^3 -(0+1)x^2 + (-5+5-25)x +25\\\\=x^3 -x^2 -25x +25

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2 years ago
What is the slope of the line that contains the points (-1,2) and (4,3)
Bad White [126]

Answer:

1/5

Step-by-step explanation:

We can find the slope using the slope formula

m = (y2-y1)/(x2-x1)

   = (3-2)/(4 - -1)

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4 0
3 years ago
Find the values of x and y.
kotykmax [81]

Answer:

y=9 and x=18

Step-by-step explanation:

You know that y+3=12 so 12-3=9

You know that x-3=15 so 15+3=18

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The first three cards dealt from a
mart [117]
There are four aces, 12 face cards and 4 7s in a standard 52 card deck. The probability of getting an ace on the first draw is 4/52 or 1/13. For the second draw there are now 51 cards in the deck (assuming the draws are without replacement), so the probability of getting a face card is 12/51. Given an ace and a face card on the first two draws, the probability of a 7 on the third draw is 4/50 or 2/25. The probability of getting all three is 1/13*12/51*2/25.
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