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pentagon [3]
3 years ago
8

which rule describes the composition of transformations that maps pre- image ABCD to final image A’’B’’C’’D’’ ?

Mathematics
1 answer:
OLga [1]3 years ago
8 0

We have to find the transformation that maps preimage ABCD to A" B" C"D" .


First there is a reflection across x axis to get A'B'C'D'.


And then there is a translation of 6 units to the left and 1 unit up .


And after doing so, we will get A"B"C"D".


So out of the four options, correct option is the first option.

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Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4
tigry1 [53]

Answer:

- The area of the base of the pyramid, B, is 24 cm

- A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.

Step-by-step explanation:

Volume of a rectangular based pyramid = 1/3{Base area × Height}

Base Area = Length × Breadth

Volume = 1/3{(Length × Breadth) × Height}

Given a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4

centimeters by 6 centimeters

Base Area = 4cm × 6cm

Base area = 24cm²

If Height =9cm

Volume of the pyramid = 1/3 × 24 × 9

Volume = 24 × 3

Volume of the pyramid = 72cm³

If the shape is a prism, the volume will be base area × height

= 24 × 9

= 216cm³

It can be seen that volume of rectangular prism = 3 × volume of rectangular pyramid.

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4 years ago
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All the factors of 21
ycow [4]
The factors of 21 are 1, 3, 7, and 21
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(brainliest)Armando found the volume of the figure below by using the steps shown. A rectangular prism with a length of 18 inche
Shkiper50 [21]

Answer:  Armando used the wrong dimensions for the triangular prism.

Step-by-step explanation:

Hi, to answer this question we have to analyze Armando’s work.

Total Volume = Volume of rectangular prism + volume of triangular prism  

Total Volume = 5 (8) (18) + one-half (6) (18) (8)  

Total Volume= 720 + 432  

Total volume = 1,152 cubic inches.

He made a mistake in the second step, where used h=8 for the triangular prism instead of h= 5 . (h=height)

The correct way to solve this is.

Total Volume = 5 (8) (18) + one-half (6) (18) (5)  

Total Volume= 720 + 270

Total volume = 990 cubic inches.

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3 years ago
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Nataly [62]
(16^6-45) 3
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3 years ago
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