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Alex
3 years ago
9

The figure shows ΔDEF and ΔD'E'F'. Fill in each entry box with the answer.

Mathematics
1 answer:
V125BC [204]3 years ago
3 0

9514 1404 393

Answer:

  • (a, b) = (-2, 0)
  • no

Step-by-step explanation:

Reflecting D over y=1 moves it to D'(-2, 4). An additional translation of (-2, 0) is required to move it to D'(-4, 4).

The translation only affects the x-coordinate, so can occur either before or after the reflection, which only affects the y-coordinate.

The order of transformations does not matter.

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What is the question?
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2 years ago
Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h
Nikitich [7]

Answer: 5 inches


Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = a^2=6^2=36\ inches^2

we know that volume of square right pyramid=\frac{1}{3}\times\ a^2h

Therefore, volume of square right pyramid made by all of clay=\frac{1}{3}\times\ a^2h=48 cubic inches

\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}

Now, slant height l=\sqrt{(\frac{a}{2})^2+h^2}

\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5

The slant height of the pyramid if Helen uses all the clay=5 inches

5 0
2 years ago
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Romashka [77]
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3 years ago
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Step-by-step explanation:

Given that,

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or

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7 0
2 years ago
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