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olya-2409 [2.1K]
3 years ago
13

10 POINTS!.A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one pr

ism and △DEF for the bases of the other prism. Is △ABC similar to △DEF? Explain.
Suppose the sculptor makes both prisms with the same height. Find the volume of each prism. Which prism will have a greater volume? Show your work.

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

if they are similar then their sides are proportional and the following would be true:  

40/30 = 48/36  

reduce both sides:  

4/3 = 4/3  

so, yes, they are similar.

Step-by-step explanation:

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PLEASE HELP FAST!!! Find the surface area of the composite figure. Round your answer to the nearest tenth if necessary.
aksik [14]

Using the surface area formula for rectangular and triangular prism, the surface area of the composite figure is: 444 m².

<h3>What is the Surface Area of the Composite Figure?</h3>

Total surface area = surface area of the top triangular prism + surface area of the bottom rectangular prism - area of the surface both share together.

Surface area of the top triangular prism = (S1 + S2+ S3)L + bh = (10 + 10 + 16)5 + (16)(6) = 276 m².

Surface area of the bottom rectangular prism = 2(wl + hl + hw) = 2·(5·16+4·16+4·5) = 328 m²

Area of the surface both share together = 2(16)(5) = 160 m²

Total surface area = 276 + 328 - 160 = 444 m².

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The isotope known as carbon-14 is radioactive and will decay into the stable form nitrogen-14. As long as an organism is alive,
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The half life would be about 3 so making the percentage About 25%
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20 is what percent of 160
stira [4]
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3 years ago
Find two numbers if there sum is 7.2 and their difference is 2.7
Sidana [21]

Answer:

2.25 and 4.95

Step-by-step explanation:

x + y = 7.2

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x = 7.2 - y

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3 years ago
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