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Ahat [919]
3 years ago
9

Are the two triangles below similar​

Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:

Third option.

Step-by-step explanation:

The triangles below are similar, because they have congruent corresponding angles.

Angle N is 105 degrees and angle Q is 105 degrees.

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Dubnium-262 has a half-life of 34 s. How long will it take for 500.0 grams to
dmitriy555 [2]

Answer:

the time taken for the radioactive element to decay to 1 g is 304.8 s.

Step-by-step explanation:

Given;

half-life of the given Dubnium = 34 s

initial mass of the given Dubnium, m₀ = 500 grams

final mass of the element, mf = 1 g

The time taken for the radioactive element to decay to its final mass is calculated as follows;

1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} =  (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500})  = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s

Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.

4 0
3 years ago
01: Which gives the correct order of steps needed to multiply the problem below? 83 X 39 O Multiply the ones. 8 times 39 is 312.
Burka [1]

Answer:

Multiply the ones. 9 times 83 is 747. Multiply the tens. 30 times 83 is 2,490. Add the products to get 3,237.

The rest of the question:

Which gives the correct order of steps needed to multiply the problem below?   "83x39 "

The steps to multiply  83x39

1) multiply the ones 9 times 83 = 9 times 3 + 9 times 80 = 27 + 720 = 747

2) multiply the tens 30 times 83 = 30 times 3 + 30 times 80 = 90 + 2400 = 2490

3) add 747 and 2490 = 747 + 2490 = 3,237

According to the previous steps, the answer is option 3

Multiply the ones. 9 times 83 is 747. Multiply the tens. 30 times 83 is 2,490. Add the products to get 3,237.

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4 years ago
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Answer:

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