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Doss [256]
3 years ago
11

Find the value of x to the nearest tenth. tan Xº = 31

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer: the answer is 88.2 and your welcome!!

Step-by-step explanation:

Tan x=31

x= tan^-1 (31) 

x=88.2 degrees

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Which of the following groups of numbers are all prime numbers? A. 3, 11, 23, 31 B. 2, 3, 5, 9 C. 2, 5, 15, 19 D. 7, 17, 29, 49
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A because 9 is not prime in answer B, 15 is not prime in answer C, and 49 is not prime in answer D. So the correct answer is A.
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When studying radioactive​ material, a nuclear engineer found that over 365​ days, 1,000,000 radioactive atoms decayed to 973 co
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Answer:

A. number of decayed atoms = 73.197

Step-by-step explanation:

In order to find the answer we need to use the radioactive decay equation:

N(t)=N0*e^{kt} where:

N0=initial radioactive atoms

t=time

k=radioactive decay constant

In our case, when t=0 we have 1,000,000 atoms, so:

1,000,000=N0*e^{k*0}

1,000,000=N0

Now we need to find 'k'. Using the provied information that after 365 days we have 973,635 radioactive atoms, we have:

973,635=1,000,000*e^{k*365}

ln(973,635/1,000,000)/365=k

-0.0000732=k

A. atoms decayed in a day:

N(t)=1,000,000*e^{-0.0000732t}

N(1)=1,000,000*e^{-0.0000732*1}

N(1)= 999,926.803

Number of atoms decayed in a day = 1,000,000 - 999,926.803 = 73.197

B. Because 'k' represents the probability of decay, then the probability that on a given day 51 radioactive atoms decayed is k=0.0000732.

4 0
3 years ago
The original price of a sweater was $40. When Mandy went shopping, it was on sale for 50% off. What was the cost of the sweater
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Answer: $20

Step-by-step explanation:

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3 years ago
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Answer:

The sale is 5% off.

Step-by-step explanation:

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You need to find the percentage that deducts $1.25 from the regular price. I start with 5% and work my way up from there until I find the answer.

So, <em>5</em><em>%</em><em> </em><em>of </em><em>2</em><em>5</em><em> </em><em>=</em><em> </em><em>?</em>

5% * 25 = 1.25

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Therefore, the answer is 5%.

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