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TiliK225 [7]
2 years ago
6

I need help with this

Mathematics
1 answer:
Aleksandr [31]2 years ago
4 0

Answer:

3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)

4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2

5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)

6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)

7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary

8. m∠2 = 64° ~ again, same side exterior angle theorem

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mean life = 8264.5 s

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k = - 0.000121

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Now, the mean life is the life time for which the sample retains.

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The relation between the mean life and the decay constant is

\tau =\frac{1}{k}\\\\\tau = \frac{1}{0.000121} = 8264.5 seconds

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3 years ago
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many more girls than boys are there?
Mandarinka [93]

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There are 8 more girls

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Identify PR rounded to the nearest tenth. Please help asap!!
kicyunya [14]

Trigonometric Functions:

S\frac{O}{H} C\frac{A}{H} T\frac{O}{A}

Sine\frac{Opposite}{Hypotenuse} Cos\frac{Adjacent}{Hypotenuse} Tan\frac{Opposite}{Adjacent}

You have the angle and the adjacent. You need to find the hypotenuse (PR). Therefore, you use cos.

Cos(26)=\frac{13}{H}

Rearrange the formula to find H (PR):

H = \frac{13}{Cos(26)}

14.463 ~ 14.5

<h2>14.5°</h2>
5 0
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