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Vladimir79 [104]
2 years ago
12

I need answer now please asap you will be marked as brainliest :D

Mathematics
1 answer:
garri49 [273]2 years ago
6 0

Answer:

Last one is correct

Step-by-step explanation:

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The population of a city has decreased by 38% since it was last measured. If the current population is 27,900, what what the pre
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<u>Answer: </u>

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.

<u> Solution: </u>

Given that current population of city is 27900.  

Also, population of a city has decreased by 38% since it was last measured.

Let assume that population of city when it was last measured = x

Decreased of 38% means x-38% of x . we can write this as,

=x-\frac{38}{100} \times x

=\frac{100 x-38 x}{100}

=\frac{62 x}{100}=\frac{31 x}{50}

So current population is \frac{31 x}{50}

Equating above expression to the given value of current population, we get

\frac{31 x}{50}=27900

x=\frac{27900 \times 50}{31}

x=45000

Hence previous population of city was 45000.

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Answer:

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Step-by-step explanation:

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If the measure of the ABC = 40o, which is the measure of arc AC
Assoli18 [71]
With the help of theorems involving circles, assuming that arc ABC is a central angle (meaning both legs of the angle start from the centerpoint), the measure of the inscribed angle is twice that of the central angle. Thus, arc AC is equal to 2*40°= 80°.
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If sin a = - 4/5<br>and cos a &gt; 0, find tan a and sec a.​
Nina [5.8K]

Answer:

tan(a) = -4/3

sec(a) = 5/3

Step-by-step explanation:

sine is opposite over hypotenuse.  so no we have a triangle with a hypotenuse of 5 and an opposite side relative to some angle a of -4.  the hypotenuse is never negative.  

so draw a right triangle, mark one of the non right angles as a then the side opposite to that is -4 and the hypotenuse is 5.  use the pythagorean theorem to find the remaining angle.  The result could be positive or negative, but the questions specifically tells us we want the positive version.

b^2 + -4^2 = 5^2

b = 3

tangent is opposite over adjacent.  for a we know the opposite is 3now so tan(a) = -4/3

Now, secant is 1/cos, so lets find cos(a)

cos is adjacent over hypotenuse, and we jsut found the adjacent is 3.  so cos(a) = 3/5

Now 1/cos(a) = hypotenuse over adjacent so 5/3

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