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Svet_ta [14]
3 years ago
15

Solve 4x2-25<0 in words 4x squared -minus 25 < 0

Mathematics
1 answer:
muminat3 years ago
4 0
<h3>I'll teach you how to solve 4x^2-25<0</h3>

-------------------------------------------------

4x^2-25<0

Add 25 to both sides:

4x^2-25+25 < 0+25

Simplify:

4x^2 < 25

Divide both sides by 4:

4x^2/4 < 25/4

Simplify:

x^2 < 25/4

whole sqrt -25/4 < x < whole sqrt 25/4

whole sqrt 25/4= 5/2

-5/2 < x < 5/2

Your Answer Is -5/2 < x < 5/2

plz mark me as brainliest if this helped :)

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3 years ago
You hike 190 meters up a steep hill that has a 33∘ angle of elevation as shown in the diagram.
erik [133]

Answer:

b = 159 m

a = 103 m

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Step-by-step explanation:

Let’s start with getting the measure of angle B

Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle

So we have the measure of B as;

90-33 = 57 degrees

To get the value of a, we use the appropriate trigonometric ratio

a faces the angle 33, that makes it an opposite to that angle

190 faces the right angle and that makes it the hypotenuse

Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse

so, we have it that;

sine 33 = a/190

a = 190 * sine 33

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to get b, it is adjacent to the given angle

So with the hypotenuse, the ratio between it and the hypotenuse is the cosine

so;

cos 33 = b/190

b = 190 * cos 33

b = 159 m

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