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Blababa [14]
3 years ago
6

(Quadratic Formula) (Irrational level 1)

Mathematics
1 answer:
Leni [432]3 years ago
7 0

Answer:

(-11 +/- sqrt 21) /  10

or

-0.64 , -1.56 to the nearest hundredth.

Step-by-step explanation:

9v^2 + 11v + 5 = 4v^2

5v^2 + 11v + 5 = 0

Using the quadratic formula:

v  = [ - 11 +/- sqrt(11^2 - 4*5*5) ] / 2*5

= (-11 +/- sqrt 21) /  10

= -0.64 , -1.56 to the nearest hundredth.

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To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
kati45 [8]

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\frac{BC}{sinA}=\frac{AB}{SinC}

\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}

BC[sin(68.4)] = 646 [sin(18.6)]

BC = \frac{646*sin(18.6)}{sin(68.4)}

BC = \frac{646 * 0.3190}{0.9298}

BC = 221.63

BC = 222 meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

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3 years ago
A bag contains 5 red marbles , 2 blue marbles, 4 white marbles, and 1 yellow marble. if 2 marbles are chosen in a row , without
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