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Mathematics

1 answer:

My name is Ann [436]3 years ago

4 0

Answer:

w>-20

Step-by-step explanation:

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Since angle B is the largest angle, AC is the side

Vesna [10]

Answer:

AC is the largest side

Step-by-step explanation:

The longest side of a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

6 0

3 years ago

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For the values a=8 which is a leg of a right triangle and value c=19 which is the hypotenuse find the length of the other leg b

FinnZ [79.3K]

C^2=a^2+b^2 we are given the hypotenuse of 19 units and one leg of 8 units so:

19^2=8^2+b^2

361=64+b^2

b^2=297

b=√297

b≈17.2 to the nearest tenth

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3 years ago

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9sin(2x) sin (x) = 9cos(x)

nikdorinn [45]

Answer:

$\sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z$