3 years ago

Find the missing lengths of the sides.

Mathematics

1 answer:

Sati [7]3 years ago

4 0

Answer:

sin 30°=8/c

1/2=8/c

c=16.

tan 60°=b/8

√3=b/8

b=8√3.

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The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t

Nikitich [7]

Answer:

$\frac{-1}{\sqrt{17} }$

Step-by-step explanation

We have given that equation of line a+4b=0

⇒4b= -a

⇒ $b= \frac{-a}{4}$

slope of line = $tan\theta =\frac{P}{B}= \frac{-1}{4}$

⇒ $tan\theta$ is negative therefore it lies into 4th quadrant

By, Pythagoras theorem $H^2=P^2+B^2$

by putting value of P= -1 & B=4

the value of $H=\sqrt{17}$

with the given condition $cos\theta>0$

i.e. $\theta$ ∈ (3π/2, 2π)

now, $sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}$

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Gnoma [55]

Answer:

8 & 17?

Step-by-step explanation:

8*2= 16

so that makes 17 one more then 8*2 and the sum of 17 and 8 =25

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