Mathematics: PLS HELP:Find all the missing elements:

The first graphStep-by-step explanation:...

PLS HELP:Find all the missing elements: - id7186177, Sillydork4545

kamayablancowa

30.01.2022

b = 9.5 , c = 15

Step-by-step explanation:

For b

To find side b we use the sine rule

$\frac{ |a| }{ \sin(A) } = \frac{ |b| }{ \sin(B) }$

a = 7

A = 23°

B = 32°

b = ?

Substitute the values into the above formula

That's

$\frac{7}{ \sin(23) } = \frac{ |b| }{ \sin(32) }$ $|b| \sin(23) = 7 \sin(32)$

Divide both sides by sin 23°

$|b| = \frac{7 \sin(32) }{ \sin(23) }$

b = 9.493573

b = 9.5 to the nearest tenthFor c

To find side c we use sine rule

$\frac{ |a| }{ \sin(A) } = \frac{ |c| }{ \sin(C) }$

C = 125°

So we have

$\frac{7}{ \sin(23) } = \frac{ |c| }{ \sin(125) }$ $|c| \sin(23) = 7 \sin(125)$

Divide both sides by sin 23°

$|c| = \frac{7 \sin(125) }{ \sin(23) }$

c = 14.67521

c = 15.0 to the nearest tenth

Hope this helps you

0,0(0 оценок)