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3 years ago

15

Help please !!! I’m stuck on these problems

1 answer:

Sauron [17]3 years ago

4 0

Answer:

$b=6.8\ units$

Step-by-step explanation:

we know that

Applying the law of sines in the triangle ABC

$\frac{AB}{sin(C)}=\frac{AC}{sin(B)}$

substitute the given values

$\frac{15}{sin(140\°)}=\frac{b}{sin(17\°)}$

Solve for b

$b=(sin(17\°))\frac{15}{sin(140\°)}$

$b=6.8\ units$

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3 years ago

How to solve the system of equation 500y-600x=2800 , 400y-400x=2400 by elimination

tatiyna

Answer:

$x=2$ and $y=8$

Step-by-step explanation:

Given:

Equation 1:

$500y-600x=2800$

Simplifying the above equation by dividing both sides by 100

$\frac{500y-600x}{100}=\frac{2800}{100}$

$\frac{500y}{100}-\frac{600x}{100}=28\\\\5y-6x=28$

Equation 2:

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Simplifying the above equation by dividing both sides by 400.

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Now the system of equation is:

(1a) $5y-6x=28$

(2a) $y-x=6$

Solving by elimination

Multiplying equation (2a) with $-5$

$-5(y-x)=-5\times 6$

(2b) $-5y+5x=-30$

Adding equations (1a) and (2b) in order to eliminate $y$

$5y-6x=28$

+ $-5y+5x=-30$

We get $-x=-2$

∴ $x=2$

Plugging $x=2$ in equation (2a).

$y-2=6$

Adding $2$ both sides.

$y-2+2=6+2$

∴ $y=8$

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Step-by-step explanation:

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