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3 years ago

Match the value with the appropriate ratio

Mathematics

1 answer:

daser333 [38]3 years ago

7 0

Step-by-step explanation:

sohcahtoa

sin (x) = 12/20

cos (x) = 16/20

tan(x) = 12/16

sin (z) = 16/20

cos (z) = 12/20

tan(z) = 16/12

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a guy walks into a store and steals $100 from register, comes back and buys $70 worth of merchandise, pys for it with same $100

kompoz [17]

<span>Let's do this step by step, we know that the guy steals $ 100 So it would be - $ 100 for the store. The men buy $ 70 merchandise WITH THE MONEY THAT HE STOLE, but the money that he stole CAME BACK to the store So up to this poin, : - $ 100 + $100 - $ 70 = - $ 70 for the store After that , the store give $ 30 cash back, So in the and : - $ 70 - $30 = - $ 100 lost for the store </span>

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29 kg of onions cost $145.how much would 12 kg cost?

Romashka-Z-Leto [24]

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4 years ago

Solve the system of equations y = 40x2 and y = 19x + 3 algebraically.

ikadub [295]

We have been given a system of nonlinear equations.

$\\y=40x^{2},y=19x+3$

In order to solve this system we can first equate the two equations in order to get a quadratic in x.

$\\40x^{2}=19x+3$

Our next step is to bring all the terms on one side.

$\\40x^{2}-19x-3=0$

Now we have to solve this equation. We can solve it by factoring using the splitting middle term method.

$\\40x^{2}-24x+5x-3=0$

$\\8x(5x-3)+(5x-3)=0$

$\\(8x+1)(5x-3)=0$

Upon setting each of these factors equal to zero using zero product property we get

$\\8x+1=0 \text{ or } 5x-3 = 0$

Upon solving both these equations we get

$\\x=-\frac{1}{8} \text{ or } x=\frac{3}{5}$

Now we can substitute these values of x in the equation

$y=19x+3$

We get

$\text{For }x=- \frac{1}{8} \Rightarrow y=19(- \frac{1}{8})+3= \frac{5}{8}\\$

$\text{For }x= \frac{3}{5}\Rightarrow y=19( \frac{3}{5})+3= \frac{72}{5}\\$

Therefore, our final set of solutions are

$(x,y)=(- \frac{1}{8},\frac{5}{8}) \text{ and } ( \frac{3}{5}, \frac{72}{5})$

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3 years ago

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Andrej [43]

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