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Paraphin [41]
3 years ago
10

Please help me with this problem ASAP, Thanks!!​

Mathematics
1 answer:
Tema [17]3 years ago
6 0

Answer:

x=28

y= -4

Step-by-step explanation:

9x+6y= -12

-x-4y= -12

multiply -x-4y=-12 by 9 so the x's are equal

9x+6y= -12

-9x-36y= -108

add the equations so the x's cancel out

-30y=120

y= -4

plug y into an equation to find x

-x-4(-4)=-12

-x+16= -12

-x= -28

x=28

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F) One number is 78 more than
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Answer:

The larger number = 116

Step-by-step explanation:

Let the smaller number = x

Given that one number is 78 more than  another, so

The larger number = x+78

Given that if we add 12 to the  smaller number, the result is 50, so

x+12=50

subtract 12 from both sides

x+12-12=50-12

Simplify

x=38

Therefore,

  • The smaller number = 38
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Thus, the larger number = 116

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Jasmin's dog weighs 55 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 42 pounds. Jasm
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if theta is in the first quadrant sin left parenthesis t h e t a right parenthesis equals 0.17 then what is tan left parenthesis
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The value of tan\theta in the first quadrant is approximately 0.173.

There are 4 quadrants inside the cartesian aircraft. All trigonometric ratios of sin, cos, tan are high quality inside the first quadrant.in the 2nd quadrant simplest sin is advantageous rest are negative.  within the 1/3 quadrant simplest tan is wonderful inside the fourth quadrant best cos is fantastic.

Given sin \theta=0.17 and \theta is in the first quadrant.

We know from trigonometrical identities that

sin^2\theta+cos^2\theta=1

Substituting the value of  sin \theta in the above equation we get:

or, (0.17)^2+cos^2\theta=1\\or,cos^2\theta=1-0.0289\\or.cos\theta=\pm\sqrt{0.9711}\\or,cos\theta=\pm 0.98544...

As \theta lies in the first quadrant then the value of cos\theta is positive.

∴cos\theta\approx0.98544

From the properties of trigonometry we know that :

tan\theta=\frac{sin\theta}{cos\theta}

or,tan\theta=\frac{0.17}{0.98544} \\or,tan\theta=0.17251\\or,tan\theta\approx0.173

The value of tan\theta is approximately 0.173 to the nearest thousandth . The value is positive as the angle lies in the first quadrant.

To learn more about quadrant and trigonometric ratios:

brainly.com/question/7196312

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