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3 years ago

9

Solve the following triangle. Round all values to the nearest tenth:

1 answer:

lorasvet [3.4K]3 years ago

5 0

We can use the Law of Sines (sinA/a=sinB/b=sinC/c)

sinC/22=sin102/30

C=arcsin(22sin102/30)

C≈45.83° (to nearest hundredth of a degree), since A+B+C=180

B≈32.17° (to nearest hundredth of a degree)

sin102/30=sin32.17/b

b=30sin32.17/sin102

b≈16.33 (to nearest hundredth of a unit)

So a,b, and c are 30, 16.33, 22 respectively and:

A,B, and C are 102°, 32.17°, and 45.83° respectively.

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the weight M of an object on Mars varies directly as it’s weight E on Earth. A person who weighs 95 lb on Earth weighs 38 lb on

lorasvet [3.4K]

Answer:

A 100 lb person will weight 40 lb on Mars

Step-by-step explanation:

Given:

Weight on Mars directly varies as its weight on earth.

Let weight on Mars be = $M$

Let weight on Earth be = $E$

Its known that:

$M$ ∝ $E$

Thus

$M=kE$

where $k$ is constant of proportionality.

when $E=95\ lb$ , then $M=38\ lb$

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$38=k(95)$

dividing both sides by 95.

$\frac{38}{95}=\frac{k(95)}{95}$

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Thus when $E= 100$ , $M$ would be calculated as

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$M=\frac{3800}{95}$

∴ $M=40\ lb$ (Answer)

∴ A 100 lb person will weight 40 lb on Mars.

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Read 2 more answers

It Says Least To Greatest With These Numbers 7/12 0.75 5/6

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If you mean what I think you mean then I think it is
7/12, 5/6, and then 0.75
I could be wrong though but I hope I am right good luck

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