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Kazeer [188]
4 years ago
8

Law of Sines. Find the

Mathematics
1 answer:
9966 [12]4 years ago
4 0

Answer:

\angle B=23.96\\\\\angle C=59.04

Step-by-step explanation:

\:The\:law\:of\:sines\:is:\\\\\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}

with\\\\A=97\\\\a=22\\\\b=9\\\\c=19

so\:we\:have\\\\\frac{\sin 97}{22}=\frac{\sin B}{9}\\\\\sin B=\frac{9\sin 97}{22}\\\\B=\sin^{-1}(\frac{9\sin 97}{22})\\\\B\approx 23.96

You\:could\:use\:the\:law\:of\:sines\:again\\\\But\:remember\:that\:the\:sum\:of\:angles\:is\:180\\\\\angle A+\angle B+\angle C=180\\\\97+23.96+\angle C=180\\\\120.96+\angle C=180\\\\\angle C=59.04

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4 years ago
Read 2 more answers
F÷−32=−31<br><br> whats the answer?
Archy [21]

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "/-32" was replaced by "/(-32)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

f/(-32)-(-31)=0

Step by step solution :

STEP

1

:

f

Simplify ———

-32

Equation at the end of step

1

:

f

——— - -31 = 0

-32

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using -32 as the denominator :

-31 -31 • -32

-31 = ——— = —————————

1 -32

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

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f • -1 - (-31 • 32) 992 - f

——————————————————— = ———————

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Equation at the end of step

2

:

992 - f

——————— = 0

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STEP

3

:

When a fraction equals zero

3.1 When a fraction equals zero

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

992-f

————— • 32 = 0 • 32

32

Now, on the left hand side, the 32 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

992-f = 0

Solving a Single Variable Equation:

3.2 Solve : -f+992 = 0

Subtract 992 from both sides of the equation :

-f = -992

Multiply both sides of the equation by (-1) :

f = 992

the answer is f = 992

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