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umka21 [38]
3 years ago
13

In △ABC, m∠A=19°, a=13, and b=14. Find c to the nearest tenth.

Mathematics
1 answer:
34kurt3 years ago
3 0
We know that
Applying the law of sines

step 1
Find the value of angle B
a=13
b=14
A=19°
so

 \frac{a}{sin A} = \frac{b}{sin B} \\ a*sin B=b*sin A \\ sin B= \frac{b}{a}*sin A \\ sin B= \frac{14}{13} *sin 19 \\ sin B=0.3506 \\ B=arc sin(0.3506) \\ B=20.5°

step 2
with angle A and angle B find the angle C
A+B+C=180-----> solve for C
C=180-(A+B)------> C=180-(19+20.5)-----> C=140.5°

step 3
\frac{a}{sin A} = \frac{c}{sin C} \\ a*sin C=c*sin A \\ c=a* \frac{sin C}{sin A}  \\ c=13* \frac{sin 140.5}{sin 19}  \\ c=25.4

the answer is
the value of c is 25.4



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Dennis_Churaev [7]

Answer:

\dfrac{x}{4}

C is correct.

Step-by-step explanation:

At a picnic,

Number of adults is 3 times as number of children.

Number of women is twice as number of men.

Total number of men, women and children at the picnic be x

Let number of children be c

Let number of men be m

Let number of women be w

# Number of women is twice as number of men, w = 2m

# Number of adults is 3 times as number of children, w + m = 3c

      2m + m = 3c     (∴  w=2m )

                c = m

Total number of men, women and children at the picnic be x

∵       c + m + w = x

     m + m + 2m = x

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5 0
2 years ago
Pls help in a middle of an exam
KIM [24]

Answer:

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Step-by-step explanation:

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Make them have common denominators so:
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Simplify:
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3 0
2 years ago
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TEA [102]

Answer:

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Step-by-step explanation:

Let's represent this using a function. Let's let:

P(y) represent the total population, and y represent the total number of years since last year.

We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

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Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.

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P(2)=110000(1.04)^2=118976

The population next year will be 118,976 people.

3 0
3 years ago
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valentinak56 [21]
That is b. aka 2
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8 0
3 years ago
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