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dsp73
3 years ago
5

What is 1,200/2,000 in a fraction

Mathematics
1 answer:
andreev551 [17]3 years ago
7 0
1200/200 in a simplified form is
3/5
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To find the distance AB across a river, a distance BC of 415 m is laid off on one side of the river. It is found that B = 112.2°
sweet-ann [11.9K]

Answer:

AB or the distance across the river is about 171.36 meters.

Step-by-step explanation:

Please refer to the diagram below (not to scale). The area between the two blue lines is the river.

To find AB, we can use the Law of Sines. Recall that:

\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}

BC (or <em>a</em>) is opposite to ∠A and AB (or <em>c</em>) is opposite to ∠C. Thus, we will substitute in these values.

First, find ∠A. The interior angles of a triangle must total 180°. Thus:

m\angle A + m\angle B + m\angle C = 180^\circ

Substitute:

\displaystyle m\angle A + (112.2^\circ) +(18.3^\circ) = 180^\circ

Solve for ∠A:

m\angle A = 49.5^\circ

Substitute BC for <em>a</em>, AB for <em>c</em>, 49.5° for <em>A</em> and 18.3° for <em>C</em> into the Law of Sines. Thus:

\displaystyle \frac{\sin 49.5^\circ}{BC} = \frac{\sin 18.3^\circ}{AB}

Since BC = 415 m:

\displaystyle \frac{\sin 49.5^\circ}{415} = \frac{\sin 18.3^\circ}{AB}

Solve for AB. Cross-multiply:

\displaystyle AB \sin 49.5^\circ = 415\sin 18.3^\circ

And divide:

\displaystyle AB = \frac{415\sin 18.3^\circ}{\sin 49.5^\circ}

Use a calculator. Hence:

AB = 171.3648...\approx 171.36\text{ m}

AB or the distance across the river is about 171.36 meters.

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2 years ago
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Answer:

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0.19

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2 years ago
Solve for x where xe(0,2pi). state exact answers.
kupik [55]

Answer:

that's the correct answer

6 0
2 years ago
A school cotains 357 boys and 323 girls if a student is chosen at random, what is the probability that it is a girl
solong [7]

Answer:

P(G)=0.475

Step-by-step explanation:

From the question we are told that:

Number of boysN_b=357

Number of girls N_g=323

Total Number of students

N_t=N_b+N_g

N_t=680

Generally the equation for Probability of Choosing a Girl is mathematically given by

P(G)=\frac{N_g}{N_t}

P(G)=\frac{323}{680}

P(G)=0.475

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2 years ago
The overnight temperature in Tampa never reached below 40 f during November which inequality shows that
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3 years ago
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