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schepotkina [342]
4 years ago
15

10, 166.463632 rounded to the nearest whole number

Mathematics
1 answer:
Sindrei [870]4 years ago
5 0
The answer is 10,167
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To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
kati45 [8]

Given:

Angle A = 18.6°

Angle B = 93°

Length of side AB = 646 meters

To find:

the distance across the river, distance between BC

Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

                    ∠C = 68.4°

Therefore the measure of angle C is 68.4°.

now we can use the law of Sines,

\frac{BC}{sinA}=\frac{AB}{SinC}

\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}

BC[sin(68.4)] = 646 [sin(18.6)]

BC = \frac{646*sin(18.6)}{sin(68.4)}

BC = \frac{646 * 0.3190}{0.9298}

BC = 221.63

BC = 222 meters

Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

7 0
3 years ago
How many sides a standard nonagon have
kupik [55]
A Nonogon has a whopping 9 sides

hope this helps! :D
3 0
3 years ago
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What are the names of these angles???
Semmy [17]

Answer:

4) alternate exterior

6) alternate interior

5 0
3 years ago
Write the slope intercept equation of a line that passes through points (-3,4) and (2, -6)
Setler [38]
Find slope by calculating rise over run.
-6-4 / 2-(-3)
-10/5
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Then plug one set of coordinates and the slope in to find the b value
-6= -2(2)+b
-6=-4+b
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8 0
3 years ago
A study indicated that residents of manchester wasted 2695 gallons of water this tear. That is 50% less than last year . How man
Alenkasestr [34]

Answer:

5390 gallons of water was wasted by the city's residents last year.

Step-by-step explanation:

Let x denotes gallons of water wasted by the city's residents last year.

Gallons of water wasted by the city's residents this year = 2695 gallons

This is 50% less than last year.

Therefore,

x-\frac{50}{100}x=2695\\\\\frac{50}{100}x=2695\\\\\frac{x}{2} =2695\\\\x=2(2695)

x=5390 gallons

So, 5390 gallons of water was wasted by the city's residents last year.

7 0
3 years ago
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