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Pani-rosa [81]
3 years ago
15

382,706 in expanded form

Mathematics
1 answer:
tamaranim1 [39]3 years ago
8 0
300,000 + 80,000+2,000+700+0+6 , is your answer.
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. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads
Liula [17]

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = \frac{distance}{time}

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = 105^{o}

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

                               = 3000 m

                               = 3 km

Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

                               = 5 km

The distance between them, a, can be determined by applying the cosine rule;

a^{2} = b^{2} + c^{2} - 2bcCos A

   = 5000^{2} + 3000^{2} -2(5000 x 3000) Cos 105

   = 5000^{2} + 3000^{2} -2(5000 x 3000) x (-0.2588)

   = 2.5 x 10^{7} + 9 x 10^{6} + 7764000

   = 41764000

a = \sqrt{41764000}

  = 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

4 0
2 years ago
BRAINLIEST <br> Please help ASAP and leave a small explanation :)
Andreas93 [3]
1 and 8 are because they are alternate exterior angles
3 0
3 years ago
Mateo reproducira una foto que mide 5 cm por lado a una escala de 3/4
Aneli [31]

the question in English

Mateo will reproduce a photo measuring 5 cm per side on a scale of 3/4

How much will the square side of the copy measure?

Will the size of the copy be larger or smaller than the original?

we know that

the scale factor is equal to \frac{3}{4}

Let

x----------> the original length side

y--------> the copy length side

y=\frac{3}{4}*x

we have that

x=5\ cm

substitute the values

y=\frac{3}{4}*5=3.75\ cm

therefore

<u>the answer Part a) is </u>

the length side of the copy measure is 3.75\ cm

Part b)

we know that

the size of the original photo is------> 5*5=25\ cm^{2}

the size of the copy is------> 3.75*3.75=14.06\ cm^{2}

so

14.06\ cm^{2} < 25\ cm^{2}

therefore

<u>the answer part b) is</u>

The size of the copy be smaller than the original



3 0
3 years ago
A store owner puts in an order for product X and product Y for a total of 4,000 units. It costs $0.10 per item to ship of produc
lyudmila [28]

Answer:

0.1x+0.04y=4,000

x+y=352

Step-by-step explanation:

5 0
3 years ago
Mapping diagram: Is it a function? (yes /<br> no<br> ) Why or why not?
sashaice [31]
<h3>It is a function</h3>

Why? Because each input maps to <u>exactly one</u> output. The input oval represents the domain (set of all possible inputs). The output oval is the range, which is the set of all possible outputs. If we had something like the input 0 mapping to the outputs 2 and 4 at the same time, then we wouldn't have a function.

5 0
2 years ago
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