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Semmy [17]
3 years ago
13

Find the number from the expanded form 3* 10^4 + 7 x 10^2 + 5 x 10^0

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Answer:

A)30705

Step-by-step explanation:

3* 10^4 + 7 x 10^2 + 5 x 10^0

Evaluate the exponent

3⋅10^4+7⋅10^2+5⋅10^0

3⋅10000+7⋅10^2+5⋅10^0

Multiply the numbers

3⋅10000+7⋅10^2+5⋅10^0

30000+7⋅10^2+5⋅10^0

Evaluate the exponent

30000+7⋅10^2+5⋅10^0

30000+7⋅100+5⋅10^0

Multiply the numbers

30000+7⋅100+5⋅10^0

30000+700+5⋅10^0

Evaluate the exponent

30000+700+5⋅10^0

30000+700+5⋅1

Multiply the numbers

30000+700+5⋅1

30000+700+5

Add the numbers

30000+700+5

30705

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Solve the system of 2x-5y+z=1 3 y+2z=5-24z=48
motikmotik
<span>A) 2x -5y +z = 1
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3 years ago
Two ships leave the same port at the same time. Two hours later ship A has traveled 12 miles and ship B has traveled 8 miles.
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Answer:

the angle between their paths is <em>100.8°</em>

Step-by-step explanation:

From the given information, you can construct a triangle, just like the one in the figure.

We will use the <em>Cosine Rule</em> which is:

c² = b² + a² - 2 b c cos(θ)

where

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Therefore,

2 b c cos(θ) = b² + a² - c²

cos(θ) = (b² + a² - c²) / 2 b c

θ = cos⁻¹( (b² + a² - c²) / (2 b c) )

θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )

<em>θ = 100.8°</em>

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Therefore, the angle between their paths is <em>100.8°</em>

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