The distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.
<h3>What is distance?</h3>
Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
Speed = 72 km/h
time = 45 mins = 45/60 = 0.75 hours
We know,
Distance = Speed×time
Distance = 72(km/h)×0.75(h)
Distance = 54 km
Thus, the distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.
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Answer:
<h2>x = 3.1</h2>
Step-by-step explanation:
<h3>
![{10}^{x} = 1200](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7Bx%7D%20%20%3D%201200)
</h3>
<u>To solve first take logarithm to both sides</u>
That's
<h3>
![log_{10}(10) ^{x} = log_{10}(1200)](https://tex.z-dn.net/?f=%20log_%7B10%7D%2810%29%20%5E%7Bx%7D%20%20%3D%20%20log_%7B10%7D%281200%29%20)
</h3><h3 /><h3>
![log_{10}(10)^{x} = x log_{10}(10)](https://tex.z-dn.net/?f=%20log_%7B10%7D%2810%29%5E%7Bx%7D%20%20%3D%20x%20log_%7B10%7D%2810%29%20)
</h3>
But
<h3>
![log_{10}(10) = 1](https://tex.z-dn.net/?f=%20log_%7B10%7D%2810%29%20%20%3D%201)
</h3>
So we have
![x = log_{10}(1200)](https://tex.z-dn.net/?f=x%20%3D%20%20log_%7B10%7D%281200%29%20)
<u>Write 1200 as a number with the factor 100</u>
That's
1200 = 100 × 12
So we have
<h3>
![x = log_{10}(100 \times 12)](https://tex.z-dn.net/?f=x%20%3D%20%20log_%7B10%7D%28100%20%5Ctimes%2012%29%20)
</h3>
<u>Using the rules of logarithms</u>
That's
<h3>
![log_{a}(x \times y) = log_{a}(x) + log_{a}(y)](https://tex.z-dn.net/?f=%20log_%7Ba%7D%28x%20%5Ctimes%20y%29%20%20%3D%20%20log_%7Ba%7D%28x%29%20%20%2B%20%20log_%7Ba%7D%28y%29%20)
</h3>
Rewrite the expression
That's
<h3>
![x = log_{10}(100) + log_{10}(12)](https://tex.z-dn.net/?f=x%20%3D%20%20log_%7B10%7D%28100%29%20%20%2B%20%20log_%7B10%7D%2812%29%20)
</h3><h3 /><h3>
![x = log_{10}(10)^{2} + log_{10}(12)](https://tex.z-dn.net/?f=x%20%3D%20%20log_%7B10%7D%2810%29%5E%7B2%7D%20%20%2B%20%20log_%7B10%7D%2812%29%20)
</h3><h3>
![x = 2 log_{10}(10) + log_{10}(12)](https://tex.z-dn.net/?f=x%20%3D%202%20log_%7B10%7D%2810%29%20%20%2B%20%20log_%7B10%7D%2812%29%20)
</h3><h3>
![log_{10}(10) = 1](https://tex.z-dn.net/?f=%20log_%7B10%7D%2810%29%20%20%3D%201)
</h3><h3 /><h3>
![x = 2 + log_{10}(12)](https://tex.z-dn.net/?f=x%20%3D%202%20%2B%20%20log_%7B10%7D%2812%29%20)
</h3>
x = 3.079
So we have the final answer as
<h3>x = 3.1 to one decimal place</h3>
Hope this helps you
8x5 = 40
3x2 = 6
40 - 6 = 34
answer:
area of shaded = 34
Hello, the correct answer would be B. Because if she had 250 then used 44 you would subtract 44 from 250 to find x
Hope this helps :)
Answer:
2. y=9x
3. 180*9 = 1620
Step-by-step explanation:
2. y = mx+b, so find the slop efirst
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so take the first two points you got
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(2,18) and (5,45),
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(45-18)/(5-2) = 9
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then use (2,18)
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18= 9*2+b
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so b=0
3. y = 9x
x= 180. y = 9*180 = 1620