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olga2289 [7]
3 years ago
15

Meghan ran nine twelfths of a mile and skipped eight twelfths of a mile around a track. How far around the track did Megan go in

total? Use the benchmark fraction one half , 1, and 0 to help you estimate each answer before you solve. a one twelve mile b one and five twelfths miles c one and seven twelfths miles d twelve seventeenths mile
Mathematics
2 answers:
cupoosta [38]3 years ago
4 0

Answer: megan went a total distance of 1 5/12 miles or 17/12 (use which ever you need)

Step-by-step explanation:

Here, we want to calculate the total distance worked around the track

We are told that she ran 9/12 and skipped 8/12

The total distance around the track will be the sum of these two

Mathematically, that will be;

9/12 + 8/12= 17/12 but if wanted in mixed fraction 1\frac{5}{12}

Katena32 [7]3 years ago
3 0
Okay so, we want to add both 9/12 and 8/12 which will lead us to 17/12! Now since this is an improper fraction we turn it into a mixed number (if you need to) and the mixed numbers is 1 and 5/12!
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hichkok12 [17]

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

d*sin(\theta) = m\lambda

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle              

At the first-order maximum (m=1) at 20.0 degrees we have:

\frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342

Now, to produce a second-order maximum (m=2) the angle must be:

sin(\theta) = \frac{\lambda}{d}*m

\theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ}

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.    

I hope it helps you!                                                        

6 0
3 years ago
If y= (2x^2+x)^3 +(x-1) /(1-x). find dy dx​
Mrrafil [7]

Answer:

Step-by-step explanation:

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Justify Reasoning Determine whether 3x + 12 + x is equivalent to 4(3 + x). Use properties of operations to justify your answer.
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For 3x + 12 + x, do like terms:
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4 0
3 years ago
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LUCKY_DIMON [66]

Answer:

25/2 I believe

Step-by-step explanation:

4 0
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Alex787 [66]

Answer:

x=0 is your answer

Step-by-step explanation:

(6 + 8) + x = 14

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5 0
3 years ago
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