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vova2212 [387]
3 years ago
13

Jana ran the first 3 and a half miles of a 5 mile race in 1 3rd of an hour. what was her average rate, in mph, for the first par

t of the race? explain how you solve the problem.
7.RP.1, 7.NS.3
Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

always try to draw a diagram first

Step-by-step explanation:

Jana ran The first 3.5 miles in 1/3 of an hour. remember the problem tells us that we want our answer in miles per hour or mph. so we have to set up our problem so that our units match in the end. The diagram above shows 3.5 mi over 1/3 hour. so we must divide 3.5 miles by 1/3 hour

note:

3 \frac{1}{2} mi =  \frac{7mi}{2}

therefore

\frac{7mi}{2}  \:  \div  \:  \frac{1hr}{3}  =

\frac{7mi}{2}  \times  \frac{3}{1hr}  =  \frac{21mi}{2hr}  = 10 \frac{1}{2}  \frac{mi}{hr}

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<u>Question:</u>

Which statements are true regarding the area of circle D? Select two options.

The area of the circle depends on the square of the radius.

The area of circle D is 36Pi centimeters squared.

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<u>Answer:</u>

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<u>Step-By-Step Explanation:</u>

As we know, the formula for area of the circle is given by,

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Where, r = radius of the circle. In figure, CD = radius = 18 cm

So, the circle area can be measured as

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From this, concluding that the circle area depends on radius square and its value is 324 \pi \mathrm{cm}^{2}. Hence, the statement given in option A and C are correct (reveals that option B is incorrect).  

As the Pi is constant, the circle radius cannot depend on Pi value and Option D also incorrect. The area of sector of circle only depends on ratio of central angle to entire circle (So option E also incorrect).

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