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Natasha_Volkova [10]
3 years ago
12

Carl is on the school track team. To prepare for an upcoming race, he plans to run 207 miles total over the next 31 days. Write

an equation to determine how many miles, m, he needs to run per day, assuming he runs the same amount each day.
Mathematics
1 answer:
Mkey [24]3 years ago
8 0
207 divide 31 = 6.7 miles per day
y= days
x= distance
y=6.7
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A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as
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Answer:

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

Step-by-step explanation:

By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:

Community swimming pool

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V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)

Where:

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h – Depth of the swimming pool, measured in feet.

w – Width of the swimming pool, measured in feet.

V_{c} – Volume of the community swimming pool, measured in cubic feet.

V_{w} – Volume of the wading swimming pool, measured in cubic feet.

The ratio of the volume of the community swimming pool to the volume of the wadling pool is:

\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)

\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }

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The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

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Answer:

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Step-by-step explanation:

The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (v), measured in inches per second, is defined by following expression:

v = R\cdot \omega (1)

Where:

R - Radius of the wheel, measured in inches.

\omega - Angular speed, measured in radians per second.

If we know that R = 11\,in and \omega \approx 39.584\,\frac{rad}{s}, then the linear speed, measured in miles per hour, in which Darlene is traveling is:

v = 11\,in\times \frac{1\,mi}{63360\,in} \times 39.584\,\frac{rad}{s}\times \frac{3600\,s}{h}

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The linear speed in which Darlene is traveling is 24.74 miles per hour.

8 0
3 years ago
Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).
Maru [420]

Answer:

(-6,6), (0,12), (4,8)

Step-by-step explanation:

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Please leave a 'thanks' if this helps!

6 0
3 years ago
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