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Setler79 [48]
3 years ago
12

The number of miles Melody rides her bicycle, m, varies directly with the amount of time spent riding the bike, t. When Melody b

ikes for 1.5 h, she travels 10.5 mi. Which equation shows this direct linear variation?
A.
m = 7t

B.
m = 7.5t

C.
m = 12t

D.
m = 15.75t
Mathematics
2 answers:
Minchanka [31]3 years ago
8 0


the answer is A. m=7t     You get your answer by dividing 7 into m

m=10.5 miles    10.5 divided by 7 equals 1.5    time is 1.5 hours

Korolek [52]3 years ago
3 0

Answer: The Answer Is A. m = 7t

Step-by-step explanation:

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A cylindrical grain bin has a radius of 7 feet and a height of 25 feet. How many cubic feet can the unit hold?
Alex17521 [72]

Answer:

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Step2247 [10]

Answer:

A = 297\pi

Step-by-step explanation:

To solve this problem we need to be familiar with the formula for the surface area of a cone:

A = \pi r(r + \sqrt{h^2+r^2})

We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:

r = \frac{d}{2}\\r = \frac{18}{2}\\r = 9 cm

To calculate the height of the cone, we must use the Pythagorean Theorem:

C^2 = A^2 + B^2

We can treat the side length as the hypotenuse C, the radius as the base A, and solve for height B. Set the expression up like this:

C^2 = A^2 + B^2\\24^2 = 9^2 + B^2\\B^2 = 24^2 - 9^2\\B = \sqrt{24^2 - 9^2}\\B = \sqrt{576 - 81}\\B = \sqrt{495}\\B \approx 22.25

Now we can plug into our original formula:

A = \pi r(r + \sqrt{h^2+r^2})\\A = \pi 9(9+\sqrt{\sqrt{495}^2+9^2}\\A = \pi 9(9+\sqrt{495 + 81}\\A = \pi 9(9+\sqrt{576})\\A = \pi 9(9 + 24)\\A = \pi 9(33)\\A = 297\pi

5 0
2 years ago
Use the unit circle tan (3/4)
Mariana [72]

Using the unit circle, the coordinates of 3π/4 is :

(-\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2})

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This will be :

\frac{\sqrt[]{2}}{2}\div(-\frac{\sqrt[]{2}}{2})=-1

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