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stepan [7]
3 years ago
6

Nolan rides his bike 63 miles in 270 minutes. What is his average speed in miles per hour?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
4 0
63 miles in 270 minutes will mean that nolan rides his bike at a distance of 63/270 miles in one minute.
there are 60 minutes in an hour. So to find out the distance he covers in 1 hour, 63/270 × 60 will give you 14 miles.
Since the question is asking for the average speed, nolan rides his bike at 14 miles per hour i think.
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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa
Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

V = a^2h\\\\4096 = a^2 h ..... (1)

surface area of the solid  

S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2}    from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches

So, h = 40.2 inches

5 0
2 years ago
Please help me with this one
JulsSmile [24]

Answer:

I DESERVE BRAINLIEST

Step-by-step explanation:

C=5.5*2*PI

C=11*pi

C=34.5575191895

C= 34.56

A=pi*5.5^2

A=30.25*Pi

A= 95.0331777711

A= 95.03

5 0
3 years ago
Read 2 more answers
There are 5 green marbles, 4 red marbles, and 3 yellow marbles , determine the probability that two green marbles are chosen
frez [133]
Most likely green would be chosen but since they are mixed together u will mostly get yellow
5 0
3 years ago
The motion of a ball scooped by a field hockey player can be modeled by h=-16t^2+40t, where t is the time in seconds and h is th
tester [92]
25 = -16t^2 + 40t

16t^2 - 40t  + 25 = 0

(4t - 5)(4t - 5) = 0

4t - 5 = 0

t = 5/4 = 1.25 seconds.
5 0
3 years ago
In a certain isosceles triangle, the base is 1 1/2 times as long as each leg and the perimeter is 63. How long is the base?
son4ous [18]

Answer:

The base is 27 units long.

Step-by-step explanation:

This is a solve the system question. Call the length of the base B and the length of each leg L. We are told:

B=1.5L

and

B+2L=63

Sub the first equation into the second:

1.5L+2L=63\\3.5L=63\\L=18

Now that we have the leg length, sub that into either of the original equations to find the base. I'll use the first equation:

B=1.5(18)\\B=27

6 0
2 years ago
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