By bike, it’s possible to travel 108 miles in 6 days. What’s the unit rate?

Mathematics

1 answer:

lbvjy [14]2 years ago

4 0

Answer:

18miles per day

Step-by-step explanation:

Just do 108/6

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A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9

o-na [289]

Answer: $12.74 ft^2/s$

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let $\theta$ is the angle between them thus

Area of triangle when two sides and angle between them is given

$A=\frac{ab\sin C}{2}$

$A=\frac{5\times 7\times \sin \theta }{2}$

Differentiate w.r.t time

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}$

at $\theta =\frac{\pi }{5}$

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9$

$\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s$

4 0

3 years ago

The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of 2 √2 .

Tems11 [23]

Quick answer I don't think this has an answer.

If you take the cos-1(2 sqrt(2)) your calculator should have a fit. Let's check that out. Mine certainly does. So there is something wrong with the question. If there is something to add in please do it and I will it least put an answer in the comments. As it stands, nothing will work.

If you put your calculator in radians, you will get an answer but it will not be anything resembling the choices you've listed.

If you meant sqrt(2) / 2 that would give 45o. Put it in your calculator like this 2 ^ 0.5 divided by 2 = 0.707
Cos - 1 (0.707) = 45

7 0

3 years ago

Read 2 more answers

Two buses leave Houston at the same time and travel in opposite directions. One bus averages 55 mi/h and the other bus averages

Veronika [31]

Well you can just keep adding 55 =1hr until you get to 400 the same with 45

6 0

3 years ago

Solve for x. 3.3x = 29.04 es A) 8.0 B) 8.2 . 8.6 D) 8.8

LenKa [72]

Answer:

The answer is D