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Ronch [10]
3 years ago
11

A long distance runner starts at the beginning of a trail and runs at a rate of 6 miles per hour. One hour later, a cyclist star

ts at the beginning of the trail and travels at a rate of 14 miles per hour. What is the amount of time that the cyclist travels before overtaking the runner?
Mathematics
1 answer:
sasho [114]3 years ago
5 0
The answer to this is 50 minutes. by then the runner has gone 11 miles in an hour and 50min and the cyclist has gone 11 miles also 
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Can you please help me solve for the area
ycow [4]

Answer:

area is equal to 198 cm^2

Step-by-step explanation:

the height h of the left triangle can be obtained by

Pytagoras theorem:

5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12

the, the area of the left triangle is

A_1=\frac{5*12}{2} \\A_1=5*6\\A_1=30

the area of the right triangle is

A_2=\frac{2*12}{2} \\A_2=12

and the area of the rectangle in the middle is

A_3=(13)(12)\\A_3=156

Por tanto, el area total sera

A=A_1+A_2+A_3\\A=30+12+156\\A=198

8 0
3 years ago
A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t
borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

Now, the total height of the statue will be:

TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

Have a nice day!

8 0
3 years ago
Describe the end behavior of the function. f(x)=x^3+11x^2+35x+30
Lelechka [254]
To determine end behavior, we only have to look at the leading term.

First, the leading term is positive, so we won't have to negate anything.

The leading term has a power that is odd.

Since the exponent is odd, this means that the function goes to positive infinity as x goes to positive infinity.

This also means that the function goes to negative infinity as x goes to negative infinity.

Those are the end behaviors.

Have an awesome day! :)
4 0
4 years ago
PLEASE HELP I WILL MARK YOU BRAINLIEST
eimsori [14]

Answer:

The correct answer is A. The base of the rectangular prism must be 12 units because the height is 2 units, and 2 multiplied by 12 is 24, which is the total volume of the prism.

8 0
3 years ago
A recursive rule for an arithmetic sequence is a1=4;an=an−1−3.
Nikitich [7]
You can see the answer from the picture

3 0
3 years ago
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