Answer:
12.5r + 200 = 12.5*2r
Step-by-step explanation:
<h3>Given</h3>
Rate of Hoppertunity = r
Rate of Dortmund = 2r as it is twice as fast
<h3>Solution</h3>
Let the distance Hoppertunity runs be d, then the distance Dortmund runs is d + 200 m
Since it took 12.5 seconds Dortmund to catch Hoppertunity, it can be expressed as:
- d = 12.5r for Hoppertunity
- d + 200 =12.5*2r for Dortmund
<u>By replacing d in the second equation, we get:</u>
<u>Soving</u>:
- 12.5r = 200
- r = 200/12.5
- r = 16 m/sec
Hoppertunity's rate is 16 m/sec
Dortmund's rate is 32 m/sec
Answer:
Final simplified form is 
Step-by-step explanation:
We have been given an expression 
Now we need to simplify and check which choice matches with simplified form of .
You missed to provide the choices but still we simplify that.
When there is negative sign inside square root then we replace that by "i" iota.
Hence final simplified form is
Answer:
x ≈ 23.31
Step-by-step explanation:
We can use the law of cosines because we know 2 sides and 1 angle.
The general formula for the law of cosines if the triangle sides are a, b,c and α is the angle between sides a and b. c is the missing side.
In our problem the law of cosines is
x = 
x ≈ 23.31
Answer:
H
Step-by-step explanation:
Answer:
Circumference ≈ 82.9
Step-by-step explanation:
The formula for calculating the circumference of a circle is:
C = 2πr
Where 3.14 is pi (as stated on your screen)
And r is the radius.
Knowing this substitute those values
C = 2(3.14)(13.2)
Multiply 2 and 3.14.
C = (6.28)(13.2)
Multiply 6.28 and 13.2.
C = 82.9 when rounded.
