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Pani-rosa [81]
2 years ago
9

3. A circular running track is 14 mile long. Elena runs on this track, completing each lap in 120of an hour. What is Elena’s run

ning speed? Include the unit of measure. [3 points]
Mathematics
1 answer:
larisa [96]2 years ago
6 0

Answer:

2.22m/s

Step-by-step explanation:

Distance = Velocity/Time

533.33m = V/4minutes

V = 533.33/240 seconds

V = 2.22m/s

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Which point is a solution
blagie [28]

Answer:

A

Step-by-step explanation:

To determine which point is a solution, substitute the x- coordinate into the right side of the inequality and compare it's value to the y- coordinate of the point.

A (0, 2)

2x - 1 = 0 - 1 = - 1 → 2 ≥ - 1 ⇒ (0, 2) is a solution

B (4, 1)

2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 →  1 < 7 ⇒ (4, 1) is not a solution

C (0, - 10)

2x - 1 = 0 - 1 = - 1 → - 10 < - 1 ⇒ (0, - 10) is not a solution

D (4, 2)

2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 2 < 7 ⇒ (4, 2) is not a solution

4 0
2 years ago
How do you integrate arctan(x dx? i think that if you simplify the integral you get:?
Temka [501]
Integration by parts will help here. Letting u=\arctan x and \mathrm dv=\mathrm dx, you end up with \mathrm du=\dfrac{\mathrm dx}{1+x^2} and v=x. Now

\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du
\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx

For the remaining integral, setting y=1+x^2 gives \dfrac{\mathrm dy}2=x\,\mathrm dx, so

\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C

Putting everything together, you end up with

\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C
6 0
2 years ago
Hey! Please find the value of x, so I can find the value of angle H! Thanks
o-na [289]
Hey there! :D

The congruence marks on the trapezoid make the angles congruent. This makes opposite angles supplementary. (Because all the angles in a trapezoid add up to 360 degrees)

12x-31+6x-5= 180

18x-36= 180

Add 36 to both sides. 

18x= 216 

Divide both sides by 18. 

x= 12

You can just plug that in to find m<H. 

6x-5

6(12)-5

72-5

m<H= 67

I hope this helps!
~kaikers




3 0
3 years ago
Ea+ec=5.40, ec*2=s,ea/2=s<br><br> What is Ec?
alexandr402 [8]
I have no idea I am only in  Middle School

3 0
2 years ago
I will give brainly help.
Burka [1]

Answer:

Company G charges 5 more dollars per hour than Company H.

5 0
2 years ago
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