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vlabodo [156]
4 years ago
14

Tarzan Swims a distance of 1.5 km at an average speed of 2.5 km/h,cycles 40 km in 1 and 1/2 and runs at an average speed of 9km/

h for1 1/9h.find the average speed of all.
Mathematics
1 answer:
Dmitrij [34]4 years ago
7 0

Answer:

Average speed = 50.5/2.211 = 22.84 km/h

Step-by-step explanation:

First phase;

Tarzan Swims a distance of 1.5 km at an average speed of 2.5 km/h,

Time taken = 1.5/2.5 = 0.6 hour

Second phase;

cycles 40 km in 1 and 1/2 hours

Time taken = 1.5 hours

Third phase;

Runs at 9km/h for1 1/9h

Time taken = 1.111 hour

Average speed = total distance travelled/total time taken

Total distance travelled = 1.5+40+9= 50.5km

Total time taken = 0.6+1.5+1.111 = 2.211 hour

Average speed = 50.5/2.211 = 22.84 km/h

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Find the area and circumference of a circle with radius 2 cm use 3.14 for pie do not round answers
Vlad1618 [11]

Answer:

The area is 12.56, and the circumference is 12.56.

Step-by-step explanation:

For the area,

We need to use the formula A=3.14*radius*radius

So we plug it in, and we get 3.14*2*2, which is 12.56 centimeters squared.

For circumference, we need to do,

C = 3.14*diameter

To find the diameter we need to do 2 (radius) x 2 which is 4

Plugging it in that would be 3.14 * 4 which is 12.56

So, in this case, the area is 12.56, and the circumference is also 12.56.

3 0
3 years ago
The cancellation property sin−1(sin(x)) = x is valid for x in what interval
pochemuha

Answer:

It is given that : Sin^{-1}(Sin (x) =x

As we have to find the Domain of Sin^{-1}(Sin (x).

-1 ≤ sin x ≤1

Sin^{-1}(-1)\leq Sin^{-1}(Sin x)\leq Sin^{-1}(1)\\\frac{-\pi}{2}\leq x\leq \frac{\pi }{2}

So it is defined for x lying between (\frac{-\pi}{2}, \frac{\pi }{2}) .

As meaning of Domain is those values of x for which any function f(x) is defined.

4 0
3 years ago
Find the average value of the function f(t)=cos13(5t)sin(5t) f(t)=cos13⁡(5t)sin⁡(5t) on the interval [4,10].
Vilka [71]
The average value is given by

\displaystyle\frac1{10-4}\int_4^{10}\cos^{13}5t\sin5t\,\mathrm dt

Setting y=\cos5t, you get \mathrm dy=-5\sin5t\,\mathrm dt, and the integral becomes

\displaystyle-\frac1{30}\int_{\cos20}^{\cos50}y^{13}\,\mathrm dy
=-\dfrac1{30}\dfrac{y^{14}}{14}\bigg|_{y=\cos20}^{y=\cos50}
=-\dfrac{\cos^{14}50-\cos^{14}20}{420}\approx-0.00145
6 0
4 years ago
a car covers a distance of 490 km with a speed of 70km and then covers a speed of 90km calculate its average speed
DaniilM [7]
Average speed = total distance divided by total time.

In the first part, the car covered 490 km in 7 hours, but I think you mistyped the second part (“then covers a speed of 90km”) and a critical piece is missing to find the total distance and time.
3 0
3 years ago
You have for bookshelves, each 2 1/3 feet wide. How many feet of wall space will all 4 take up if they are placed into end?
Sladkaya [172]

Answer: 9 1/3

Step-by-step explanation: There are four of them and, assuming there is no space in between them, they all take up the same amount of space. So that means, if they were added up, it’d be 2 1/3 +2 1/3 + 2 1/3 +2 1/3. That can be simplified to 4 x (2 + 1/3). When multiplied, it equals 8 + 4/3=8 + 1 +1/3=9 + 1/3=9 1/3.

4 0
3 years ago
Read 2 more answers
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