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Oliga [24]
3 years ago
13

Determine the space (area) needed to build the new track.

Mathematics
1 answer:
charle [14.2K]3 years ago
7 0

Answer:

The area needed is 13,000 square feet.

Step-by-step explanation:

The total space (area) = area of the square + area of the two half circles

=> Total area = area of square + area of the circle (as adding the two halves makes a complete circle)

i.e \\ total \: area \:  = 51 \times 250 + \pi( {r}^{2} ) \\ total \: area \:  = 12750 + \pi( {25.5}^{2} ) \\ total \: area \:  = 12750+ 251 \\ total \: area \:  = 13000 \: square \: feet

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there are 9 students that play tennis. if 75% of the students do not play tennis, how many are in the class
Paha777 [63]
So 9 students = 25% (100%-75%=25%)
100 : 25 = 4
4 * 9 =
36 students


7 0
3 years ago
The general solution of 2 y ln(x)y' = (y^2 + 4)/x is
Sav [38]

Replace y' with \dfrac{\mathrm dy}{\mathrm dx} to see that this ODE is separable:

2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}

Integrate both sides; on the left, set u=y^2+4 so that \mathrm du=2y\,\mathrm dy; on the right, set v=\ln x so that \mathrm dv=\dfrac{\mathrm dx}x. Then

\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v

\implies\ln|u|=\ln|v|+C

\implies\ln(y^2+4)=\ln|\ln x|+C

\implies y^2+4=e^{\ln|\ln x|+C}

\implies y^2=C|\ln x|-4

\implies y=\pm\sqrt{C|\ln x|-4}

4 0
2 years ago
Solve the equation ( 32<br> 3) (33) = 36<br> =<br> X
Allisa [31]

Answer: D. -30

Step-by-step explanation: EDGE 2022 I GOT 100%

3 0
2 years ago
Calculate the simple interest on a loan of $9000 at an interest rate of 8% for 6 years? PLEASE HELP MEEE​
andre [41]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the equation for this math problem? Steven spent $90 on clothes. He bought a pair of jeans that cost $34 and spent the r
dexar [7]

Answer:

The equation for the given maths problem is $ 34 + $ 8x = $ 90  

Step-by-step explanation:

According to question :

The Total amount spent on  cloths = $ 90

The cost of a pair of jeans  = $ 34

The cost of each t-shirt pair = $ 8

The amount spent on t-shirt = $ 90 - $ 34 = $ 56

Let the number of t-shirt pair = x

So, $ 34 + $ 8x = $ 90

Or,  $ 8x = $ 90 - $ 34

∴         x = \frac{ 90 -  34}{8}

Hence The equation for the given maths problem is $ 34 + $ 8x = $ 90  Answer

8 0
3 years ago
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