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goldenfox [79]
3 years ago
8

Question part points submissions used a 20-ft-by-30-ft swimming pool is filled with water. the depth is measured at 5-ft interva

ls, starting at one corner of the pool, and the values are recorded in the table. estimate the volume of water using the midpoint rule with m = 2 and n = 3.
Mathematics
1 answer:
Readme [11.4K]3 years ago
5 0
<span>vwedfaaefgdsfddfsSdgathegerRHEHADSHsghgdn</span>
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The area of a circle is 43.25cm2.<br> Find the length of the radius rounded to 2 DP.
Monica [59]

Answer:

3.71 cm

Step-by-step explanation:

Hi there!

Area of a circle equation: A=\pi r^2 where r is the radius

Plug in the area 43.25 cm²

43.25=\pi r^2

Divide both sides by π to isolate r²

\frac{43.25}{\pi} =\frac{\pi r^2}{\pi} \\\frac{43.25}{\pi}=r^2

Take the square root of both sides to isolate r

\sqrt{\frac{43.25}{\pi}} =r\\3.71=r

Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.

I hope this helps!

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Solve the system graphically<br> 1. x-2y=6 and 3x+2y=-6<br><br> 2. x-y=0 and 2x+3y=-5
zysi [14]

Step-by-step explanation:

1)The given equations are:

x − 2y = 6 ...(i)

3x − 6y = 0 ...(ii)

Putting x = 0 in equation (i) we get

=> 0 - 2y = 6

=> y = -3

x = 0, y = -3

Putting y = 0 in equation (i) we get

⇒x-2×0=6

⇒x=6

x = 6, y = 0

Use the following table to draw the graph

x 0 6

y -3 0

Plotting the two points A(0, -3) and B(6,0) equaion (1) can be drawn

Graph of the equation ..(ii)

3x - 6y = 0 ...(ii)

Putting x = 0 in equation (ii) we get

⇒3×0-6y=0

=> y = 0

x = 0, y = 0

Putting x = 2 in equation (2) we get

⇒3×2-6y=0

=> y = 1

x = 2, y = 1

Use the following table to draw the graph.

x 0 2

y 0 1

Draw the graph by plotting the two points O(0,0) and D(2,1) from table

We see that the two lines are parallel, so they won’t intersect

Hence there is no solution

2)

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