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Harrizon [31]
4 years ago
11

Consider two circular swimming pools. Pool A has a radius of 38 feet, and Pool B has a diameter of 23.36 meters. Complete the de

scription for which pool has a greater circumference. Round to the nearest hundredth for each circumference. 1 foot ≈ 0.305 meters
Mathematics
1 answer:
Diano4ka-milaya [45]4 years ago
5 0

Answer:

Pool B

Step-by-step explanation:

circumference = 2πr

The radius of a circle is half of the diameter. In order to get both circles in the same equation format, you have to figure out the radius of pool B and convert meters to feet. So, the radius would be 11.68 meters. 11.68 meters divided by 0.305 meters equals 38.3 feet.

pool A -> 2π(38) = 238.76

pool B -> 2π(38.3) = 240.65

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Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source. The total capacitive reactance is _____.
muminat

<u>Answer</u>-

<em>The total capacitive reactance of the circuit is </em><em>7.96 Ω.</em>

<u>Solution-</u>

Two capacitors, a 20 mF and a 30 mF, are connected in parallel to a 400 Hz source.

The effective/equivalent capacitance of the circuit is,

C=20+30=50\ mF

As, when capacitors are connected together in parallel, the equivalent capacitance in the circuit is equal to the sum of capacitance of all the individual capacitor.

We know that,

X_c=\dfrac{1}{2\pi fC}

Where,

X_c = Capacitive Reactance (in Ω)

f = frequency (in Hz)

C = Capacitance (in F)

Here given,

X_c = ??

f = 400 Hz

C = 50 mF = 50\times 10^{-6} F

Putting the values in the formula,

X_c=\dfrac{1}{2\pi \times 400\times 50\times 10^{-6}}

X_c=\dfrac{10^{6}}{40000\pi}

X_c=7.96\ \Omega

Therefore, the total capacitive reactance of the circuit is 7.96 Ω.

5 0
4 years ago
If you make $391 for 17 hours how much would you make in 13 hours
svetoff [14.1K]
To find the unit rate, 391/17 gives us 23$ per hour time 13 hours is 299$ total.
6 0
3 years ago
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What is 927 divided by 9 step by step
myrzilka [38]

Answer:

103

Step-by-step explanation:

\frac{927}{9} = 103

4 0
3 years ago
Find the value of x.
serg [7]

Answer:

x = 25

Step-by-step explanation:

The Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

This means that

3x - 10 = 25 + (x+15)

3x - 10 = x + 40

Subtract x from both sides of the equation.

2x - 10 = 40

Add 10 to both sides.

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Divide both sides by 2.

x = 25

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4 years ago
Solve the system of linear equations by substitution. 8x−1/3y=0; 12x+3=y<br><br> Please help!
Elis [28]
Substitution involves replacing part of one equation with the other equation. In this case, the second equation is already solved for y. All we have to do is replace y in the first equation with 12x+3.

8x - (1/3)(12x+3) = 0

Distribute the -1/3

8x - 4x - 1 = 0

4x - 1 = 0

4x = 1

x = 1/4

Now plug 1/4 in for x to solve for y.

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3 years ago
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