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zalisa [80]
3 years ago
8

You are working with cable that has a loss rate of 5 dB per 100 ft. If you don’t want to lose more than 15 dB, what is the maxim

um number of feet of cable you can run
Mathematics
1 answer:
pochemuha3 years ago
6 0
300 ft

5 • 3 = 15
100 • 3 = 300
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A cylindrical tank holds 352 cu. ft. of water. The height of the tank is 7 ft. Find the
Rzqust [24]

Answer:

0.3334 ft

Step-by-step explanation:

Measure the height and radius of the tank. The radius is the distance from the center of the tank to its outer edge. Another way to find the radius is to divide the diameter, or width, by two. Square the radius by multiplying the radius times itself and then multiply it by 3.1416, which is the constant pi.

  1. Given height and volume: r = √(V / (π * h)),
  2. Given height and lateral area: r = A_l / (2 * π * h),
  3. Given height and total area: r = (√(h² + 2 * A / π) - h) / 2,
  4. Given height and diagonal: r = √(h² + d²) / 2,
  5. Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2),
  6. Given volume and lateral area: r = 2 * V / A_l,
  7. Given base area: r = √(A_b / (2 * π)),
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4 0
3 years ago
A circle has the equation 2x²+12x+2y²−16y−150=0.
KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

(x-h)^{2} +(y-k)^{2}=r^{2} (1)

Where (h,k) are the coordinates of the center and r is the radius.

Now, we are given the equation of this circle as follows:

2x^{2}+12x+2y^{2}-16y-150=0 (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

2(x^{2}+6x+y^{2}-8y-75)=0 (3)

Rearranging the equation:

x^{2}+6x+y^{2}-8y=75 (4)

(x^{2}+6x)+(y^{2}-8y)=75 (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of (a\pm b)^{2}=a^{2}\pm+2ab+b^{2}:

<u>For the first parenthesis:</u>

x^{2}+6x+b^{2}

We can rewrite this as:

x^{2}+2(3)x+b^{2}

Hence in this case b=3 and b^{2}=9:

x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}

<u>For the second parenthesis:</u>

y^{2}-8y+b^{2}

We can rewrite this as:

y^{2}-2(4)y+b^{2}

Hence in this case b=-3 and b^{2}=9:

y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}

Then, equation (5) is rewritten as follows:

(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16 (6)

<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>

Rearranging:

(x-3)^{2}+(y-4)^{2}=100 (7)

At this point we have the circle equation in the center radius form (x-h)^{2} +(y-k)^{2}=r^{2}

Hence:

h=-3

k=4

r=\sqrt{100}=10

8 0
3 years ago
Help please also dont put links:(​
Zepler [3.9K]

Answer:  $61.50

Step-by-step explanation:

To do this you need to first find 18% of 75 which is 13.5 or $13.50 and then subtract that from the original price being $75 and you get $61.50

HOPE THIS HELPS ^^

3 0
3 years ago
Read 2 more answers
Question 2:
Delvig [45]
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Part B. [A]
3 0
3 years ago
A certain bamboo plant grows 1.2 feet in one day. At that rate, how many feet could the plant grow in 0.5 day?
Rainbow [258]

Answer:

0.6 feet in half a day

Step-by-step explanation:

If it grows 1.2 feet in 1 full day, then half of that 1.2÷2=0.6

5 0
3 years ago
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