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vovangra [49]
2 years ago
13

A satellite dish shaped like a paraboloid, has diameter 2.4 ft and depth 0.9 ft. If the receiver is placed at the focus, how far

should the receiver be from the vertex? Send help, we need to pass it before 12 midnight today
Mathematics
1 answer:
GREYUIT [131]2 years ago
7 0

Answer:

0.4

Step-by-step explanation:

x=\frac{d}{2} =\frac{2.4}{2}  =1.2\\

p=\frac{x^{2} }{4y}

p=\frac{(1.2)^{2} }{4(0.9)}

p=0.4

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Answer:115 apex

Step-by-step explanation:

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The volume of the sphere is StartFraction 500 Over 3 EndFractionπ cubic units. A sphere has a radius of x units. What is the val
Tpy6a [65]

Answer:

(b) Radius of the sphere = 5 units.

Step-by-step explanation:

Here, given:

The volume of the sphere  = (\frac{500}{3})\pi cubic units  ... (1)

Also, radius of the sphere  = x  units

Now, VOLUME OF SPHERE  = (\frac{4}{3}) \pi r^3

So, volume of a sphere with radius x  = (\frac{4}{3}) \pi (x)^3

But volume of sphere is given by (1).

\implies (\frac{500}{3})\pi = (\frac{4}{3}) \pi (x)^3\\\implies (\frac{500}{3}) = (\frac{4}{3}) (x)^3\\\implies x^3 = (\frac{500}{3})  \times (\frac{3}{4})  = 125\\\implies x^ 3 = 125 = (5)^3\\\implies x  = 5

Hence, radius of the sphere = 5 units.

4 0
2 years ago
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Tobias gold sells computers at the office Center he's guaranteed a minimum salary of $1,959 per month plus 6.3% commission on to
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Answer:2269.95

Step-by-step explanation:

You would take 1,959 and divide it by 6.3. The answer of that will be added to 1,959. And that's how I got the answer good luck! And I hope that this helps.


Also quick note 2269.95 is how much is made in a month! :)



6 0
2 years ago
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kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of
Phantasy [73]

Answer:

Kadeem will take 0.166 h more to complete the course.

Step-by-step explanation:

The speed is the rate at which the distance changes, when the speed goes up the distance changes more quickly, therefore if the distance is the same and the speed is higher the one who will take longer is the one that has less speed. In this case the one who will take longer to drive the 25 miles is Kadeem, since he's driving at 50 mph. In order to calculate how much longer we need to calculate the time at which each of them complete the course, this is shown below:

time = distance/speed

For Kadeem:

time = 25/50 = 0.5 h

For Quinn:

time = 25/75 = 0.334 h

The difference between the is 0.5 - 0.334 = 0.166 h.

8 0
2 years ago
Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 \text{ m}2.8 m2, point, 8, start text, space,
Karo-lina-s [1.5K]

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

<u>Given</u>:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

<u>Question asked:</u>

What is the distance Benjamin travels in 100 seconds?

<u>Solution:</u>

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

<em><u>Now, by unitary method:</u></em>

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves =  1.5 \times 100

                                                = 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8 \times 150

                                                                                             = 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

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2 years ago
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