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sergejj [24]
3 years ago
6

What is the maximum number of pages the report can have so that it can be completely stored on a USB drive that holds 4 \cdot 10

^6 \text{ KB}4⋅10 6 KB4, dot, 10, start superscript, 6, end superscript, start text, space, K, B, end text?
Mathematics
1 answer:
lana [24]3 years ago
4 0

Answer:

<em>2,300,000pages  report.</em>

Step-by-step explanation:

Given a USB drive with memory of 4.6*10⁶KB, in order to know the maximum number of pages a report can have so that it can be completely stored on the drive, the conversion factor must be used.

We must first understand that 1 page of a document uses up approximately 2kB of the storage.

Since 2kB = 1page

4.6*10⁶KB = x page

Cross multiply

2kB * x = 4.6*10⁶KB * 1

2x =  4.6*10⁶

x =  4.6*10⁶/2

x =  2.3*10⁶

x = 2,300,000

<em>Hence the maximum number of pages that the report can have so that it can be completely stored on a USB drive that holds 4.6*10⁶KB is approximately 2,300,000pages  report.</em>

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HELPPP<br> If YV = 28 in, find the length of VYX.
stealth61 [152]

Answer:

B) 68.91 inches

Step-by-step explanation:

To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.

We are also given that the diameter is 28 inches.

Since arc length and area are proportional to the central angle, we can create the following equality:

angle of VYX/360 = arc length of VYX/circumference

We know that the central angle of VYX = central angle of minor UV + UYX = 117 + (180-15) = 282 degrees.

282/360 * 28*pi = arc length of VYX

Thus, the length of VYX = 68.90559887 inches

Thus, the correct answer is B, 68.91 in.

3 0
3 years ago
You have one cubic mile of water. you release it at 1000 gallons per
Tatiana [17]

It will take 764664.6875 days to empty the water

<h3>How to determine the time to empty?</h3>

The given parameters are:

  • Volume = 1 cubic mile
  • Rate = 1000 gallons per minutes

The time is calculated as:

Time = Volume/Rate

So, we have:

Time = 1 cubic mile ÷ 1000 gallons per minute

Convert gallons to cubic mile

Time = 1 cubic mile ÷ (9.0817e-13 * 1000) cubic mile per minute

Divide

Time = 1.10111715 × 10^9 minute

Convert to days

Time = 764664.6875 days

Hence, it will take 764664.6875 days to empty the water

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7 0
2 years ago
How many sides would there be in a convex polygon if the sum of all but one of its interior angles is $1070^{\circ}$
Gwar [14]

Convex Polygon:

A polygon is called a convex polygon when no line segments between the points, goes inside. The boundaries of the convex polygon do not go inside and all the vertices are pointed outside away from the center. The interior angles of a convex polygon are less than 180°.

Lets simplify the given problem,

If we try using 1070 degrees as the sum of the interior angles of a convex polygon, we get:

1070 =[n - 2] x 180, where n = number of sides

1070 =180n - 360180n =1070+360180n =1430n = 1430 / 180

n = 7.94 number of sides. Since this is not a whole number, will simply round it up to 8.

Hence the number of sides is 8

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5 0
2 years ago
Read 2 more answers
Explain to me in words how you would find the slope of this line and explain how you got your answer
Delvig [45]

Answer:

y=mx+b

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP<br><br> FIND THE LENGTH OF RS.
Gwar [14]

Answer:

A

Step-by-step explanation:

Distance between 2 points

=  \sqrt{(x1 - x2)^{2}  + (y1 - y2)^{2} }

☆ (x₁, y₁) is the first coordinate while (x₂, y₂) I'd the second coordinate.

Length of RS

=  \sqrt{ {[ - 1 -( - 4)] }^{2}  + (9 - 1)^{2} }  \\  =  \sqrt{( - 1 + 4)^{2}  + 8^{2} }  \\  =  \sqrt{ {3}^{2}  + 64 }  \\  =  \sqrt{73}  \\ = 8.54 \: (3 \: s.f.)

Thus, RS is about 8.5 units.

8 0
3 years ago
Read 2 more answers
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