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KATRIN_1 [288]
3 years ago
15

You work for a city department which is hosting a 5 kilometer run. Your coworker measured the course and doing that it is only 4

.75 kilometers long. He ask you to move the finish line forward 0.25 kilometers. Your tape measure is measured in feet and inches. What is the distance he asked you to move in line in the nearest foot?
Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer:

820 feet

Step-by-step explanation:

We can use the rule of three in this scenario since this is a ratio problem with one unknown. To do this we simply multiply the diagonal values and divide by the final value. We know that there are a total of 3280.84 ft in a single kilometer, therefore...

1 km  ==  3280.84 ft

0.25 == x

(0.25 * 3280.84) / 1 = 820.21

Now we can see that there are 820.21 ft in the 0.25 kilometers. If we round this to the nearest foot we would round down to a total of 820 feet.

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Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will he need? Dmitri w
marta [7]

The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

<h3>What is the Surface Area of a Box?</h3>

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

<h3>What is the Surface Area of a Box?</h3>

SA = 2(lw + lh + hw), where:

  • l = length
  • w = width
  • h = height of the box

The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

Learn more about Surface Area of a Box on:

brainly.com/question/26161002

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7 0
1 year ago
Round 1231.50432 to the nearest tenth
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Answer:

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Step-by-step explanation:

I hope this help.

5 0
3 years ago
y is directly proportional to the positive square root of x when x = 9, y= 12 find y when x =1/2​
ehidna [41]

Y =k√x

12 = 3k

k = 4

now X = 1\2

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y = 2√2

6 0
3 years ago
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tangare [24]

Answer:

3.5 cm

Step-by-step explanation:

2.5 is half of 5 so you divide 7 by 2 and you get 3.5

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3 years ago
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Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If
natima [27]

Answer:

  d)  one solution; (4, 1)

Step-by-step explanation:

It often works well to follow problem directions. A graph is attached, showing the one solution to be (4, 1).

_____

You know there will be one solution because the lines have different slopes. Each is in the form ...

  y = mx + b

where m is the slope and b is the y-intercept.

The first line has slope -1 and y-intercept +5; the second line has slope 1 and y-intercept -3. The slope is the number of units of "rise" for each unit of "run", so it can be convenient to graph these by starting at the y-intercept and plotting points with those rise and run from the point you know.

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