Ask question

Ask question

All categories

2 years ago

8

Which is the more reasonable measurement of the distance between the tracks on a railroad: 1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Ju

stify your answer.

2 answers:

SVEN [57.7K]2 years ago

5 0

The best answer is 1.435 ·103 because while they both are really small for a rail road track that one is bigger. the final answer for that is 147.805mm.

masya89 [10]2 years ago

4 0

Answer:

id say the second on the not negivtive so yeah

Step-by-step explanation:

You might be interested in

How man different rectangular prisms can be built from 18 cubes

Sever21 [200]

You can make 4 out of 18 cubes

3 0

3 years ago

Read 2 more answers

Paraphin [41]

The area of a shape is the amount of space a shape can occupy, while the perimeter is the sum of its lengths.

<em>The perimeter is </em> $18 + 3\sqrt 5 + 3\sqrt 2$ <em>units</em>
<em>The area of the sanctuary is 27 square units</em>

We have:

$A = (5,7)\\B=(8, 7)\\C=(8, 1)\\D=( 1, 1)\\E=( 1, 4)\\F= ( 5,4)$

<u>Perimeter</u>

See attachment for the layout of the sanctuary

$BC = \sqrt{(8 - 8)^2 + (7 - 1)^2} = 6$

$EF = \sqrt{(1 - 5)^2 + (4 - 4)^2} = 4$

$FA = \sqrt{(5 - 5)^2 + (4 - 7)^2} = 3$

From the attachment, the sides are

<em>AB, BF, FC, CD, DE and EA</em>

Start by calculating the length of each side using the following distance formula:

$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_2)^2}$

So, we have:

$AB = \sqrt{(5 - 8)^2 + (7 - 7)^2} = 3$

$BF = \sqrt{(8 - 5)^2 + (7 -1)^2} = \sqrt{45} = 3\sqrt 5$

$FC = \sqrt{(8 - 5)^2 + (1 -4)^2} = \sqrt{18} = 3\sqrt 2$

$CD = \sqrt{(8 - 1)^2 + (1 - 1)^2} = 7$

$DE = \sqrt{(1 - 1)^2 + (1 - 4)^2} = 3$

$EA = \sqrt{(1 - 5)^2 + (4 -7)^2} = 5$

So, the perimeter (P) is:

$P = AB + BF + FC + CD + DE + EA$

$P = 3 + 3\sqrt 5 + 3\sqrt 2 + 7 + 3 + 5$

$P = 18 + 3\sqrt 5 + 3\sqrt 2$

<em>Hence, the perimeter is </em> $18 + 3\sqrt 5 + 3\sqrt 2$ <em>units</em>

<u />

<u>Area</u>

To calculate the area, we need to divide the sanctuary into three.

<em>Triangle ABF</em>
<em>Triangle EFA</em>
<em>Trapezium CDEF</em>

The area of ABF is:

$Area = \frac 12 \times AB \times FA$

Where:

$AB = 3$

$FA = \sqrt{(5 - 5)^2 + (4 - 7)^2} = 3$

$Area = \frac 12 \times 3 \times 3$

$Area = \frac 92$

The area of EFA is:

$Area = \frac 12 \times EF \times FA$

Where:

$FA = 3$

$EF = \sqrt{(1 - 5)^2 + (4 - 4)^2} = 4$

So:

$Area = \frac 12 \times 4 \times 3$

$Area = 6$

The area of CDEF is:

$Area = \frac 12(CD + EF) \times DE$

Where

$CD = 7$

$EF = 4$

$DE = 3$

So, we have:

$Area = \frac 12 (7 + 4) \times 3$

$Area = \frac 12 \times 11 \times 3$

$Area = \frac {33}2$

So, the area of the sanctuary is:

$Area = \frac 92 + 6 + \frac {33}2$

$Area = \frac {9 +12 + 33}2$

$Area = \frac {54}2$

$Area = 27$

<em>Hence, the area of the sanctuary is 27 square units</em>

Read more about areas and perimeters at:

brainly.com/question/11957651

8 0

3 years ago

If you could help it'd mean the world to me

juin [17]

Answer: 22

Step-by-step explanation: because if you read it carefully and do math you are sure to get it right!! :)

3 0

2 years ago

A coordinate plane with a line passing through (0, negative 4) and (2, 0). What is the equation of the graphed line written in s

Hoochie [10]

Answer:

<em>d) The equation of the line passing through the points </em>

$y = \frac{-x}{2} - 4$

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given points are ( 0, -4) and (2 ,0)

slope of the line

$m = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } = \frac{2-0}{0-4} = \frac{-2}{4}= \frac{-1}{2}$

<u><em>Step(ii):</em></u>-

The equation of the line passing through the point ( 0,-4) and having slope

$m = \frac{-1}{2}$

$y - y_{1} = m ( x - x_{1} )$

$y - (-4) = \frac{-1}{2} ( x - 0 )$

2 ( y +4) = -x

2 y + 8 = -x

2 y = - x - 8

$y = \frac{-x}{2} - \frac{8}{2}$

$y = \frac{-x}{2} - 4$

<u><em>Final answer:-</em></u>

<em>The equation of the line passing through the points </em>

$y = \frac{-x}{2} - 4$

<em></em>

<em></em>

5 0

3 years ago

Read 2 more answers

HAAALLLLPPPP plz

valkas [14]

Answer:

the second one, B

Step-by-step explanation:

This is because in both numbers the decimal was moved back one.

8 0

3 years ago

Read 2 more answers