A scientist is working with 16 meters of gold wire how long is the wire in millimeters

Answer:

A: 243.2 B: 1740 C: 42.8

Step-by-step explanation:

The  perimeter of the plot of land is 180 + 20√10. THe are aof the plot of land that doesn't include the warehouse and the parking area is 85400 sq. units. The total length of fence needed is 20 + √520 units

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

For this case, the renamed image is given below.

The slope of AB is: [tex]m_{AB} = \dfrac{50-50}{39-4} = 0[/tex]

The slope of CD is: [tex]m_{CD} = \dfrac{20-20}{39-4} = 0[/tex]

That shows AB and CD are parallel. Similarly, we can show that AC and BD are parallel. Also, we can show that AB and AC are perpendicular.

Thus, ABCD is a rectangle.

|AB| = length of AB = [tex]\sqrt{(39-4)^2 + (50-50)^2} = 35 \: \rm units[/tex]

|AC| = length of AC = [tex]\sqrt{(4-4)^2 + (50-20)^2} = 30 \: \rm units[/tex]

Thus, |AB| and |CD| are of same length because ABCD is a rectangle, and so as |AC| and |BD|.

The area of ABCD = multiplication of length of its two adjacent sides= [tex]35 \times 30 = 1350 \: \rm unit^2[/tex]Area of Warehouse

Similarly, we can show that the sides EI and CD are parallel, thus making CEID a trapezoid. Also, CE is perpendicular to CD and EI, thus, its length can serve as height of the trapezoid CEID.

The length of CD = length of AB = |AB| = 35 units.

The length of EI = [tex]\sqrt{(50-4)^2 + (0-0)^2} = 46 \: \rm units[/tex]

The length of CE = [tex]\sqrt{(4-4)^2 + (20-0)^2} = 20 \: \rm units[/tex]

Thus, area of CEID = [tex]\dfrac{1}{2}(\text{Sum of parallel sides})\times \text{height}[/tex] = [tex]\dfrac{35 \times 46 \times20}{2} = 16100\: \rm unit^2[/tex] = Area of Parking Area

Similarly, IFGH is a trapezoid, and its height can be taken as the length of GF as GF is perpendicular to its parallel sides.

The length of GF = [tex]\sqrt{(0-0)^2 + (0-60)^2} = 60 \: \rm units[/tex]

The length of IF = [tex]\sqrt{(50-0)^2 + (0-0)^2} = 50 \: \rm units[/tex]

The length of GH = [tex]\sqrt{(0-70)^2 + (60-60)^2} = 70 \: \rm units[/tex]

Thus, area of IFGH = [tex]\dfrac{1}{2}(\text{Sum of parallel sides})\times \text{height}[/tex] = [tex]\dfrac{50 \times 70 \times 60}{2} = 105000\: \rm unit^2[/tex] = Area of Plot

Length of HI = [tex]\sqrt{(70-50)^2 + (60-0)^2} = 20\sqrt{10} \: \rm units[/tex]
Thus, perimeter of plot = |GF| + |IF| + |GH| + |HI| = 180 + 20√10 units

Area of the plot of land that does not include the warehouse and the parking area = 105000 - 16100 - 3500 = 85400 sq. units

The fencing is done on the legs of the trapezoid CEID which are CE and DI

Length of CE = 20 units,

Length of DI = [tex]\sqrt{(39-50)^2 + (20-0)^2} = \sqrt{521} \: \rm units[/tex]

Thus, the length of the fencing is [tex]20 + \sqrt{521}[/tex] units.

Thus, the  perimeter of the plot of land is 180 + 20√10. THe are aof the plot of land that doesn't include the warehouse and the parking area is 85400 sq. units. The total length of fence needed is 20 + √520 units

Learn more about distance between two points here:

https://brainly.com/question/16410393

Answer:

6 ways

Step-by-step explanation:

Given: 3 people to be seated in 3 rows.

This problem is simple permutation problem in which 3 people are be seated on 3 seat available seats

Therefore possible arrangement = 3×2×1 =6 ways

Answer:

28%

Step-by-step explanation:

The result is about 27.5362% so if we round it it will be 28%

Answer:  28%

Step-by-step explanation:

1.15x12=13.8

13.8-10.00=3.8

3.8/13.8=0.27536231884

To convert to percent 0.27536231884 * 100= 27.536231884 rounded 28

Answer:

83.33%

Step-by-step explanation:

300 - 50 = 250

250/300 = .8333 or 83.33%

Answer:

83.33%Step-by-step explanation:300 - 50 = 250250/300 = .8333 or 83.33%Step-by-step explanation:

Answer:

1.  5/6

2. 8 outta 10

3. 60%

4. 0.37

5. 20%

Step-by-step explanation:

hope this helps!

Answer:

1. 20%

2. 0.37

3. 60%

4. 8 out of 10

5. [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Percentages are just dividing by 100 because all percentages must equal up to 100 such, as 50% and 50% (50+50=100) or 60% and 40% (60+40=100)

So divide the percentage ( basically just the number not, the %) by 100. 20(%)÷ 100 = 0.2 (take out the % when you do it). 60 ÷ 100 = 0.6

8 out of 10 is 8 ÷ 10 (0.8) if. it was 10 out of 8. it would look like [tex]\frac{10}{8}[/tex]   which you can divide and get 1.2 because the line above the 8 means divide.

and [tex]\frac{5}{6}[/tex] is what i just explained above ↑ divide 5 and 6, which is .83 (it is .8333333333 to infinity and beyond, but I just said 3 because dont  have that line)

now that you have everything in decimals. Sort them!

0.2 (20%)

0.6(60%)

0.37

0.8 (8 out of 10)

5/6 (0.83)

(↑ not the right answer the one in the answer box is.)

Answer:

a.) 0.51

b.) 1445

Step-by-step explanation:

a.) 5.1 x 10^-1 can be written as 5.1 x 0.1 which equals 0.51.

b.) 1.7 x 10^4 x 8.5 x 10^-2 can be simplified either by condensing 10^4 and 10^-2 to equal 10^2, or substituting the expression into a calculator.

This should equal 1.7 x 8.5 x 10^2 or 1445.

Answer:

C. Are all real numbers greater than or equal to -8.

Step-by-step explanation:

Real numbers can be said to be all continuous values of quantity, which can be negative or positive values.

The range of h, h(x), in the table given are all real numbers.

The least of the range of h on the table is -8. All the other range values, namely, -7, 1, 17, and 41 are all greater than -8. None is less than -8.

Therefore, we can conclude that the range values of h "are all real numbers greater than or equal to -8".

Answer:

The first thing you ever do when simplifying an expression is distributing the coefficient. For example the expression 3(5x+6+4x) The first thing we would do is distribute the 3 into each value in the parantheses. It would make sense to add the 4x and 5x, but that goes out of order. This is just the rules when it comes to follwing distributive property in it's simplest form.

Answer:

the greatest number and the smallest number be 3 and 7 respectively

Step-by-step explanation:

Let us assume the greater number x and the smaller number be y

Now according to the question, following equation should be made

1 ÷2 (x - y) = 2

x - y = 4 ..................... (i)

And,

x + 2y = 13 ................(ii)

Now solve both the equations

-3y = -9

y = 3

Now x is

x - y = 4

x - 3 = 4

x = 7

Hence, the greatest number and the smallest number be 3 and 7 respectively

Answer:

1 day ago — Find an answer to your question What least number must be subtracted from 5650 to get a perfect square? Also find the square root of this ...

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

Answer:

uhh x=9

Step-by-step explanation:

you choose brainliest by pressing a button that looks like a crown below somones answer that will give them extra points. and i have never heard of gems in brainly.

Answer:

You have 3.5 Servings.

Step-by-step explanation:

1/4 x 4 = 4/16

14/4 = 3.5

Answer:

x=6

Step-by-step explanation:

Simplifying

x + 15 = 21

Reorder the terms:

15 + x = 21

Solving

15 + x = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + x = 21 + -15

Combine like terms: 15 + -15 = 0

0 + x = 21 + -15

x = 21 + -15

Combine like terms: 21 + -15 = 6

x = 6

Simplifying

x = 6

HOPE THIS HELPS :)

Answer:

65%

Step-by-step explanation:

39 divided by 60 = 0.65 = 65%

Answer:

See the explanation

Step-by-step explanation:

Given data

Gym A charges $60 a month plus $5 per visit

let the number of visits be x, and the total charge be y

Hence the total charge is expressed as

y=5x+60--------------1

Gym B is represented by

y = 7x + 40-----------2

Although I can not find any option, we can conclude that gym A monthly charge is $20  more expensive than gym B

Answer:

3.92522 i used a right triangle caluclator

Step-by-step explanation:

Answer:

3.9 broo

Step-by-step explanation:

Bro use the Sin law

a / Sin A = b / sin B = c / sin C

the missing angle is 180 - (90 + 63) which is 27

so you have one side measure =>

-------------------------------------------------------------------

2 / sin 27 is equal to x / sin 63         solve to proportion, sooo

4.40537853 is equal to x/0.891006524

then:  4.40537853 times 0.891006524 is x

x = 3.92522101

so last choice, 3.9

Answer:

y =-0.5x-3

Step-by-step explanation:

hope that helps please mark as brainliest if correct

thank you

Answer:

first option

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = [tex]\frac{0-3}{6-0}[/tex] = [tex]\frac{-3}{6}[/tex] = - [tex]\frac{1}{2}[/tex] = - 0.5

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - 0.5x + 3 ← equation of line

Answer:Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

5

,

1

)

Focus:  

(

5

,

9

8

)

Axis of Symmetry:  

x

=

5

Directrix:  

y

=

7

8

x

y

3

9

4

3

5

1

6

3

7

9  

Answer:

y = 7.5

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 20 when x = 8

20 = 8k ( divide both sides by 8 )

2.5 = k

(a)

y = 2.5x ← equation of variation

(b)

When x = 3 , then

y = 2.5 × 3 = 7.5

Answer:

60 different possibilities

Step-by-step explanation:

Number of bikers = 5

Positions = first, second and third

First positions = all 5 riders can take the first spot = 5 possibilities

Second spot = position 1 has been filled hence number of possibilities = ( 5 - 1) = 4

Third spot = position 1 and 2 has been filled ; number of possibilities =. (5 - 2). = 3

Number of possible arrangements :

5 * 4 * 3 = 60 different possibilities

Answer:

ugxitskydkydmyydktdlydoyzlyzittxltzljxkg

Answer:

Miguel

Step-by-step explanation:

What we know:

Miguel ate 3/4 of his sandwich.

Annie ate 5/8 of her sandwich.

First we have to make the denominators equal.

3/4×2=6/8

6 is bigger than 5 so it would be 6/8 or 3/4 and Miguel ate 3/4.

Can I please have brainliest?

Answer:

over the five years Mr. Amari will have gained 30$

Step-by-step explanation:

Given:

The linear equation is:

[tex]2x+2y=2[/tex]

To find:

The statement that best describes the graph of the given linear equation.

Solution:

The slope intercept form of a linear function is:

[tex]y=mx+b[/tex]            ...(i)

Where, m is the slope anf b is the y-intercept.

We have,

[tex]2x+2y=2[/tex]

It can be written as:

[tex]2y=2-2x[/tex]

[tex]y=\dfrac{2-2x}{2}[/tex]

[tex]y=1-x[/tex]

[tex]y=-x+1[/tex]             (ii)

On comparing (i) and (ii), we get

[tex]m=-1,b=1[/tex]

Therefore, the graph has a slope of -1 and a y-intercept of 1. Hence option D is correct.

Answer:39

Step-by-step explanation:

Yrust me bro

Answer:

45 degrees

Step-by-step explanation:

The sum of all angles is 180 degrees. Since we know one is 43, we subtract it from 180. 180 - 43 is 137.

The angle with the 88 degrees next to it is supplementary to the given angle, which means the measurement of the angle next to 88 is 180 - 88, which is 92 degrees.

143 - 92 is 45. Hope this helps

cough cough could i have brainliest lol

Answer:

Step-by-step explanation:

3/4