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mr Goodwill [35]
2 years ago
14

Yin is making a map of his town. On the map, the distance between the sporting goods store and the market is 4 inches. The actua

l distance is 5 miles. If it is 8 miles from the market to the post office, what is the map distance between the market and the post office?
Mathematics
2 answers:
zimovet [89]2 years ago
7 0
6.4 inches is the correct answer
Anestetic [448]2 years ago
6 0
Since 5 miles is equaled to 4 inches multiply the 8 miles by 4/5 to get 6 2/5
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Jeff earned his pilot's license and flew to visit his brother 200 miles away. A headwind of 20 mph slowed down the plane's speed
lora16 [44]
<h2>Plane's speed without wind i s 117.68 mph</h2>

Step-by-step explanation:

We have speed of plane without wind is x.

Distance to brothers place = 200 miles.

A headwind of 20 mph slowed down the plane's speed on the first leg of the trip

Speed to brothers place = x - 20

We have

         Distance = Speed x Time

         200=(x-20)\times t_1\\\\t_1=\frac{200}{x-20}

A tailwind of 20 mph sped up the plane on the return trip

Speed of return trip = x + 20

We have

         Distance = Speed x Time

         200=(x+20)\times t_2\\\\t_2=\frac{200}{x+20}

The entire trip took 3.5 hours.

That is

            t_1+t_2=3.5\\\\\frac{200}{x-20}+\frac{200}{x+20}=3.5\\\\200x+4000+2000x-4000=3.5(x-20)(x+20)\\\\400x=3.5x^2-1400\\\\7x^2-800x-2800=0\\\\\texttt{x = 117.68mph or x =-3.40mph}

Plane's speed without wind i s 117.68 mph

7 0
2 years ago
An expression is given: 2 open parentheses square root of k minus 1 close parenthesis plus square root of 8. If on adding negati
neonofarm [45]

Answer:

Possible value of k is √2

Step-by-step explanation:

The information given are;

The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;

2·(√k - 1) + √8 - 6·√2 = R

Therefore, simplifying gives;

2·√k - 2 + 2·√2  - 6·√2 =  2·√k - 2 - 4·√2 = R

2·√k - 2 - 4·√2 + 2= R + 2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R

(√k - 2·√2) = R/2 = R

Therefore, √2 is a factor of √k such that √k - 2·√2 = R

Which gives k = x·√2, where x = a rational number

When x = 1, k = √2.

Therefore, a possible value of k is √2

3 0
2 years ago
A church steeple is 30 feet tall with square cross sections. The square at the base has side 3 feet, the square at the top has s
JulijaS [17]

Answer:

Volume= 540 ft^3

Step-by-step explanation:

Since volume= length times Width times height, you do 3 times 6 times 30= 540 ft^cubed.

3 0
2 years ago
Lisa says that the indicated angles cannot have the same measure. Marita disagrees and says she can prove that they can have the
AlexFokin [52]
I agree with Marita, that the angles could have the same measure.  This can be proven if you set the two amounts equal and solve for x. 

9x - 25 + x = x + 50 + 2x - 12

To begin, we should combine like terms on both sides of the equation to start simplifying the equation.

10x - 25 = 3x + 38

Next, we should subtract 3x from both sides and add 25 to both sides to get the variable x alone on the left side of the equation.

7x = 63

Finally, we should divide both sides by 7, to get rid of the coefficient of x.

x = 9

If you plug in 9 for x in our first equation, you get that both of the angle measurements equal 65 degrees.  This means that Marita is correct, because if x = 9, then the angles would have the same measure.


8 0
2 years ago
What are three collinear points on line l?
Jet001 [13]

Points A, F, and G are three collinear points on line l.

\boxed{ \ The \ Answer \ is \ B \ }

<h3>Further explanation  </h3>

Let us consider the definition of collinear.  

Collinear  

Collinear points represent points that lie on a straight line. Any two points are always collinear because we can constantly connect them with a straight line. A collinear relationship can occur from three points or more, but they don’t have to be.  

Noncollinear  

Noncollinear points represent the points that do not lie in a similar straight line.  

Given that lines k, l, and m with points A, B, C, D, F, and G. The logical conclusions that can be taken correctly based on the attached picture are as follows:  

  • At line k, points A and B are collinear.  
  • At line l, points A, F, and G are collinear.  
  • At line m, points B and F are collinear.  
  • Point A is placed at line k and line l.
  • Point B is placed at line k and line m.
  • Point F is located at line l and line m.
  • Points C and D are not located on any line.

Hence, the specific answer to this key question is undoubted, i.e., points A, F, and G.  

<u>Note:</u>

All points can, also, be said to be coplanar. This is because the three lines intersect with each other and lie on a planar surface.

Coplanar  

Coplanar points represent a group of points that lie on the same plane, i.e. a planar surface that extends without end in all directions. Any two or three points are always coplanar, but four or more points might or might not be coplanar.  

<h3>Learn more  </h3>
  1. Determine which points are coplanar and noncollinear brainly.com/question/4165000
  2. Finding a set of points is not coplanar in a pyramid brainly.com/question/2269323  
  3. Determining the best description of connection lines AB and CD on given rectangular prism ABCD brainly.com/question/4910705  

Keywords: what are, three collinear points A, F, and G, noncollinear, located, similar straight line, definition, represents, relationship, coplanar

9 0
2 years ago
Read 2 more answers
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