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guajiro [1.7K]
2 years ago
8

A map of your town has a scale of 1 inch to 0.25 miles. There are two roads that are 5 inches apart on the map. What is the actu

al distance between the two roads? CLEARCHECK The actual distance between the two roads is miles.
Mathematics
2 answers:
Talja [164]2 years ago
6 0

\begin{array}{ccll} \stackrel{in}{model}&\stackrel{mi}{actual}\\ \cline{1-2} 1 & 0.25\\ 5& x \end{array} \implies \cfrac{1}{5}=\cfrac{0.25}{x}\implies x=(5)(0.25)\implies x=1.25

chubhunter [2.5K]2 years ago
3 0

Answer:

Step-by-step explanation:

I'm not oversimplifying this answer.

If 1 inch is .25 miles then all you have to do is multiply .25 miles by 5 inches and u get 1.25 miles.

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He was a Jamaican-American Civil Rights activist who was part of the "Back to Africa" movement of the early 20th century and fou
Llana [10]
Marcus Garvey was <span>a Jamaican-American Civil Rights activist who was part of the "Back to Africa" movement of the early 20th century and founded the "Black Star Steamship Company" for this purpose.
He was also pro Pan-African movement which proposed the idea that all people of African descent should unite in order to improve the state of affairs in Africa. </span>
4 0
3 years ago
A giant scoop, operated by a crane, is in the shape of a hemisphere of radius 21 inches. The scoop is used to transfer molten st
eduard

Answer:

31.5 in

Step-by-step explanation:

  • Volume of a hemisphere = (2/3)\pir³
    (where r is the radius)
  • Volume of a cylinder = \pir²h
    (where r is the radius and h is the height)
  • radius r = (1/2) diameter

First, find the volume of the scoop using the volume of a hemisphere formula with r = 21:

Volume = (2/3)\pi x 21³ = 6174\pi in³

Now equate the found volume of the scoop to the equation of the volume of a cylinder with r = 14, and solve for h:

                                            \pi14²h = 6174\pi

                                            196\pih = 6174\pi

 Divide both sides by \pi:        196h = 6174

Divide both sides by 196:          h = 31.5

Therefore, the height of the molten steel in the storage tank is 31.5 in

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2
weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

8 0
3 years ago
Transformations<br>I need help on this worksheet please.
Neporo4naja [7]

Answer:

Step-by-step explanation:

Question 2

As far as I can see, you got it right. The general transformation for 90 ccw is

(x,y) ===> (-y, x)

What that means is for the x you put in -y changing the sign to the opposite and for the y you put in x and this time you leave the sign alone . The transformation is shown in the left hand diagram.

The two tables are shown below.

Original

  • (1,4)
  • (1,2)
  • (3,2)
  • (3,5)

The transformed table is

  • (-4,1)
  • (-2,1)
  • (-2,3)
  • (-5,3)
  • (-4,1)    This is just to let the program know to close the figure For some reason this did not have lines and if I delete it and put the lines in, I won't be able to upload the new diagram.

===========

Four

This one transforms from (x,y) to (-x,-y) which means where you see an x, you put a - x and where you see a y, you put a minus y. It is the middle frame.

Original

  • (-4,3)
  • (0,3)
  • (-2,0)
  • (-4,3)  Here again, this is just to close the figure.

The transformed figure in red I think is

  • (4,-3)
  • (0,-3
  • (2,0)
  • (4,-3) And this closes the figure as well.

==========

Six

The diagram is on the right

Reflection about the y axis. Here the transformation is (x,y) ====> (-x,y) notice the ys don't change.

  • (-3,0)
  • (-5,-2)
  • (-1,-2)

There is no closure.

Reflection

  • (3,0)
  • (5,-2)
  • (1,-2)

4 0
3 years ago
How do you get 2 bases in (2 dimensional geometry) ? an example please. The problem I’m am trying to solve is
Vsevolod [243]
The answer is 0.5 I think your welcome
7 0
4 years ago
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