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Shkiper50 [21]
3 years ago
5

51 meters to 68 meters

Mathematics
2 answers:
Oksanka [162]3 years ago
7 0
It would take 17 meters to travel that far...
IRINA_888 [86]3 years ago
3 0
This is an equation on percent of increase. 
The equation for this type of question is
new amount (68)-old amount (51)/original amount (51)
= 17/51
=0.333333333 (change that to a percent)
= 0.333333333*100
= 33%
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In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police
Lyrx [107]

Answer:

Option 3 - 4 miles

Step-by-step explanation:

Given : In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police  station and the fire station. The distance between the library and the police station is 5 miles.

To find : How far apart are the police  station and the fire station?

Solution :

Let the distance between police station and fire station be 'x'.

The distance between the library and the police station is 3 miles less than twice the distance between the police  station and the fire station.

i.e. 2x-3

The distance between the library and the police station is 5 miles.

i.e. 2x-3=5

2x=5+3

2x=8

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Therefore, The police and fire stations is 4 miles apart.

So, Option 3 is correct.

3 0
3 years ago
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This trapezoid has been divided into two right triangles and a rectangle.
jok3333 [9.3K]

The area of the triangle on left is in²: 9

The area of the triangle on the right is in²: 9

The area of the rectangle is in²: 108

The area of the trapezoid is in²: 126

<h3>Area of Compound Shapes</h3>

This exercise requires your knowledge about the area of compound shapes. For solving this, you should:

  1. Identify the basic shapes;
  2. Calculate your individual areas;
  3. Sum each area found.

For finding the area, the steps are presented below.

  • STEP 1 - Identify the basic shapes.

       

       This trapezoid is composed of two triangles and one rectangle. Therefore, you should sum the area of these geometric figures.

  • STEP 2 - Find the area of the triangle.

        Area of the triangle - A_{triangle}=\frac{b*h}{2}. The figure shows:

        b= length of the base= 2in

        h=height=9 in

        Then,  A_{triangle}=\frac{b*h}{2}=\frac{2*9}{2} =\frac{18}{2}=9 in^2

Note that the triangles are equals, consequently, they present the same values for the area.

  • STEP 3 - Find the area of the rectangle.

       Area of the rectangle- A_{rectangle}={b*h}. The figure shows:

         b= length of the base= 12 in

         h=height= 9in

        Then,  A_{rectangle}={b*h}=12*9=108 in^2 .

  • STEP 4 - Find the area of the trapezoid.

         A_{trapezoid}=2*A_{triangle}+1*A_{rectangle}\\ \\ A_{trapezoid}=2*9+1*108\\ \\ A_{trapezoid}=18+108\\ \\ A_{trapezoid}=126in^2

Learn more about the area of compound shapes here:

brainly.com/question/15884960

3 0
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