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fredd [130]
3 years ago
12

The scale on a map shows that 5 centimeters=2 kilometers.

Mathematics
2 answers:
RoseWind [281]3 years ago
5 0
Part A. 5 cm=2k 
so 2.5cm=1k
so 12.5cm=5k
Part B
4/5ths of K
stiks02 [169]3 years ago
4 0

PART A. Answer: 12.5 cm. Explanation. For every 2 kilometers, there are 5 centimeters. 5 kilometers is 2.5 times more than 2 kilometers. So you multiply 5 centimeters by 2.5 and that is the answer.

PART B Answer: .8 km. Explanation. If you divide 5cm by 2, you get 2.5. So divide 2km by 2.5 and that is how you get .8.

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Stem of Equations<br> Substitute (2, 1) into x + 3y = 5 to get<br> =
algol [13]

Answer:

see below!!

Step-by-step explanation:

x + 3y = 5,

y = –x + 3

Substitute the point into each equation and verify that it is true

x + 3y = 5,  2 +3(1) = 5   5 = 5  true

y = -x +3    1 = -2+3     1=1  true

(2,1) is a solution

6 0
2 years ago
A line passes through (3, 7) and (6, 9). Which equation best represents the line? (4 points)
Natalka [10]

Answer: i think is A or B

Step-by-step explanation:

y=\frac{2}{3} x+5

5 0
3 years ago
Solve the system of equations: <br> X+y+z=5<br> -3x-4y+4z=15<br> 2x-y-4z=-8
atroni [7]

Answer:

  (x, y, z) = (3, -2, 4)

Step-by-step explanation:

The attachment shows a solution using a graphing calculator where the first equation is solved for z, and that expression is substituted into each of the other two equations. The solution to that system is (x, y) = (3, -2). Using these values in the expression for z, we find ...

  z = 5 -(3 +(-2)) = 4

The solution is (x, y, z) = (3, -2, 4).

__

Your graphing calculator and/or online tools can give you the reduced row echelon form of the augmented matrix representing the system:

  \left[\begin{array}{ccc|c}1&1&1&5\\-3&-4&4&15\\2&-1&-4&-8\end{array}\right]

__

If you're solving by hand, you can do the substitution described above to eliminate z from one equation. You can eliminate z from another equation by adding the last two:

  -3x -4y +4(5 -x -y) = 15   ⇒   -7x -8y = -5

  (-3x -4y +4z) +(2x -y -4z) = (15) +(-8)   ⇒   -x -5y = 7

This pair of equations can be solved for x and y in any of the usual ways. Using the second equation to substitute for x, for example, gives you ...

  -7(-5y -7) -8y = -5   ⇒   27y = -54   ⇒   y = -2

  x = -5(-2) -7 = 3

  z = 5 -(3) -(-2) = 4

_____

<em>Additional comment</em>

If all that is needed is a solution, we prefer a graphical or matrix approach. These take about the same amount of time. Both require a little additional effort to determine exact values when the solutions are not integers.

6 0
2 years ago
In the figure below, the radius of the larger circle is 6,8 and the radius of the smaller circle is 4.5. Which of the following
Anna [14]

A <em>circle</em> is a figure <u>bounded</u> by a <em>curved</em> side which is referred to as <em>circumference</em>. Thus the area of the <u>shaded</u> region is option D. 81.65.

A <em>circle</em> is a figure<u> bounded</u> by a <em>curved</em> side which is referred to as <u>circumference</u>. Some of its <u>parts</u> are radius, diameter, sector, arc, etc.

The area of a <u>circle</u> can be determined by the given <em>expression:</em>

Area = πr^{2}

where r is the <u>radius</u> of the circle and π = \frac{22}{7}

So, the area of the <u>shaded</u> region can be determined as:

Area of the <em>shaded</em> region = <em>area </em>of the <u>larger</u> circle - <em>area</em> of the <u>smaller</u> circle

Area of the<em> shaded </em>region = π(6.8)^{2} - π(4.5)^{2}

                                            = π (46.24 - 20.25)

                                            = \frac{22}{7} x 25.99

                                            = \frac{571.78}{7}

<u>Area</u> of the <em>shaded</em> region = 81.683

Thus the<u> appropriate</u> answer to the question is option D. 81.65.

For more clarifications on the area of a circle, visit: brainly.com/question/3747803

#SPJ1

   

6 0
2 years ago
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kifflom [539]
Message me and I will help you :)
3 0
2 years ago
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