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Zepler [3.9K]
3 years ago
14

Holden and Bryson started to hike a portion of the Appalachian trail that is 12 2/5 miles long. Due to snow, they had to stop af

ter hiking 7 1/2 miles. How much of the trail did they miss hiking
Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Answer: 4 9/10

Step-by-step explanation: You need to subtract 12 2/5 and 7 1/2.

The two fractions have different denominators. Multiply to find a common denominator

2/5 x 2/2 = 4/10

1/2 x 5/5 = 5/10

Now you have 12 4/10 minus 7 5/10. But you cannot subtract 4/10 and 5/10 equally.

Subtract 12 - 1 and add 1 to 4/10.

12 - 1 = 11

10/10 (10/10 is 1) + 4/10 = 14/10

Now you have 11 14/10 minus 7 5/10. Subtract.

11 - 7 = 4

14/10 - 5/10 = 9/10

That makes 4 9/10.

Hope this is helpful :)

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Determine the equation of the circle graphed below. <br><br> ( please help me )
Brums [2.3K]

Answer:

Equation : \\(x+3)^2 + ( y -2)^2 = 36

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: <em><u>Find the centre</u></em>

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

                        Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) =  (-3, 2)

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : <u>Find radius</u>

<u></u>Radius = \frac{Diameter }{2}<u></u>

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

 Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\

                 = \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12

Therefore ,

       Radius = \frac{12}{2} = 6

Step 3 : <u>Equation of the circle</u>

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

       (x - h)^2+(y -k)^2 = r^2

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

    (x - (-3))^2 +  (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36

5 0
3 years ago
Value of x? Help lol
sashaice [31]

Answer:

128

Step-by-step explanation:

well x be 128 cause their vertical angles

4 0
3 years ago
Read 2 more answers
Each container will be made of a material that costs $0.0015 per square inch. Explain how to determine the coat of each containe
aksik [14]

Answer:

Find total surface area. Multiply material unit cost by the total surface area.

Step-by-step explanation:

To find the cost of a container, you must first find the total surface area of the container. Then since you are given the unit cost for the material, you multiply the total surface are by the unit cost ($0.0015/in.²).

3 0
2 years ago
Find the slope of the line through each pair of points.<br> (- 12, 20 ). ( 15 ,- 12)
gtnhenbr [62]

Answer:

-32/27

Step-by-step explanation:

-12 - 20       -32            -32

----------- = ----------- = ----------

15 - (-12)    15 + 12         27

6 0
3 years ago
PLS HELP!<br> What is the frequency of the sinusoidal graph?
docker41 [41]

the frequency of the sinusoidal graph is 2 in 2 π interval

Step-by-step explanation:

The frequency of the graphs refers to the number of the cycles, the graph completes in a given fixed interval.  

We already know the formula that  

         P= (1/ F)

Thus, F= (1/ P)

Where F= frequency and P= Period

Period is the horizontal length (x- axis component) of one complete cycle.

Thus, Observing the above graph

We find that the graph completes 1 cycle in π interval and 2 cycles in 2π interval

Thus, the frequency of the sinusoidal graph is 2 in 2 π interval

3 0
4 years ago
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