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borishaifa [10]

3 years ago

10

On a hiking trip,LaShana notes that she hikes about 12 kilometers every 4 hours .If she continues at this rate,use a ratio table

to determine about how may kilometers she could hike in 6 hours

1 answer:

Evgesh-ka [11]3 years ago

4 0

12 : 4 = 3 km her <span>speed per hour
3 * 6 = 18 km </span><span>she could hike in 6 hours</span>

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(y+3):(y+5)=k:1<br><br> show that y=(5k-3)/(1-k)<br><br> hence y=(5k-2)/(1-k)

luda_lava [24]

hi,

Express the ratios in fractional form, that is

= ( cross- multiply )

y + 3 = k(y + 5) ← distribute

y + 3 = ky + 5k ( subtract ky from both sides )

y - ky + 3 = 5k ( subtract 3 from both sides )

y - ky = 5k - 3 ← factor out y from each term on the left side

y(1 - k) = 5k - 3 ← divide both sides by (1 - k)

y = 5k- 3

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1 - k

4 0

2 years ago

In how many distinct ways can the letters of the word mathematics be arranged? (first, does the order matter?)

TEA [102]

Our current list has 11!/2!11!/2! arrangements which we must divide into equivalence classes just as before, only this time the classes contain arrangements where only the two As are arranged, following this logic requires us to divide by arrangement of the 2 As giving (11!/2!)/2!=11!/(2!2)(11!/2!)/2!=11!/(2!2).

Repeating the process one last time for equivalence classes for arrangements of only T's leads us to divide the list once again by 2

4 0

2 years ago

Allison has 1/2 cup of yogurt for making fruit parfaits.Each parfait requires 1/8 a cup of yogurt.How many parfaits can she make

cupoosta [38]

Allison can make 4 fruit parfaits.

Since one parfait requires 1/8 cup of yogurt, add:
1/8 + 1/8 + 1/8 + 1/8

They all share a common denominator, so:

1/8 + 1/8 +1/8 + 1/8 = 4/8

Simplify your answer (divide numerator and denominator by the common factor of 2) :

4/8 = 1/2

1/2 represents the total amount of cups of yogurt used. Since it took adding 1/8 four times that represents 4 parfaits.

5 0

3 years ago

I need to understand this math.

melamori03 [73]

Just think of for example 6x4=24 so the Division problom would be 24 divided by 4 or 6 the answer would be 6 or 4

by

7 0

2 years ago

How to find the central angle of a regular polygon

Annette [7]

Answer:

I hope this helps

Step-by-step explanation:

Central angle of a regular polygon:

The central angle of a polygon is the angle made at the center of a polygon by any two adjacent vertices as shown in the figure below.

In the above figure, the angles a, b, c, d, e and f are the central angles of the hexagon. There are 6 central angles in a hexagon. The number of central angles in a polygon is always equal to the number of sides of the polygon.

As you can see in the figure above, all the central angles of the polygon together will always form a complete circle. Hence the central angles add up to 360° in all polygons. Since a regular polygon has all equal sides, the central angles in a regular polygon are also equal.

So to find the measure of the central angles of a regular polygon follow the steps below:

First identify the number of sides ‘n’.

Then divide 360° by n.

For example: say you need to find the central angle of a regular pentagon.

First identify the number of sides ‘n’: here n = 5

Then divide 360° by n: 360° ÷ 5 = 72°.

Conversely, you can also find the number of sides of a regular polygon, when the central angle is given, by dividing 360 by the central angle.

Note: In the case of an irregular polygon, since there is no clear center for an irregular polygon, it has no central angle.

3 0

2 years ago