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2 years ago

The 2 above regular hexagons are similar. (see figures) The smaller hexagon was

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

6 0

The smaller and the larger hexagons both have 6 sides

The length of each side of the larger hexagon

<h3>How to determine the length of each side of the larger hexagon</h3>

The given parameters are:

Smaller side, l = 10

Scale factor = 5 : 7

Represent the length of each side of the larger hexagon with L.

So, we have:

l : L = 5 : 7

Substitute 10 for l

10 : L = 5 : 7

Multiply the ratio by 2

10 : L = 5 *2 : 7 *2

Evaluate the product

10 : L = 10 : 14

By comparison, we have:

L = 14

Hence, the length of each side of the larger hexagon

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Perry currently has $180 dollars and is spending $6 per day nick has no money but is earning $8 each day after how many days wil

Delvig [45]

Answer:

After 12.86 days Nick and Perry will have the same amount of money

Step-by-step explanation:

Perrie's can be expressed as;

Total amount Perry will have after t days=Initial amount Perry has-Total amount Perry spends

where;

Initial amount that Perry has=$180

Total amount Perry spends=Amount he spends per day×Number of days=(6×t)=6t

Replacing in the expression;

Total amount Perry will have after t days=(180-6t)

Nick's can be expressed as;

Total amount Nick will have after t days=Initial amount Perry has+Total amount Nick earns

where;

Initial amount that Nick has=$0

Total amount Nick earns=Amount he earns per day×Number of days=(8×t)=8t

Replacing in the expression;

Total amount Nick will have after t days=(0-8t)=8t

Equating Total amount Nick will have after t days to Total amount Perry will have after t days;

180-6t=8t

180=(8t+6t)

14t=180

t=(180/14)=12.86 days

After 12.86 days Nick and Perry will have the same amount of money

7 0

4 years ago

92 divided by 11 with remainder

Jet001 [13]

Answer:

8 remainder 4

8 0

3 years ago

You buy a package of 12 pencils for $2.64 write this rate as a unit rate?

iogann1982 [59]

Unit rate means how much does it cost for 1 unit

2.64 for 12 pencils
find 1 pencil
divide both sides by 12
0.22 for 1 pencil

0.22 per pencil

3 0

3 years ago

On a number line, point A has a coordinate of −6, and point B has a coordinate of 2. Which is the coordinate of point M, the mid

klasskru [66]

To solve this, we just need to find the distance between the points A and B in the number line, and then, divide that distance by 2.
Remember that the distance formula between tow point in the number line is:
$d=|x_{2}-x_{1}|$
From our point we can infer that $x_{1}=-6$ and $x_{2}=2$ , so lets replace the values:
$d=|x_{2}-x_{1}|$
$d=|2-(-6)|$
$d=|2+6|$
$d=8$

Now, to find the coordinate of the midpoint, we just need to divide that distance by 2:
$M= \frac{8}{2}$
$M=4$

We can conclude that the coordinate of the point M, the midpoint of AB, is 4

3 0

4 years ago

Read 2 more answers

Find the angle sum of the irregular polygon using the formula S= 180(n-2).

lesya [120]

Answer:

720°

Step-by-step explanation:

The "n" in the formula refers to the number of sides. The polygon shown has 6 sides, so the sum of interior angles is ...

S = 180°(6 -2) = 720°

7 0

4 years ago