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Levart [38]
3 years ago
13

The perimeter of this Hexagon is 162 cm. Each longer side measures 1 cm more than twice a shorter side. Find the length of the l

abled x.

Mathematics
1 answer:
Elis [28]3 years ago
5 0
Let x represent the shorter sides, then 2x + 1 would represent the longer sides. There are four short sides and two long sides. The perimeter is 162 cm. The equation: 4x + 2(2x + 1) = 162 4x + 8x + 2 = 162 8x + 2 = 162 Subtract 2 from both sides. 8x = 160 Divide both sides by 8. x = 20 The shorter sides are 20 cm in length. The longer sides are 2x + 1, or 41 cm in length. Check: 4 * 20 + 2 * 41 = 162 80 + 82 = 162 162 = 162, values check. 
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Five bells begin to ring together and they ring at intervals of 3, 6, 10, 12 and 15 seconds, respectively. How many times will t
Evgen [1.6K]

Answer:

60 times will they ring together at the same second in one hour excluding the one at the end.

Step-by-step explanation:

Given : Five bells begin to ring together and they ring at intervals of 3, 6, 10, 12 and 15 seconds, respectively.

To find : How many times will they ring together at the same second in one hour excluding the one at the end?

Solution :

First we find the LCM of 3, 6, 10, 12 and 15.

2 | 3  6  10  12  15

2 | 3  3   5   6  15

3 | 3  3   5   3  15

5 | 1    1  5   1    5

  | 1    1   1   1     1

LCM(3, 6, 10, 12,15)=2\times 2\times 3\times 5

LCM(3, 6, 10, 12,15)=60

So, the bells will ring together after every 60 seconds i.e. 1 minutes.

i.e. in 1 minute they rand together 1 time.

We know, 1 hour = 60 minutes

So, in 60 minute they rang together 60 times.

Therefore, 60 times will they ring together at the same second in one hour excluding the one at the end.

6 0
3 years ago
What is the exact value of cos 45° as found on the unit circle?
Ber [7]
The exact value of cos 45 as per the special triangle would be

Cos 45 = 1/✔️2

Rationalizing the denominator gives

✔️2/2 = 0.707.
4 0
3 years ago
Mitchell use one fourth of a carton of 12 eggs to make an omelette how many eggs did she use
Leto [7]
3 Eggs: 4 times what equals 12? (We use 4 because its 1/4 or a quarter) 3 times 4 equals 12.
6 0
3 years ago
Read 2 more answers
12) The length of one side of a triangle is 24 cm and the length of its hypotenuse is 40 cm. find the length of its third side.​
ivanzaharov [21]

Answer:

32

Step-by-step explanation:

given the triangle is right triangle

c^2 = a^2 + b^2

40^2 = 24^2 + b^2

1600 = 576 + b^2

b^2 = 1024

b = 32

6 0
2 years ago
Solve for x using the Quadratic Formula: x2 + 4x + 4 = 0<br> -b + Vb2 - 4ac<br> x=<br> 2a
Irina18 [472]

Answer:

x = -2.

Step-by-step explanation:

In this case, a is 1, b is 4 and c is 4.

-4 plus or minus the square root of 4^2 - 4 * 1 * 4 divided by 2 * 1 = -4 plus or minus the square root of 16 - 16 / 2 = -4 plus or minus the square root of 0 / 2 = -4 / 2 = -2.

x = -2.

Hope this helps!

8 0
2 years ago
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