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denis23 [38]
1 year ago
11

Please answer this question ASAP!

Mathematics
1 answer:
kvasek [131]1 year ago
3 0

Answer:

  8:07:12 am

Step-by-step explanation:

The lights will change simultaneously after any multiple of the least common multiple of their cycle times.

<h3>LCM</h3>

The least common multiple of a set of numbers is the product of the highest powers of their prime factors.

  48 = 2⁴×3

  72 = 2³×3²

  108 = 2²×3³

The highest power of the factor 2 is 4. The highest power of the factor 3 is 3, so the LCM of the numbers 48, 72, and 108 is ...

  LCM = 2⁴×3³ = 16×27 = 432

The lights will change simultaneously after each period of 7 minutes 12 seconds. They will change simultaneously again at 8:07:12 am.

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How do you this question? Please explain.
Nuetrik [128]

Answer:

(C) 2√15

Step-by-step explanation:

Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.

... CB/CA = CT/CB

... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values

... CB = √60 = 2√15 . . . . . . . take the square root; simplify

_____

<em>Comment on this solution</em>

The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...

... CB = √(AC·CT) . . . . as above

This is true for any right triangle — another fact of geometry to put in your list of geometry facts.

3 0
2 years ago
What is the expanded form of 232÷4
Annette [7]
(2x100) (3x10) (2x1) / (4x1)
3 0
3 years ago
Explain how connecting digits to the right of the decimal point helps you multiply decimals.
Alex787 [66]

answer:

the decimal point shifts to the right to represent each multiplication by 10

Step-by-step explanation:

an example is 1.23*10

would give you 12.3 and if you multiply it by 100 it would give you 123

5 0
3 years ago
Please help, solve for x. Due today and all I’ve gotten are links :(
Nookie1986 [14]

Answer:

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6 0
2 years ago
Sari drives 55 miles per hour. Which equation shows the proportional relationship between hours (h) and miles (m)?
Finger [1]

Answer:

m=55h

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

m ----> the distance in miles (y-coordinate)

h ----> the time in hours (x-coordinate)

In this problem the constant of proportionality k is given and is equal to

k=55\ \frac{miles}{hour} ----> the speed

substitute

m=55h

8 0
3 years ago
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