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Phoenix [80]
3 years ago
9

In a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34

seconds and yellow light glows after every 56 seconds. Find the least time in minutes after which they all glow together.​
Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

238 minutes

Step-by-step explanation:

We are told:

In a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34 seconds and yellow light glows after every 56 seconds.

We solve this question by using LCM Method

We find the Least Common Multiple of 12, 30, 36 and 56

= 14,280 seconds.

Hence, the least time in seconds after which they glow together is 14,280 seconds.

To find the least time in minutes after which they all glow together.​

We convert from seconds to minutes

60 seconds = 1 minute

14280 seconds = x

Cross Multiply

60 × x = 14280 × 1

x = 14280/60

x = 238 minutes

The least time in minutes after which they all glow together.​

238 minutes

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Answer:

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Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown below:
Flura [38]

The sequence of transformations used to obtain figure A'B'C'D'from figure ABCD are a reflection across the y-axis followed by a horizontal translation 1 unit right

<h3>Complete question</h3>

Figure ABCD is transformed to figure A'B'C'D', as shown below: (see attachment)

Which of the following sequences of transformations is used to obtain figure A'B'C'D'from figure ABCD?

<h3>How to determine the transformation?</h3>

From the attached figure, we can see that:

ABCD and A'B'C'D' are on either sides of the y-axis.

This means that ABCD is first reflected across the y-axis.

ABCD is 2 units from the y-axis, while A'B'C'D' is 1 unit from the y-axis.

This means that the reflection is followed by a translation.

The unit of translation is:

Unit = 2 - 1

Evaluate

Unit = 1

1 represents a right translation

Hence, the sequence of transformations are a reflection across the y-axis followed by a horizontal translation 1 unit right

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brainly.com/question/4289712

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6 0
2 years ago
Can someone please help me with this math problem:)
Dennis_Churaev [7]

Answer:

x = 20

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{x}{12} = \frac{15}{9} ( cross- multiply )

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x = 20

5 0
4 years ago
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From a plane flying due east at 265m above above sea level, the angle of depression from the plane to a ship is 25 degrees. How
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8 0
3 years ago
50=5x−3−8x−7<br> what is X?
Black_prince [1.1K]

Answer:

x = -20

Step-by-step explanation:

Solve for x:

50 = 5 x - 8 x - 7 - 3

Grouping like terms, 5 x - 8 x - 7 - 3 = (5 x - 8 x) + (-3 - 7):

50 = (5 x - 8 x) + (-3 - 7)

5 x - 8 x = -3 x:

50 = -3 x + (-3 - 7)

-3 - 7 = -10:

50 = -10 - 3 x

50 = -3 x - 10 is equivalent to -3 x - 10 = 50:

-3 x - 10 = 50

Add 10 to both sides:

(10 - 10) - 3 x = 10 + 50

10 - 10 = 0:

-3 x = 50 + 10

50 + 10 = 60:

-3 x = 60

Divide both sides of -3 x = 60 by -3:

(-3 x)/(-3) = 60/(-3)

(-3)/(-3) = 1:

x = 60/(-3)

The gcd of 60 and -3 is 3, so 60/(-3) = (3×20)/(3 (-1)) = 3/3×20/(-1) = 20/(-1):

x = 20/(-1)

Multiply numerator and denominator of 20/(-1) by -1:

Answer: x = -20

4 0
3 years ago
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