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tigry1 [53]
3 years ago
11

Spotlight A changes color every 60 seconds spotlight B changes color every 90 seconds.Both spotlights changed.After how many sec

onds will the spotlights change color at the same time again
Mathematics
1 answer:
Dominik [7]3 years ago
6 0

Answer:

They will change color at the same time in the next 180 seconds or 3 minutes

Step-by-step explanation:

Here, we have two spotlights which change colors at intervals.

While one changes every 60 seconds, the other changes every 90 seconds. Now, we are concerned with knowing when they will both change colors at the same time or instant.

The key to solving this is straightforward. What we need to do is to find the lowest common multiple of both numbers i.e 60 and 90.

The lowest common multiple of both is 180 seconds. This means in the next three minutes, both spotlights will change color at the same time.

Let’s take this by counting;

Spotlight A; 60 , 120 , 180

Spotlight B: 90 , 180

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And slope of the linear equation y+8=3(x−5)<br> ?
Triss [41]

Answer:

slope:  3; vertex:  (5, -8)

Step-by-step explanation:

Compare the given y+8=3(x−5) to the slope-vertex form y - k = m(x - h).  We see that the slope, m, must be 3 and the vertex must be (h, k):  (5, -8).

7 0
3 years ago
AYUDAAA porfavorrrr primera urna 6 bolas verdes y 3 rojas segunda urna 3 verdes, 3 blancas y 3 rojas tercera urna 6 verdes, 1 bl
marin [14]

We have the following information:

first urn: 6 green balls and 3 red ones

total: 6 + 3 = 9

second urn: 3 green, 3 white and 3 red

total: 3 + 3 + 3 = 9

third urn: 6 green, 1 white and 2 red

total: 6 + 1 + 2 = 9

a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.

b) probability of drawing a green, red and white ball.

first urn:

green = 6/9 = 66.66%

red = 3/9 = 33.33%

white = 0/9 = 0%

second urn:

green = 3/9 = 33.33%

red = 3/9 = 33.33%

white = 3/9 = 33.33%

third urn:

green = 6/9 = 66.66%

red = 2/9 = 22.22%

white = 1/9 = 11.11%

c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%

d) without a green ball, the third ballot box would look like this:

5 green balls, 2 red balls and 1 white ball, with a total of 8.

The probability of drawing would be:

green = 5/8 = 62.5%

red = 2/8 = 25%

white = 1/8 = 12.5%

7 0
3 years ago
Use the identity a^3+b^3=(a+b)^3−3ab(a+b) to determine the sum of the cubes of two numbers if the sum of the two numbers is 4 an
olga55 [171]

Your identity says ...

... sum of cubes = (sum)³ -3(product)(sum)

... = 4³ -3·1·4

... = 64 -12 = 52

_____

The two numbers are 2±√3, and the sum of their cubes is indeed 52.

3 0
3 years ago
How many times do you need to multiply by ten to get from 19.797 to 1979.7
borishaifa [10]
You need to multiply 19.797 by 10 two times to reach 1979.7
5 0
3 years ago
Read 2 more answers
19
Taya2010 [7]

The measure of each angles  are m∠F = 46°, m∠D = 32°, m∠E = 102°.

<h3>What is angle?</h3>

An angle in plane geometry is a shape created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is where the word "angle" comes from. The common endpoint of two rays is known as the vertex, and the two rays are known as sides of an angle.

The angle that lies in the plane need not be in Euclidean space. Angles are referred to as dihedral angles if they are produced by the intersection of two planes in a space other than Euclidean. The symbol "" is used to represent an angle.

We have given that Δ DEF has

m∠D = m∠F - 14

And

m∠E = 10 + 2(m∠F)

We know that that sum of all angels in a triangle is 180°, So

m∠D + m∠E  +  m∠F = 180°

Substituting the values we get

(m∠F - 14) + (10 + 2(m∠F)) + m∠F = 180°

m∠F - 14 + 10 + 2m∠F +m∠F

4(m∠F) - 4 = 180

4(m∠F) = 180 + 4

4(m∠F)  = 184

(m∠F)  = 46°

m∠D = 46° - 14

m∠D = 32°

m∠E = 10 + 2(m∠F)

m∠E = 10 + 2( 46°)

m∠E = 10 + 92°

m∠E = 102°

Learn more about angle

brainly.com/question/25716982

#SPJ9

3 0
2 years ago
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