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3 years ago

A red light blinks every 12 seconds and a blue light blinks every 9 seconds. When will both lights blink at the same time?

Mathematics

1 answer:

mote1985 [20]3 years ago

3 0

Answer:

Step-by-step explanation:

We need to find the LCM of the two numbers because we need to know the lowest number that 12 and 9 are both in.

12 × 1 = 12

12 × 2 = 24

12 × 3 = 36

12 × 4 = 48

9 × 1 = 9

9 × 2 = 18

9 × 3 = 27

9 × 4 = 36

We can see that 36 is the lowest number that occurs both in 12 and 9 so the blue and red light will both link at 36 seconds

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What is the answer 1. 2. 3. 4.

joja [24]

Answer:

Domain of the function f(x) = cos x : ( - infinity , + infinity)

Step-by-step explanation:

Let the given function f(x) = cos x

We need to find the domain set of the given function f(x) = cos x

Domain is the set of all possible value of x for which the function f(x) is defined.

Now, as the given function f(x) is defined for all the real values of x.

Domain of the function f(x) = cos x : ( - infinity , + infinity)

Hence, Domain : ( -∞ , +∞ )

Also, the graph of the given function f(x) = cos x is attached below :

Now, form the graph also we can see the graph of given function f(x) = cos x can attain all the real values starting from -infinity to +infinity

3 0

3 years ago

3 - 2(b - 2) = 2 - 7b b = Please show work

Firdavs [7]

3- 2b +4 = 2-7b
3+4 = 2 - 5b
7 = 2 -5b
5 = -5b
-5b /-5 = -1
b = -1

5 0

3 years ago

Find the values of x and y using trig

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

The triangle is a right angle triangle. This is because one of its angles is 90 degrees.

Let us determine x

Taking 47 degrees as the reference angle,

x = adjacent side

11 = hypotenuse

Applying trigonometric ratio,

Cos # = adjacent side / hypotenuse

# = 47 degrees

Cos 47 = x/11

x = 11cos47

x = 11 × 0.6820

x = 7.502

Let us determine y

Taking 47 degrees as the reference angle,

y = opposite side

11 = hypotenuse

Applying trigonometric ratio,

Sin # = opposite side / hypotenuse

# = 47 degrees

Sin 47 = y/11

x = 11Sin47

x = 11 × 0.7314

x = 8.0454

7 0

3 years ago

Find all solutions of the equation in the interval [0, 2π). cotθ+ √3= 0

Ilia_Sergeevich [38]

Answer:

{5π/6, 11π/6}

Step-by-step explanation:

Since you have memorized the trig values of common angles, you know tan(π/6) = 1/√3, so cot(π/6) = √3.

The solution to this equation is ...

cot(θ) = -√3

so θ = -π/6 or, in the domain of interest, 11π/6. There is a corresponding quadrant II angle, 5π/6.

5 0

3 years ago

There are two twins. One twin wants to explore the planet near Proxima Centauri and leaves on a spaceship traveling at 90% of th

miskamm [114]

Answer:

4.7 years

Step-by-step explanation:

Distance of planet from Earth = 1.3 parsec

We know that 1 parsec = 3.26 light years

And a light year is the distance traveled by light in time period of 1 year.

So, Distance of planet from Earth = 1.3 $\times$ 3.26 = 4.24 light years

Given that, the person travels at a speed equal to 90% of the light speed.

To travel to the planet from Earth, Light takes 4.24 years.

To travel the distance $D$ , at a speed $s$ light takes time of 4.24 years.

To travel the distance $D$ , at a speed $0.90s$ , the person takes time:

$\dfrac{4.24}{0.90} = \bold{4.7\ years}$

So, the twin on Earth ages by 4.7 years.

7 0

3 years ago