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amid [387]
3 years ago
12

One car alarm is set to go off every 10 seconds another car long is it to go every five seconds and a good car alarm is set to g

o off every four seconds if they all start to go off at the same time due to a loud clap of thunder how long will it take to all sound at the same time again
Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0

Answer:

20 seconds

Step-by-step explanation:

Given the following :

Alarm 1 (goes off every 10 seconds)

Alarm 2 (goes off every 5 seconds)

Alarm 3 (goes off every 4 seconds)

If they all go off now, how long will it take all to go off at the same time again.

Obtain the multiples of the time in seconds in which each alarm goes off and select the lowest multiple common to all three;

Multiples of 10 : 10, 20, 30, 40, 50,...

Multiples of 5 : 5, 10, 15, 20, 25, 30, 35, 40,...

Multiples of 4 : 4, 8, 12, 16, 20, 24, 28, 32, 36,....

Hence, the lowest multiple common to all three alarm times is 20.

Hence, all three alarms will go off at the same time again after 20 seconds

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A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?
Maurinko [17]

Answer:

\frac{7\pi}{4}.

Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = 56\pi\text{ cm}^2

Formula for area of sector is

A=\dfrac{1}{2}\theta r^2

where, r is radius and \theta is central angle in radian.

Substitute A=56\pi and r=8 in the above formula.

56\pi=\dfrac{1}{2}\theta (8)^2

56\pi=\dfrac{64}{2}\theta

56\pi=32\theta

\dfrac{56\pi}{32}=\theta

\dfrac{7\pi}{4}=\theta

Therefore, the measure of the sector in radians is \frac{7\pi}{4}.

6 0
3 years ago
Help me plz ill give extra points
siniylev [52]

Answer:

it will turn off

Step-by-step explanation:

when it is disconceted it will cause it to shut off

hope this helps ||

                         v

5 0
3 years ago
Read 2 more answers
Complete the table:<br> 6,000<br> meters<br> kilometers<br> 8,000<br> 9,000<br> 5<br> 7
Alex17521 [72]

Answer:

Remember while answering, 1 kilometer = 1,000 meters

5,000 ⇒ 5

6,000 ⇒ 6

7,000 ⇒ 7

8,000 ⇒ 8

9,000 ⇒ 9

Step-by-step explanation:

1 kilometer is 1,000 meters because "kilo" means 1,000

Knowing this we can make an equation to figure this out

When we know x, or meters, we can do y = x/1,000

When we know y, or kilometers, we can do x = 1,000y

4 0
3 years ago
Use a sum or difference identity to evaluate.<br><br> sin15∘
DIA [1.3K]
Don’t open that link it’s takes all your information
5 0
3 years ago
Consider an airplane heading due east at 150 miles/hour relative to the air. The wind is blowing at 7.1 miles/hour at 45º south
sergij07 [2.7K]

We have

<span>Va(airplane)=150  East</span>

Vw(wind)=7.1 South East

<span>
</span><span>resulting vector R</span>

airplane

Vax=150    Vay=0   it only has component x 


Wind
Vwx=7.1*cos45=5.02

Vwy=7.1*sin45=-5.02 is negative because is South direction

 |R|=(Rx^2+Ry^2) ^0.5

Rx=150+5.02=155.02

Ry=0-5.02=-5.02

<span>|R|=155.10 miles/hour South East</span>

Determine angle θ

Rx=R*cos(θ)

<span>Cos(θ)=Rx/R</span> <span>Cos(θ)=155.02/155.10=0.9995</span>

 θ =arc cos Rx/R θ =1.8119 º

 Rx represents the component in the East direction of the resultant force. Your contribution is given by both, the force of the plane and the wind. The contribution of the wind makes the airplane's speed greater

 Ry represents the component in the South direction of the resulting force Its contribution is exclusive of the wind since the airplane has no component in this direction

 |R| the force resulting from the combined action of the force of the plane and the force of the wind

 θ represents the angle that forms the resultant force with respect to the x axis or east direction

5 0
3 years ago
Read 2 more answers
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