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raketka [301]
3 years ago
11

A man cycling along the road noticed that every 12 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus. If

all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses
Mathematics
1 answer:
BartSMP [9]3 years ago
5 0

Answer:

Step-by-step explanation:

Let the speed of cyclist be C and bus be B.

Using the concept of relative speed:-

For incoming bus,speed = B + C

For overtaking bus,speed = B - C

Now,distance travelled b/w 2 incoming bus = (B + C)*4

Now,distance travelled b/w 2 overtaking bus = (B - C)*12

so,

(B + C)*4 = (B - C)*12

or, B=2C

Hence,distance b/w two buses in same direction,d=4*(3/2)B=6 B

Therefore, time gap=d/B=6 minutes

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Consider these three squares with known area 25, 144,169
hram777 [196]

Answer:

Step-by-step explanation:

three squares with known area 25, 144,169...

1) area of the square =25

Side ×side=25

Side^2=25

Side=√25

Side =5.

Answer is 5.

2) area of the square =144

Side ×side=144

Side^2=144

Side=√144

Side =12

Answer is 12.

3)area of the square =169

Side ×side=169

Side^2=169

Side=√169

Side =13

Answer is 13.

6 0
3 years ago
 Ill Mark Brainliest if you answer correctly. The figure below shows a shaded circular region inside a larger circle:
pogonyaev

First we have to find the areas of both circle using the formula

Area = \pi r^2

For larger circle,

Area=  \pi(5)^2 = 25 \pi

For smaller circle,

Area = \pi (4)^2 = 16 \pi

Required probability

= \frac{25 \pi -16 \pi}{25 \pi} *100 = \frac{9}{25}*100 = 36%

Correct option is the second option .

8 0
3 years ago
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
spayn [35]

Answer:X=5/6 Y=8/5

Step-by-step explanation:

-6x +5y=3

+6x

5y=6x+3 (divide each number by 5)

Y=6/5x + 3/5 (Plug that into your x equation)

12x+15 (6/5x + 3/5) =34

(Multiply 15 by the numbers in the brackets you can break it down and do 15•6 divided by 5 )

15•6=90 divided by 5=18x

15•3= 45 divided by 5=9

(Add like variables)

12x+18x=30x

30x+9=34

(Subtract 9 from itself do the same to 34)

9-9= 0

34-9=25

Divide 30 by itself to get x by itself then divide 25 by 30

25 divided by 30= 5/6

X=5/6 (plug that into the y equation)

Y=6/5•5/6+3/5

Multiply 6/5 and 5/6 straight across because this is multiplication you don't need like denominators

6/5•5/6=30/30=1

Y=1+3/5

1/1 + 3/5

Here you need to have like denominators because it is addition so just use 5

5•1=5

5/5+3/5=8/5

Y=8/5

5 0
2 years ago
Multiply and show all steps please!!
Mazyrski [523]

the answer is 80 take the positive and negative and use the sign change rule

5 0
3 years ago
Read 2 more answers
Please help me please will give brainliest to anyone <br><br><br><br><br>only do number 11​
AnnZ [28]

9514 1404 393

Answer:

  9.  ±1, ±2, ±3, ±6

  11.  ±1, ±2, ±3, ±4, ±6, ±12

Step-by-step explanation:

The possible rational roots are (plus or minus) the divisors of the constant term, divided by the divisors of the leading coefficient.

Here, the leading coefficient is 1 in each case, so the possible rational roots are plus or minus a divisor of the constant term.

__

9. The constant is -6. Divisors of 6 are 1, 2, 3, 6. The possible rational roots are ...

  ±{1, 2, 3, 6}

__

11. The constant is 12. Divisors of 12 are 1, 2, 3, 4, 6, 12. The possible rational roots are ...

  ±{1, 2, 3, 4, 6, 12}

_____

A graphing calculator is useful for seeing if any of these values actually are roots of the equation. (The 4th-degree equation will have 2 complex roots.)

8 0
3 years ago
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