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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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When solving a compound inequality. Micah wrote the solution as x> or equal to 50 OR x>or equal to 75. What is a simpler w
REY [17]

Answer:

The best way of writing this answer in an inequality pattern is 50 ≤ x ≥ 70

Step-by-step explanation:

The variable "x" is said to be greater than or equal to 50, that means that x could be 50, 51, 52, 53, 54......to infinity, all these values are true for x.

The second solution said x is greater or equal to 70. This also means that x could be 70, 71, 72, 73, ......... to infinity.

The inference that can be drawn from here is that x actually started from 50, so anything lesser than 50 is lesser than x, so 50 ≤ x. We can join the two answers together to get a range in a form like: 50 ≤ x ≥ 70

4 0
3 years ago
I WILL MARK BRAINIEST<br> I got one correct there should be about one more that’s also right
Lesechka [4]

So essentially an adjacent angle is when two angles have a common side and a common vertex.

So knowing that we can determine from the picture all the adjacent angles:

D) <2 and <3 are adjacent angles

E) <1 and <3 are adjacent angles

F) <1 and <5 are adjacent angles

I hope this helps.

7 0
3 years ago
Evaluate the expression when b=-7 and y=7 b-4y
Bess [88]

b =  - 7 \: y = 7

b - 4y

( - 7) - 4(7)

- 7 - 28

=  - 35

3 0
3 years ago
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Ice cream sandwiches are wrapped in white paper before they are put in
Ket [755]
What’s the size of them?
4 0
3 years ago
Solve the triangle. B = 36°, a = 38, c = 18
Gelneren [198K]

Answer:

A ≈ 119.7°, b ≈ 25.7, C ≈ 24.3°

Step-by-step explanation:

A suitable app or calculator does this easily. (Since you're asking here, you're obviously not unwilling to use technology to help.)

_____

Given two sides and the included angle, the Law of Cosines can help you find the third side.

... b² = a² + c² - 2ac·cos(B)

... b² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475

... b ≈ 25.715

Then the Law of Sines can help you find the other angles. It can work well to find the smaller angle first (the one opposite the shortest side). That way, you can tell if the larger angle is obtuse or acute.

... sin(C)/c = sin(B)/b

... C = arcsin(c/b·sin(B)) ≈ 24.29515°

This angle and angle B add to less than 90°, so the remaining angle is obtuse. (∠A can also be found as 180° - ∠B - ∠C.)

... A = arcsin(a/b·sin(B)) ≈ 119.70485°

4 0
3 years ago
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