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leonid [27]
3 years ago
10

How long does it take an automobile traveling in the left lane of a highway at 55.0 km/h to overtake (become even with) another

car that is traveling in the right lane at 20.0 km/h when the cars' front bumpers are initially 115 m apart?
Mathematics
2 answers:
dolphi86 [110]3 years ago
6 0

Answer:

t = 11.83 s

It will take 11.83 seconds

Step-by-step explanation:

The distance covered can be derived using the equation of motion with no acceleration.

distance d = speed v × time t

d = vt

For the first automobile,

v = 55km/h

d1 = 55t ....1

For the second automobile,

v = 20km/h

Initial distance d0 = 115m = 0.115km

d = vt + d0

d2 = 20t + 0.115 ......2

For them to meet/overtake each other,

Their distance at that time must be equal.

d1 = d2

55t = 20t + 0.115

55t-20t = 0.115

35t = 0.115

t = 0.115/35 hr

Converting to seconds

t = 0.115/35 × 3600s

t = 11.83 s

notsponge [240]3 years ago
4 0

Answer:

It takes 11.83 s.

Step-by-step explanation:

If two objects move in the same direction at different speeds their relative speed = Fastest speed – slowest speed.

The time after which the two objects meet is given by

t=\frac{distance}{relative \:speed}

We know that an car traveling in the left lane of a highway has a speed of  55.0 km/h and the other car has a speed of 20.0 km/h.

The initial distance between them was 115 m, which is equivalent to 115 \:m\cdot (\frac{1\:km}{1000\:m} )=0.115\:km .

The relative speed is

55.0\:\frac{km}{h} -20.0\:\frac{km}{h}=35\:\frac{km}{h}

and the time when the two cars meet is

\frac{0.115 \:km}{35\:\frac{km}{h} } \approx0.003286 \:h or 0.003286 \:h\cdot (\frac{3600}{1\:h} )=11.83 \:s

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Answer:

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3 years ago
Which points are on the graph of the equation - 3x + 6y + 5 = -7?
ludmilkaskok [199]

Answer:

C and E

Step-by-step explanation:

To solve this problem, let's plug in each coordinates into the equation.

A:

  • -3(-3) + 6(6) + 5 = -7
  • 9 + 36 + 5 = -7
  • 50 = -7
  • 50 \neq -7
  • A. cannot be the answer, as 50 does not equal -7.

B:

  • -3(-2) + 6(0)+5=-7
  • 6+0+5=-7
  • 11=-7
  • 11\neq -7
  • B. cannot be the answer, as 11 does not equal -7.

C:

  • -3(0) + 6(-2) + 5 = -7
  • 0 - 12 + 5 = -7
  • -12 + 5 = -7
  • -7 = -7
  • C. can be the answer, as -7 does equal -7.

D:

  • -3(6)+6(-3)+5=-7
  • -18-18+5=-7
  • -36+5=-7
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  • D. cannot be the answer, as -31 does not equal -7.

E:

  • -3(8) + 6(2) + 5 = -7
  • -24 + 12 + 5 = -7
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2 years ago
The graph of a system of equations shows the solution to be at (-6, 2). Which two of the following equations could
blondinia [14]

Answer:

Step-by-step explanation:

The graph shows the solution (-6,2)

i.e at x= -6 y=2

Analysis of each of the answers, since we can't write the equation of a straight line with only that information i.e the single point

Then,

Option 1

1. 2x - 3y = -6

x= -6 y=2

Then let insert x=-6 and y =2

2(-6)-3(2)

-12-6

-18.

Since -18 ≠ -6, then this is not the equation of the line and doesn't make up the system

Option 2

2. 4x - y = 26

Inserting x=-6 and y=2

4(-6)-(2)

-24-2

-26

Since -26 ≠ 26, then this is not the equation of the line and doesn't make up the system

Option 3

3. 3x + 2y = -14

Inserting x=-6 and y=2

3(-6)+2(2)

-18+4

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Since -14 ≠ -14 then this is the equation of the line and it make up the system.

Option 4

x-y = -2

Inserting x=-6 and y=2

(-6)-(2)

-6-2

-8

Since -8≠ -2, then this is not the equation of the line and doesn't make up the system

Option 5

5. x+y=-4

Inserting x=-6 and y=2

(-6)+(2)

-6+2

-4

Since -4 ≠ -4, then this is the equation of the line and it makes up the system.

Then, there are two option that make up the system

3. 3x + 2y = -14

And

5. x+y=-4

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The scale in the drawing is 2 cm : 5 m. Select from the drop down the correct numbers into the boxes to give the length, width,
Gelneren [198K]

The length, width, and area will be 25m, 15m, and 375m².

<h3>How to calculate the area?</h3>

From the information given, the scale in the drawing is 2cm : 5m and the length and width are given as 10cm and 6cm respectively.

Length = 10cm = 10 × 2.5 = 25m

Width = 6cm = 6 × 2.5m = 15m

Area = Length × Width

Area = 25 × 15

Area = 375m²

Therefore, the area is 375m².

Learn more about area on:

brainly.com/question/25292087

#SPJ1

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