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Karo-lina-s [1.5K]
3 years ago
12

Find the distance between the two points.

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0
<h2>Answer</h2>

2\sqrt{10}

<h2>Explanation</h2>

1. Use Distance formula

Important to use distance formula in such problems, so keep this formula memorized for future use.

The formula to find distance amongst two points is

\sqrt{(x^2-x^1)^2 + (y^2 - y1)^2}

2. Plug in the numbers into the formula:

1 -(-1)^2 + 3 - (-3)^2

2^2=4

6^2 = 36

36 + 4 = 40

3. Find the square root of 40.

\sqrt{40}

Simplify further:

2\sqrt{10}

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A 3 kg toy car rests st the top of a 0.45 meter ramp. What is its gravitational potential energy?
salantis [7]
<span>gravitational potential energy : P
Gravity : g
Mass : m
height : h

P = mgh  = 3 x 9.8 x 0.45 = 13.23 Joule

Potential energy is work , from the known formula

W = Fd ( work = force x distance ) 

W = P ( in case of potential energy height change)

F is the force acting on the body in case of ideal ramp , the only force acting is the weight of the body

F = mg ( not just <m> as the force is mg (Newton) gravity effect)

d is the displacement in direction of force, as we have considered the force to be the weight not it's component in direction of the ramp , the change in displacement is the change in height so

d = h 

W = Fd = (F = mg) x (d = h) = mgh 

W = mgh = P


</span>

7 0
3 years ago
Murad ran in a track race on Tuesday he finished the race in 420 seconds how many minutes did it take to run the race?
max2010maxim [7]
The key information here is the time he took to run the race - 420 seconds

We know that there are 60 seconds in 1 minute so to find the number of minutes we divide 420 by 60 to get 7.

Murad took 7 minutes to run the race
7 0
3 years ago
Read 2 more answers
ANSWER......................<br><br> -2x+8x 4&gt;−8
slamgirl [31]

Answer:

x= 3/2 after u like simplify

Step-by-step explanation:

1 Add 44 to both sides.

8x=8+4

8x=8+4

2 Simplify  8+48+4  to  1212.

8x=12

8x=12

3 Divide both sides by 88.

x=\frac{12}{8}

x=

8

12

​

4 Simplify  \frac{12}{8}

8

12

​

  to  \frac{3}{2}

2

3

​

.

x=\frac{3}{2}

x=

2

3

​

4 0
2 years ago
Determine the perimeter of this shape.
Sindrei [870]

Answer: perimeter = 70.54 cm

Step-by-step explanation:

Perimeter of a shape is the distance around it.

Perimeter of the arc of the bigger semicircle is

π × r

= 3.14 × 7 = 21.98 cm

Perimeter of the arc of the smaller semicircle(handle) is

π × r

= 3.14 × 3 = 9.42 cm

Perimeter of the arc of the smallest semicircle(inner part of the handle) is

π × r

= 3.14 × 1 = 3.14 cm

Therefore, the perimeter of the shape would be

21.98 + 9.42 + 3.14 + 7 + 7 + 10 + 10 + 2 = 70.54 cm

5 0
3 years ago
It takes me 3 minutes to swim 2 laps. How long will it take me to swim 7 laps?
Rzqust [24]

Answer:

4.66666666667

Step-by-step explanation:

8 0
3 years ago
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