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Strike441 [17]
3 years ago
9

Distance between points 3,3 and 5,7?

Mathematics
1 answer:
ohaa [14]3 years ago
7 0

Answer:  d = 4√5  or 4.47

Step-by-step explanation:

To find the distance of two-point, we can use the distance formula:

d=\sqrt{(x_{2} -x_{1} )^2 +(y_{2} -y_{1} )^2}\\\\d=\sqrt{(5 -3 )^2+ (7 -3)^2}\\\\d=\sqrt{(2)^2+ (4)^2}\\\\d=\sqrt{4+16}\\\\d=\sqrt{20}\\\\d = \sqrt{4*5}\\\\\\d = 4\sqrt{5}\\\\\\or d ≈ 4.47

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A cyclist traveled 9 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 45 kilometers,
coldgirl [10]

Answer:

18 kmh

Step-by-step explanation:

Given: Speed of cyclist is 9 km/h more than skater´s speed.

           Distance covered at the given time by cyclist is 45 km and by skater is 30 km.

Let´s assume the speed of skater be "x"

∴ Speed of cyclist will be (x+9) km/h

Remember; time= \frac{Distance}{speed}

We know the time taken by both cyclist and skater are same.

∴ we can form an equation to find the speed of skater.

Time taken by cyclist= time taken by skater

⇒ \frac{45}{(x+9)} = \frac{30}{x}

Multiplying both side by (x+9)\ and\ x

⇒ 45x= 30\times (x+9)

Using distributive property of multiplication

⇒45x= 30x+270

Subtracting both side by 30x

⇒15x= 270

Dividing both side by 15

⇒x= \frac{270}{15}

∴x= 18\ kmh

Hence, speed of the skater is 18 kmh

6 0
4 years ago
Which inequality represents the interval of tenths that the square root of 14 lies between?
tresset_1 [31]

Answer:

3.7 < √14 < 3.8

Step-by-step explanation:

First approximation

9 < 14 < 16, so

3 < √14 < 4

Second approximation

14 is closer to 16 than to 9.

Is √14 between 3.7 and 3.8? If so, then

 3.7²  < 14 <   3.8²

13.69 < 14 < 14.44. TRUE

The inequality is 3.7 < √14 < 3.8.

8 0
4 years ago
When y=102 x=12 3/4<br><br> When y=64 1/2 x=?
raketka [301]
X is roughly 8.06
64.5/102 =x/12.75
102x=822.375
X =8.0625
6 0
3 years ago
if a frog can move 1/4 of a mile every hour, then how many hours would it take for a frog to go 2 miles?
ANTONII [103]

Answer: 8 hours

Step-by-step explanation: If a frog can jump 1/4 fourth a mile every hour then it will take 4 hours to complete a mile. But because we are talking a bout 2 miles, you have to double the time. Therefore, the answer is 8 hours

5 0
4 years ago
Read 2 more answers
1. Johana works in the crime lab at the New York City
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Answer:

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4 0
4 years ago
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