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1 year ago

One day, a sprinter runs the 100 m dash 24 times, for a total distance of 24 00 m. how many kilometers did the sprinter run?

Mathematics

1 answer:

tigry1 [53]1 year ago

4 0

The total distance that was covered by the sprinter in Kilometers is:

2.4 Km

<h3>How much is the total distance covered?</h3>

To obtain the total distance covered by the sprinter, we need to first realize that 1 Km is equal to 1000 meters. That said, the question above requires us to change 2400 meters to kilometers.

Thus we will have:

2400 Meters * 1 km / 1000 meters

= 2.4 km

So, the total distance covered by the sprinter in kilometers is 2.4

Learn more about meter conversions here:

brainly.com/question/26259781

#SPJ4

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✨ B R A I N L I E S T

miv72 [106K]

−6x−9y+13=0

(x−3)

+(y−

)

−9−

+13=0

(x−3)

+(y−

)

Here,

=(3,

)

Equation of another circle-

−2x−16y=0

(x−1)

+(y−8)

−1−64=0

(x−1)

+(y−8)

=65

Here,

=(1,8)

Distance between the centre of two circles-

(3−1)

+(8−

)

∣r

−r

∣=

∣

−

∣

∵C

=∣r

−r

∣

Thus the two circles touches each other internally.

Since the circle touches each other internally. The point of contact P divides C

externally in the ratio r

, i.e.,

=1:2

Therefore, coordinates of P are-

⎝

⎜

⎛

1−2

1(1)−2(3)

1−2

1(8)−2(

)

⎠

⎟

⎞

=(5,1)

Therefore,

Equation of common tangent is-

−S

(5x+y−6(

x+5

)−9(

y+1

)+13)−(5x+y−2(

x+5

)−16(

y+1

))=0

−6x−9y−13

+x+8y+13=0

4x−7y−13=0

Hence the point of contact is (5,1) and the equation of common tangent is 4x−7y−13=0.

4 0

3 years ago

Read 2 more answers

Katie is selling lemonade for $1.50 per cup. She decides to put them on sale for $0.90. What percent discount did she give on he

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Answer:

40%

Step-by-step explanation:

1.50 - 0.90 = 0.60

0.60 cents are saved.

$\frac{0.60}{1.50} = 0.4$

0.4 = 40%

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2 years ago

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chubhunter [2.5K]

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Step-by-step explanation:

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2 years ago

M divided by 19 = -2 (Find m)

seropon [69]

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3 years ago

The amount of time it takes to see a doctor a CPT-Memorial is normally distributed with a mean of 33 minutes and a standard devi

Eva8 [605]

Answer:

a) Z-score = 0.75

b) Z-score = -32.833

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 33

Given a standard deviation of the Population = 12

Let 'X' be a random variable in a normal distribution

Let 'X' = 42

Step(ii):-

$Z = \frac{x-mean}{S.D}$

$Z = \frac{42-33}{12} = 0.75$

Step(iii):-

Given that mean of the Population = 89

Given a standard deviation of the Population = 1

Let 'X' be a random variable in a normal distribution

Let 'X⁻ = 82

$Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{82-89}{\frac{1}{\sqrt{22} } } = -32.833$

Z-score = -32.833

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3 years ago