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Anna35 [415]
3 years ago
11

Find ST if S(-3,10) and T(-2,3)

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
6 0

Answer:

ST = 7.07 units

Step-by-step explanation:

* Lets explain how to find the length of a segment

- The length of a segment whose endpoints are (x_{1},y_{1})

  and (x_{2},y_{2}) can be founded by the rule of the distance

  d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

* Lets solve the problem

∵ The line segment is ST

∵ S is (-3 , 10)

∵ T is (-2 , 3)

- Assume that S is (x_{1},y_{1}) and T is (x_{2},y_{2})

∴ x_{1}=-3 and x_{2}=-2

∴ y_{1}=10 and y_{2}=3

- By using the rule above

∴ ST=\sqrt{(-2--3)^{2}+(3-10)^{2}}

∴ ST=\sqrt{(1)^{2}+(-7)^{2}}

∴ ST=\sqrt{1+49}

∴ ST=\sqrt{50}

∴ ST = 7.07 units

Oksana_A [137]3 years ago
5 0

Answer:

7.07 units

Step-by-step explanation:

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Add the following rational number7/-27 and 11/18
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Answer:

19/54

Step-by-step explanation:

- 7/27 + 11/18

LCM of the 27, 18 is 54

- 7/27 * (2/2) + 11/18 * (3/3)

- 14/54 + 33/54

33 - 14/54

19/54

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2 years ago
A rectangular dog park was built with the dimensions shown. The fencing that completely surrounds the park cost $12 a yard. Each
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Answer:

sod- 1662.6

fencing- 807.6

all- 2470.2

Step-by-step explanation:

sod-

25.5 * 8.25 = 207.825

207.825*8= 1662.6

fencing-

8.25+8.25+25.5+25.5= 67.3

67.3*12= 807.6

fencing + sod

1662.6 + 807.6= 2470.2

7 0
2 years ago
Erin uses a spinner divided into four equal sections to decide which drink she’ll have with her lunch. The sections represent wa
lys-0071 [83]

Answer:

Part A

W W W M W W T W W L W W

W W M M W M T W M L W M

W W T M W T T W T L W T

W W L M W L T W L L W L

W M W M M W T M W L M W

W M M M M M T M M L M M

W M T M M T T M T L M T

W M L M M L T M L L M L

W T W M T W T T W L T W

W T M M T M T T M L T M

W T T M T T T T T L T T

W T L M T L T T L L T L

W L W M L W T L W L L W

W L M M L M T L M L L M

W L T M L T T L T L L T

W L L M L L T L L L L L

Part B

There are 64 possible outcomes. The sample size is 64.

Part C

To find the probability that Erin drinks lemonade one day, tea one day, and water one day, consider all the cases in which L, T, and W occur one time. Because the order doesn't matter in this scenario, these six outcomes from the list represent the desired event: W T L, T W L, T L W, W L T, L W T, and L T W.

The size of the sample space is 64. So, the probability that Erin drinks lemonade one day, tea one day, and water one day is 3/32.

Part D

To find the probability that Erin drinks water on two days and lemonade one day, we consider all the cases in which two Ws and one L occur. Because the order doesn't matter in this scenario, these three outcomes from the list represent the event: W W L, W L W, and L W W.

The size of the sample space is 64. So, the probability that Erin drinks water two days and lemonade one day is 3/64

Step-by-step explanation:

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3 years ago
The interquartile range of a data set is 10 units. What does this represent?
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The interquartile range is from Q1 to Q3 and to get this you have to subtract Q2 by Q3. The 10 units represent that only 10 units are fit in the given range.
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If I ride a bicycle at a rate of 5m/s,how long will it take me to ride a distance of 12km at the same rate?​
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Step-by-step explanation:

given,velocity = 5 m/s

and distance=12×1000=12000m

now,time =?

we have , v=s/t

or, t= s/v

so,t=12000/5

2400sec.....ans

=

3 0
3 years ago
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