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3 years ago

PLEASE HELP FIND THE LENGTH OF RS.

Mathematics

2 answers:

Gwar [14]3 years ago

8 0

Answer:

Step-by-step explanation:

Distance between 2 points

$= \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} }$

☆ (x₁, y₁) is the first coordinate while (x₂, y₂) I'd the second coordinate.

Length of RS

$= \sqrt{ {[ - 1 -( - 4)] }^{2} + (9 - 1)^{2} } \\ = \sqrt{( - 1 + 4)^{2} + 8^{2} } \\ = \sqrt{ {3}^{2} + 64 } \\ = \sqrt{73} \\ = 8.54 \: (3 \: s.f.)$

Thus, RS is about 8.5 units.

Vesnalui [34]3 years ago

6 0

Answer:

I believe its A. 8.5

Step-by-step explanation:

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On a survey, 185 people out of 420 state that they like dogs. What percent is this?

34kurt

Answer:

44%

Step-by-step explanation:

185/420 = 0.4405

0.4405 * 100 = 44.05%

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3 years ago

An alloy is composed of nickel, zinc, and copper in a ratio of 7:2:9. How many kilograms of each metal are needed to make 3.6 kg

ivolga24 [154]

Answer:

Nickel= 1.8 kg

Zinc= 0.4 kg

Copper= 1.8 kg

Step-by-step explanation:

7:2:9

7=nickel

2=zinc

9=copper

7+2+9=18

18×2=36

7×2=14 2×2=4 9×2=18

Divide by 10

14÷10=1.4 4÷10=0.4 18÷10=1.8

1.8+1.4+0.4= 3.6

1.8=nickel

0.4=zinc

1.8=copper

8 0

3 years ago

The distribution of prices for home sales in a certain New Jersey county is skewed to the right with a mean of $290,000 and a st

I am Lyosha [343]

Answer:

The probability that the mean of the sample is greater than $325,000

$P( X > 3,25,000) = P( Z >2.413) = 0.008$

Step-by-step explanation:

Step(i):-

Given the mean of the Population( )= $290,000

Standard deviation of the Population = $145,000

Given the size of the sample 'n' = 100

Given 'X⁻' be a random variable in Normal distribution

Let X⁻ = 325,000

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{325000-290000}{\frac{145000}{\sqrt{100} } } = 2.413$

Step(ii):-

The probability that the mean of the sample is greater than $325,000

$P( X > 3,25,000) = P( Z >2.413)$

= 0.5 - A(2.413)

= 0.5 - 0.4920

= 0.008

Final answer:-

The probability that the mean of the sample is greater than $325,000

$P( X > 3,25,000) = P( Z >2.413) = 0.008$

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3 years ago

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victus00 [196]

Answer:

m = 7

Step-by-step explanation:

- 3(12 - m) = - 1(m - 8)

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- 36 + 3m = - m - 8

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- 36 + 4m = - 8

- 36 + 36 + 4m = - 8 + 36

4m = 28

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