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kkurt [141]
2 years ago
10

Point R is located at (1, 2) on a coordinate grid. Point S is located at (4, 5) on the same

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
6 0

Answer:

4.2 units

most likely answer choice B

Step-by-step explanation:

(1, 2) and (4, 5)

To find the distance between two points, we use the distance formula:

d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }

Let's plug in what we know.

d = \sqrt{(4 - 1)^2 + (5 - 2)^2 }

Evaluate the parentheses.

d = \sqrt{(3)^2 + (3)^2 }

Evaluate the exponents.

d = \sqrt{(9) + (9) }

Add.

d=\sqrt{18}

Evaluate the radical.

d = 4.24

Round to the nearest tenth.

d = 4.2 units

*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.

Hope this helps!

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The mean ages with standard deviations of four swim teams at a swim club are given below.
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Answer:

Statement 2 (The ages of the Stars are the most dispersed from the team’s mean).

Step-by-step explanation:

Standard deviation is one way to measure the average of the data by determining the spread of the data. It actually explains how much the observation points are further away from the mean of the data. Higher the standard deviation, higher the spread of the data and higher is the uncertainty. This means that the team with the highest standard deviation will have the most dispersion. In this case, the standard deviation of 4.1 is the largest number, therefore, the statement "The ages of the Stars are the most dispersed from the team’s mean." is true i.e. the option 2!!!

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Vadim26 [7]

Answer:

0.37 feet.

Step-by-step explanation:

The following data were obtained from the question:

Volume (V) = 4100 ft³

Height (h) = 1.8 miles

Radius (r) =?

Next, we shall convert 1.8 miles to foot.

This can be obtained as follow:

Recall:

1 mile = 5280 ft

Therefore,

1.8 miles = 1.8 × 5280 = 9504 ft

Finally, we determine the radius as follow:

Volume (V) = 4100 ft³

Height (h) = 9504 ft

Pi (π) = 3.14

Radius (r) =?

V = πr²h

4100 = 3.14 × r² × 9504

4100 = r² × 29842.56

Divide both side by 29842.56

r² = 4100/29842.56

Take the square root of both side

r = √(4100/29842.56)

r = 0.37 ft

Therefore, the radius of the hole is 0.37 feet.

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Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

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