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Artist 52 [7]
2 years ago
12

The planetarium, which is not marked on the map, is halfway between the historic village and the science center. What are its co

ordinates?
Mathematics
1 answer:
lutik1710 [3]2 years ago
6 0
As I have seen this question before:

Coordinates of historic village: (-4 1/2 , 5 1/2)
Coordinates of science center: (-4 1/2 , -1 3/4)

To find the midpoint, we use:
((x₂ + x₁)/2) , (y₂ + y₁)/2) 
= ( (-4 1/2 + -4 1/2)/2 , (-1 3/4 + 5 1/2) / 2)
= ( -4 1/2 , 1 7/8)
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The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely cl
Ne4ueva [31]

Answer:

It would be D, 62

Step-by-step explanation:

The sample size for the group with the average height is the highest, being at 40 instead of 30, 20, or 10, and therefore has the most accurate average height.

7 0
2 years ago
Read 2 more answers
If the egress rate for a stadium is 5,500 fans per hour and it takes fans about one-third less time for fans to exit a game as i
Marina CMI [18]

Answer:

1833 fans per hour

Step-by-step explanation:

Ingress is entering and Egress is exiting.

Since exiting time is 1/3rd less than entering time, we have 5500 people exiting, so ingessing would be 1/3rd that.

Thus,

Ingress Rate = 5500/3 = 1833.33

Rounding to whole number, we have 1833 fans per hour

4 0
2 years ago
Read 2 more answers
A car tire with a radius of 16inches is turning at a rate of 120 revolutions per minute. Find the exact linear speed of the tire
anygoal [31]

Answer:

The speed of the tyre of the car is 1002.24 feet per minute .

Step-by-step explanation:

Given as :

The radius of the car wheel = r = 16 inches

Since 12 inches = 1 feet

So,  16 inches = \frac{1}{12}×16 = 1.33 feet

The number of revolution of the wheel = 120 revolution per minute

Let The speed of the wheel = s feet per minute

The circumference of wheel = 2 × \pi × radius

where  \pi  = 3.14

or, circumference =  2 × 3.14 × 1.33

Or, Circumference = 8.352 feet

Now , Speed =  circumference of wheel × number of revolution

or, Speed = 8.352 feet × 120 revolution per minute

∴ Speed = 1002.24 feet per minute

Hence The speed of the tyre of the car is 1002.24 feet per minute . Answer

4 0
2 years ago
The area of a small pond is 78.5 yds. What is the diameter of the pond?
Zolol [24]

Answer:

Diameter of pound = 10 yd

Step-by-step explanation:

Given area of circular pond = 78.5 square yd

To find the diameter of the pond.

Solution:

The pond being circular in shape, the area of pond can be given as:

⇒ \pi\ r^2

where r represents radius of the pond.

Thus, we have:

⇒ \pi\ r^2=78.5

Using \pi=3.14

⇒ 3.14r^2=78.5

Solving for r

Dividing both sides by 3.14

⇒ \frac{3.14r^2}{3.14}=\frac{78.5}{3.14}

⇒ r^2=25

Taking square root both sides.

⇒ \sqrt{r^2}=\sqrt{25}

⇒ r=\pm5

So, radius = 5 yd, as distances are always positive.

Diameter = 2\times radius=2\times 5\ yd= 10\ yd

Thus, diameter of pound = 10 yd

7 0
2 years ago
Find all polar coordinates of point P = (6, 31°).
wel

as far as I can tell, is just a matter of going around the circle many or infinite times around.

so 6,31° is the first point, the next point will be one-go-around, 6, 31+360 => 6, 391°

then the next will be 6, 391+360 => 6, 751° and so on.

so we can say is (6, 31° ±360°n), n ∈ ℤ.

6 0
2 years ago
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