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Pani-rosa [81]
2 years ago
10

The arctic tern flies from the Arctic to the Antarctic and back every year, a total distance of 22,000 miles! In late summer, th

e terns start their migration south, and it takes about 3 months to go the 11,000 miles. What is the average velocity, in miles per day, that these birds travel?
Mathematics
1 answer:
satela [25.4K]2 years ago
6 0

Answer:

<em>The birds travel at an average velocity of 122.2 miles per day</em>

Step-by-step explanation:

The arctic terns fly a total distance of 22,000 miles in their yearly migration from the Arctic to the Antarctic and back again.

The average speed is the ratio between the total distance traveled by the time they took to travel.

Assume we take an average month of 30 days, then the time the arctic terns take to travel the 11,000 miles back is 30*3= 90 days.

The average velocity is

\displaystyle v=\frac{11,000}{90}=122.2

v=122.2 miles/day

The birds travel at an average velocity of 122.2 miles per day

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What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.
slega [8]

Answer:

The approximate length of arc s is 14.1 inches

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

Find the circumference of the circle

The formula to calculate the circumference is equal to

C=2\pi r

we have

r=6\ in\\\pi=3.14

substitute

C=2(3.14)(6)\\C=37.68\ in

step 2

Find the approximate length of arc s

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find the arc length s for a central angle of 135 degrees

\frac{37.68}{360}=\frac{x}{135}\\\\x=37.68(135)/360\\\\x= 14.1\ in

4 0
2 years ago
Read 2 more answers
Circle O has a center at (-2, -2) and a diameter of 10 units. What point lies on circle O?
Sophie [7]

The point r(-6,-5)  lies on  the circle.

Explanation

Given that the center of the circle=(-2,-2)

diameter=10 units

we have to determine which point among the given points lies on the circle.

radius=diameter/2=10/2=5 units

let (x,y) be a point on the circle

The distance between the center and (x,y) is equal to the radius of the circle

The distance between them=\sqrt{(x-(-2))^2+y-(-2))^2}=5\\\\ \sqrt{(x+2)^2+(y+2)^2} =5\\\\

squaring both sides (x+2)^2+(y+2)^2=25\\

The option (-6,-5) satisfies the equation

therefore the point that lies on the circle is (-6,-5)

8 0
2 years ago
If the shape of our data set is multimodal, we expect:
scoray [572]

Answer: (D) none of the these.

Step-by-step explanation:

  • A multimodal distribution refers to a distribution with two or more modes.

If the shape of our data set is multimodal, the it will show two or more peaks which represents the number modes in the data.

Since it has no relation with mean or median of the data, there for the correct option will be "none of these".

3 0
2 years ago
A department store sells logo shirts at an original price of $20. Every month that a shirt doesn’t sell, the store reduces the s
Tasya [4]
Given:
Original price = 20
reduces selling price by 25% every month it's not sold.

First markdown month:
20 * (100%-25%) = 20 * 75% = 15

Second markdown month
15 * 75% = 11.25

Macy, employee gets a 50% discount off the current price.
11.25 * 50% = 5.625
11.25 - 5.625 = 5.625 or 5.63

The pre-tax price of the shirt for Macy will be $5.63
3 0
2 years ago
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You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of eac
EastWind [94]
So the ratio is 1 to 2 to 5
so basically 1 unit of soda water to 2 units of fruit punch to 5 units of ginger ale

total is 1+2+5=8 units

so 4 gallons=8 units
divide by 8
1/2 gallon=1 unit

soda water=1 unit=1/2 gallon
fruit punch=2 unit=1/2 times 2=1 gallon
ginger ale=5 unit=5 times 1/2=5/2=2 and 1/2 gallon

soda water=1/2 gallon
fruit punch concentrate=1 gallon
ginger ale=5/2 gallon or 2 and 1/2 gallon
8 0
2 years ago
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