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Romashka [77]
3 years ago
11

A biologist is researching the population density of antelopes near a watering hole. The biologist counts 32 antelopes within a

radius of 34 km of the watering hole. What is the population density of antelopes? Enter your answer in the box. Use 3.14 for pi and round only your final answer to the nearest whole number.
Mathematics
1 answer:
Setler [38]3 years ago
7 0

Answer:

=0.3 per km²

Step-by-step explanation:

Population density is the population per uni area.

Area=πr² Where A is area and r is the radius of the circle.

A=3.14×34

=106.76km²

Population density = Population/Area

=32 antelopes/106.76 km²

=0.3 per km²

The population of antelopes within the given radius is 0.3 per km²

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Jason states that Triangle A B C is congruent to triangle R S T. Kelley states that Triangle A B C is congruent to triangle T S
Brilliant_brown [7]

Answer:

The correct option is;

Jason's statement is correct. RST is the same orientation, shape, and size as ABC

Step-by-step explanation:

Here we have

ABC = (2, 1), (3, 3), (4, 1)

RST = (-4, -2), (-3, 0), (-2, -2)

Therefore the length of the sides are as follows

AB = \sqrt{(2-3)^2+(1-3)^2} = \sqrt{5}

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

BC = \sqrt{(3-4)^2+(3-1)^2} = \sqrt{5}

For triangle SRT we have

RS = \sqrt{(-4-(-3))^2+(-2-0)^2} = \sqrt{5}

RT = \sqrt{(-4-(-2))^2+(-2-(-2))^2} = 2

ST = \sqrt{(-3-(-2))^2+(0-(-2))^2} = \sqrt{5}

Therefore their dimensions are equal

However the side with length 2  occurs between (2, 1) and (4, 1) in triangle ABC and between (-4, -2) and (-2, -2) in triangle RST

That is Jason's statement is correct. RST is the same orientation, shape, and size as ABC.

4 0
3 years ago
Read 2 more answers
Identify the factors of the terms of the expression 5+6a+11b
KatRina [158]
5 + 6a + 11b

terms: 5; 6a; 11b

Factors of 5: 1; 5
Factors of 6a: 1; 2; 3; 6; a; 2a; 3a; 6a
Factors of 11b: 1; 11; b; 11b
4 0
3 years ago
A car travels at a speed of s miles per hour. It covers 126 miles in 3 hours.
makvit [3.9K]

Answer:

s=42

Step-by-step explanation: 126 divided by 3 = 42

42mph

8 0
2 years ago
You have $75.00 to spend at the mall. You want to buy a hoodie that costs $80.00. The store is having a 20%-off sale. (There is
lesya692 [45]
Ok so find 20% off and see if less tha 75
percent means parts out of 100
20% means 20/100=1/5

'of' means multiply

20% of 80=1/5 times 80=16

off means subtract
disctoun tof 16 is 80-16=64
64<75

how much left over
75-spent=left over
75-64=11


anwwer is $11 left over and enough money to buy
6 0
3 years ago
Read 2 more answers
How do u get this?? I know the answer but then I don't know why they shuld divide by 2 I will mark the person who explains wit p
Greeley [361]

Answer:

10.89

Step-by-step explanation:

Circle:

C = TTD

C = TT(6.6)

C = 20.73451151

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Triangle:

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A = 6.6(3.3)/2        6.6/2=3.3

A = 21.78/2

A = 10.89

Shaded Region = 10.89

5 0
3 years ago
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