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4vir4ik [10]
2 years ago
11

To track the reptile population around a lake, researchers marked 36 turtles. A few weeks later, they counted 400 turtles, of wh

ich 20 were marked. To the nearest whole number, what is the best estimate for the turtle population?
Mathematics
1 answer:
aleksandr82 [10.1K]2 years ago
7 0

Answer: 720

Step-by-step explanation:

From the question, we are informed that cthe researches counted 400 turtles, of which 20 were marked. This implies that 20/400 = 1/20 were marked.

If the researchers wanted to track the reptile population around a lake, and the researchers marked 36 turtles, the estimate of the total population will then be:

1/20 × x = 36

x/20 = 36

x = 20 × 36

x = 720

The turtle population is 720

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shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman  = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\

To find the speed, we have to differentiate both sides with respect to time 't'

\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0
9 months ago
A hair salon charges a fixed rate of $25.00 for a haircut and an additional $15 for any other services. Write a function to mode
goblinko [34]
25+15•3= 70 dollars she spent on the hair salon..... dang lotsa money
3 0
3 years ago
Read 2 more answers
DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75
Wittaler [7]
Divide 296 by 16 you get 18.5 then add the 5.75 to get 24.25
So the answer is 24.25
3 0
2 years ago
Given f(x)=x^2+4x+7 .
ivolga24 [154]
The correct answer for this question is A. 
3 0
2 years ago
Find the area of the circle to the nearest whole number, if necessary.
creativ13 [48]

Answer:

Area of a Circle = πr²

R=Diameter/2

=21mm

=π(21)²

=1385.44mm²

To the nearest whole number

= 1385mm²

The answer is in mm². It may differ if the given answer is in m². You can get this by converting your radius to meters. This is done by dividing 21mm by 1000.

Bye!!!

8 0
2 years ago
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