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AVprozaik [17]
3 years ago
8

To estimate the number of lizards in a certain region, Sean traps 36 lizards and marks them. He releases these lizards and then

later catches 200, 16 of which are marked. What is the BEST estimate for the lizard population?
A) 400
B) 425
C) 450
D) 475
Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0

Answer:

475

Step-by-step explanation:

laiz [17]3 years ago
7 0

Answer:

475

Step-by-step explanation:

i divided the two numbers and got 556 so your estimate should be 475

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In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.
Bogdan [553]

Answer:

L = 10.64°

Step-by-step explanation:

From the given information:

In triangle JKL;

line k = 9.6 cm

line l = 2.7 cm; &

angle J = 43°

we are to find angle L = ???

We can use the sine rule to determine angle L:

i.e

\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}

Using Pythagoras rule to find j

i,e

j² = k² + l²

j² = 9.6²+ 2.7²

j² = 92.16 + 7.29

j² = 99.45

j = \sqrt{99.45}

j = 9.97

∴

\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}

{9.97 \times    Sin (L ) = (2.7 \times Sin \ 43)

=  Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ =  Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 }  \\ \\  = Sin \ L = 0.18466 \\ \\  L = Sin^{-1} (0.18466) \\ \\  L = 10.64 ^0

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