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Elodia [21]
2 years ago
13

Scientists in the jungle want to find the best estimate for the lion population. They tagged and released 20 lions as part of a

research project. Later, they found 160 lions, 8 of which were tagged? Find the best estimate of population?
Mathematics
1 answer:
lozanna [386]2 years ago
3 0

Answer:

They will expect the ratio below:

x/20 = 160/8, with x: population

Then

x = 20x160/8 = 400

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A composition of transformations ΔKLM maps ΔK"L"M" to . Triangle K L M is rotated 270 degrees about point P to form Triangle K p
telo118 [61]

Answer:

a 270° rotation about point P

Step-by-step explanation:

Because after transformation MK and M'K 'are at 90°, that implies that MK is rotated as 90 ° clockwise around P or 270 ° counterclockwise around P.

Therefore the transformation composition that maps \triangle KLM to \triangleK"L"M",

So, for this composition, the first transformation is 270° is the 270° rotation i.e to be counterclockwise about point P.

While the transformation of the second would be down translation that goes to the right.

hence, the last option is correct

6 0
2 years ago
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If cosine theta almost-equals 0.3090, which of the following represents approximate values of sine theta and tangent theta, for
Zepler [3.9K]

Answer:

\sin \theta = 0.9511 and \tan \theta = 3.078

Step-by-step explanation:

Given that, \cos \theta = 0.309.

Now, we have to calculate the values of \sin \theta and \tan \theta.

We know the identity that, \sin^{2}\theta + \cos^{2}\theta  = 1

So, \sin \theta = \sqrt{1 + \cos^{2}\theta} = \sqrt{1 - (0.309)^{2}} = 0.9511 {Since 0 \leq  \theta \leq  90^{\circ}}

Now, \sec \theta = \frac{1}{\cos\theta} = \frac{1}{0.309} = 3.236

Then, we know the identity, \sec^{2}\theta - \tan^{2}\theta  = 1

So, \tan \theta = \sqrt{\sec^{2}\theta - 1} = \sqrt{(3.236)^{2} - 1} = 3.078 (Answer) {Since 0 \leq  \theta \leq  90^{\circ}}

6 0
2 years ago
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Which product is positive?
Virty [35]

Answer:

(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction)

Step-by-step explanation:

(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction) = (-2/5)(-8/9)(1/3)(2/7)

Let's take the fraction and eliminate the negative sign because negative multiply negative= positive

(-2/5)(-8/9)(1/3)(2/7)= 32/945

4 0
2 years ago
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Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the
AVprozaik [17]
All you have to do is divide the volume of the container (43.875) by 5 (length) and 3.9 (width) because the formula for the volume of a rectangular prism is V=lwh. So the answer/height of the storage container is 2.25 meters
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Which set of ordered pairs represents a function?
34kurt
The answer is b because no x-value can repeat. 
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