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Crank
3 years ago
6

TWENTY POINTS!!!!!!! HELP PLEASE!!!!!! A team of sixth-grade students helped estimate the rabbit population in a local park. The

students knew that park rangers had already marked 20 rabbits in the park. The students counted a total of 310 rabbits. Out of the rabbits they counted, 10 were marked. To the nearest whole number, what is the best estimate for the rabbit population?
Mathematics
1 answer:
pentagon [3]3 years ago
7 0

i think it would be 300

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Answer:

25%?

Step-by-step explanation:

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Help me please, Find a, b, and c.
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Answer:

a = 6*\sqrt{3}

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c = 6\sqrt{2}

Step-by-step explanation:

Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.

A 45-45-90 right triangle has side lengths 1-1-\sqrt{2}.

A 30-60-90 right triangle has side lengths 1 - \sqrt{3} -2.

Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.

Side a corresponds to side length \sqrt{3}. Therefore, a = 6*\sqrt{3}.

Side b corresponds to side length 2, b = 2*6 = 12.

The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to \sqrt{2}. This means \sqrt{2} was multiplied by 12 = \sqrt{2} * \sqrt{72}. This means that side c is \sqrt{72}=6\sqrt{2}.

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A solid figure with flat faces
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Choose the correct rule to describe the transition of ▵ to ▵’’’
wariber [46]

Answer:

The rule that describes the translation of ΔABC to ΔA'B'C' is

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Step-by-step explanation:

Let us revise the rule of translation of a point

  • The image of the point (x, y) after translation h units to the right and k units up is (x + h, y + k)
  • The image of the point (x, y) after translation h units to the right and k units down is (x + h, y - k)
  • The image of the point (x, y) after translation h units to the left and k units up is (x - h, y + k)
  • The image of the point (x, y) after translation h units to the left and k units down is (x - h, y - k)

Let us solve the question

∵ Point A = (-3, 0)

∵ Point A' = (1, 3)

→ Subtract the x-coordinate of A from the x-coordinate of A' to find h

∵ h = 1 - - 3 = 1 + 3 = 4

→ h is a positive value, then the translation is to the right

∴ Point A translated 4 units to the right

→ Subtract the y-coordinate of A from the y-coordinate of A' to find k

∵ k = 3 - 0 = 3

→ K is a positive value, then the translation is up

∴ Point A translated 3 units up

∴ The rule of translation is (x, y) → (x + 4, y + 3)

Let us find B' and C' using the rule of translation

∵ B = (-3, -2)

∵ The rule of translation is (x, y) → (x + 4, y + 3)

∴ B' = (-3 + 4, -2 + 3)

∴ B' = (1, 1) ⇒ same as the figure

∵ C = (-1, -2)

∵ The rule of translation is (x, y) → (x + 4, y + 3)

∴ B' = (-1 + 4, -2 + 3)

∴ B' = (3, 1) ⇒ same as the figure

The rule that describes the translation of ΔABC to ΔA'B'C' is

(x, y) → (x + 4, y + 3)

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Ilia_Sergeevich [38]

Answer:

Exact Form: 2√26

Decimal Form: 10.19803902 …

Step-by-step explanation:

8 0
3 years ago
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