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Tatiana [17]
2 years ago
11

If two kangaroos are racing a 48ft race.The big kangaroo jumps 4ft and the smaller one jumps 2ft, but the smaller one jumps twic

e for every jump the bigger kangaroo takes.Who wins?
Mathematics
1 answer:
Arisa [49]2 years ago
7 0

Answer:

They tie the race

Step-by-step explanation:

Big Kangaroo: 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 = 12 hops

Small Kangaroo: 2 2, 2 2, 2 2, 2 2, 2 2, 2 2, 2 2, 2 2, 2 2, 2 2, 2 2, 2 2 = 12 hops

Each hop is separated by a comma

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Given that sin theta = 1/4, 0
GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
6 0
3 years ago
X+3-5x+7+4y simplify
Kisachek [45]
Combine like terms ,

-4x+4y+10
5 0
3 years ago
The first terms of a geometric sequence are 0.778,-2.33,7,-21, and 63. What is the 6th term?
aliya0001 [1]

Answer:

-189

Step-by-step explanation:

If you continue the pattern by multiplying the term by -3, you will eventually get -189 as the 6th term

3 0
3 years ago
Order the numbers from least to greatest. a –8, −10, 0, 5, 1, −1, 3, −6, −9, −19, 32
krek1111 [17]
Start with -19, -10, -9,-8,-6,-1,0,1,3,5,32
6 0
3 years ago
Read 2 more answers
A triangle ABC is inscribed in a circle, such that AB is a diameter. What are the measures of angles of this triangle if measure
Katen [24]

Answer:

∠C=90°

∠A=67°

∠B=23°

Step-by-step explanation:

For angle C:

  Thales' Theorem states that an angle inscribed across a circle's diameter is always a right angle.

  Therefore, since AB is the diameter(hypotenuse) then angle C is the right angle. (90°)

For Angle A:

  The measure of arc BC= 134 degrees. We can just use a formula for an inscribed triangle. ∠A = 1/2 (mBC)

  ∠A= (1/2)134

  ∠A= 77°

For angle B:

  All triangle angles all add up to 180. We can just subtract angles A and C from 180°:

  ∠B = 180-(90+67)

  ∠B = 23°

8 0
3 years ago
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