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Levart [38]
3 years ago
15

A kangaroo hops 2 kilometers in 3 minutes at this rate a. how long does it take the kangaroo to travel 5 kilometers b. how far d

oes the kangaroo travel in 2 minutes
​
Mathematics
1 answer:
spin [16.1K]3 years ago
8 0

Answer:

7.5

Step-by-step explanation:

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Howard is standing 109 yards from the bottom of a water reservoir. He estimates that the angle of elevation to the top of the wa
pav-90 [236]

Answer:

70.1 yards

Step-by-step explanation:

See the attached diagram.

Let AC is the reservoir with A as the bottom and C is the top.

Now, B is the position of Howard which is 109 yards from A i.e. AB = 109 yards.

Again, the angle elevation from B to C is 50 degrees.

So, ∠ ABC = 50°  

Now, \cos 50 = \frac{AB}{BC} = \frac{109}{x}

⇒ x = 109 cos 50 = 70.1 yards.

Therefore, the distance between the top of the reservoir and Howard i.e. BC is equal to 70.1 yards. (Answer)

8 0
2 years ago
Two-thirds of a number added to itself is 20. What is the number?
vivado [14]

Answer:

12

Step-by-step explanation:

2/3 x + x = 20

2/3 x + 3/3x = 20

5/3 x = 20   ... times 3/5 both sides

x = 12

check: 2/3 x 12 + 12 = 8 + 12 = 20

8 0
3 years ago
5.08 in fraction form and simplest form with work!
TEA [102]
Are u in a middle of a test right now or something
3 0
3 years ago
Read 2 more answers
Rachel rides her bike due east at 9 miles per hour. Amos rides his bicycle due north at 12 miles per hour. If they left from the
Svetach [21]

They will be 15 miles apart after one hour if they left the same point at the same time.

<h3>How do we measure and calculate the distance in Geometry?</h3>

The distance between two points in geometry can be calculated by using the Pythagoras theorem.

Mathematically, the Pythagoras theorem can be expressed as:

\mathbf{d = \sqrt{x^2 +y^2}}

where;

  • x and y are opposite and adjacent sides respectively.

\mathbf{d = \sqrt{(9)^2 +(12)^2}}

\mathbf{d = \sqrt{81+144}}

\mathbf{d = \sqrt{225}}

d = 15 miles  

Therefore, we can conclude that they will be 15 miles apart after one hour if they left the same point at the same time.

Learn more about calculating the distance between two points here:

brainly.com/question/7243416

#SPJ1

5 0
1 year ago
Solve for me pleasee​
DerKrebs [107]

Answer:

80°=x°[by alternate exterior angle]

3 0
3 years ago
Read 2 more answers
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