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3 years ago

The definition of an angle uses the undefined term ?

1 answer:

5 0

The undefined terms in geometry used for the definition of an angle are line or ray and point. Two lines extend to meet at a common point or the two rays share the same endpoint. The common point between the two lines or the two rays of the angle is called the vertex.

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r-ruslan [8.4K]

Step-by-step explanation:

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3 years ago

Read 2 more answers

6. A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and fall

inn [45]

Answer:

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient of consecutive terms is the same. The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term and $q$ is the common ratio.

A super-bouncy-ball is thrown 25m into the air. The ball falls, rebounds to 70% of the height of the previous bounce and falls again.

This means that:

$q = 0.7, a_1 = 25*0.7 = 17.5$

Then

$a_n = a_1q^{n-1}$

$a_n = 17.5(0.7)^{n-1}$

First 5 terms:

$a_1 = 17.5$

$a_2 = 17.5(0.7)^{2-1} = 12.25$

$a_3 = 17.5(0.7)^{3-1} = 8.58$

$a_4 = 17.5(0.7)^{4-1} = 6$

$a_5 = 17.5(0.7)^{5-1} = 4.2$

Find the total distance the ball has travelled after it hits the ground the 5th time.

$T = 17.5 + 12.25 + 8.58 + 6 + 4.2 = 48.53$

The total distance the ball has travelled after it hits the ground the 5th time is of 48.53m.

8 0

3 years ago

What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.

puteri [66]

Answer:

s = 14.1 in

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

the scale on the map is 1 cm : 80 km . if two cities are 4 cm apart on the map, what is the actual distance between the cities?

jarptica [38.1K]

Hello there! Your answer would be 'the actual distance between the cities is 320 kilometers'.

Okay, so to solve this, we can use unit rates. We know that for every one centimeter we have eighty kilometers. So, whatever we multiply the centimeter value by, we can multiply the kilometer value by the same number and get our answer.

So if the centimeter value is 4, multiply the kilometer value by 4.

80 x 4 = 320

This means that the cities are 320 kilometers apart, and you have your answer!

Hope this helps, and have a great day!

8 0

3 years ago

Given f (x) = 8 (3-x) , what is the value of f (-1)

nikdorinn [45]

Answer:

8(3-(-1)) = 32

Step-by-step explanation:

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3 years ago