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koban [17]
3 years ago
11

A bouncing ball reaches a height of 27 feet at its first peak, 18 feet at its second peak, and 12 feet at its third peak. Descri

be how a sequence can be used to determine the height of the ball when it reaches its fourth peak
Mathematics
2 answers:
Mrrafil [7]3 years ago
7 0

Answer:

There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

Step-by-step explanation:

astraxan [27]3 years ago
5 0

Sample Response: There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.

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ycow [4]

Option D: The distance between the two points is 13 units

Explanation:

It is given that the two points are (-5,-2) and (8,-3)

We need to determine the distance between the two points.

It is also given that the distance between the two points can be determined using the formula,

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Substituting the points (-5,-2) and (8,-3) for the coordinates (x_1,y_1) and (x_2,y_2)

Thus, we get,

d=\sqrt{(8-(-5))^2+(-3-(-2))^2}

Simplifying, we have,

d=\sqrt{(8+5)^2+(-3+2)^2}

Adding the terms, we get,

d=\sqrt{(13)^2+(-1)^2}

Squaring the terms, we have,

d=\sqrt{169+1}

Adding the terms, we get,

d=\sqrt{170}

Simplifying and rounding off the value to the nearest tenth, we have,

d=13.0 \ units

Hence, the distance between the two points is 13 units.

Therefore, Option D is the correct answer.

6 0
3 years ago
Pls help me pls I need help
Elis [28]
Jesus is always the answer
5 0
3 years ago
4a − 3 = 9 + a..........................
OverLord2011 [107]

Answer:

4a - 3 = 9 + a \\ 4a  - a = 9 + 3 \\ 3a = 12 \\ a  = \frac{ 12}{3}  \\ a = 4

I hope this help

7 0
3 years ago
Find the area and the circumference of a circle with radius 7 cm.
natka813 [3]

<em>answers \\ area = 153.86 \:  {cm}^{2}  \\ circumference = 43.96 \: cm \\  \\ solution \\ radius = 7cm \\ area \: of \: circle = \pi {r}^{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \: 3.14 \times  {7}^{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 3.14 \times 49 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  153.86 \:  {cm}^{2}  \\ circumference \: of \: circle = 2\pi \: r \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 2 \times 3.14 \times 7 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 43.96 \: cm \\ hope \: it \: helps \\ good \: luck \: on \: you r \: assignment</em>

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3 years ago
Read 2 more answers
Will give brainlyiest answer if explained.
Deffense [45]
C. The three angles on the bottom are all exactly the same.
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3 years ago
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