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Sophie [7]
2 years ago
5

What is the volume of this triangular prism? 6m 5m 10m

Mathematics
1 answer:
notsponge [240]2 years ago
6 0
Show the picture to answer this
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Suppose a ball is thrown upward to a height of h 0 meters. After each​ bounce, the ball rebounds to a fraction r of its previous
gladu [14]

Answer:

A)1st term:45

2nd term:48.75

3rd term:49.6875

4th term:49.921875

B) Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

Step-by-step explanation:

We are given;

h₀ = Initial height of the ball = 30

r = Rebound fraction = 0.25

a) The arithmetic sequence of bouncing balls is given by the following;

Sₙ=h₀+2h₀(r¹+r²+r³+r⁴.........rⁿ)

The first term of the sequence is;

S₁ = h₀ + 2h₀r¹

S₁ = 30 + (2 × 30 × 0.25)

S₁ = 45

The second term of the sequence is;

S₂ = h₀ + 2h₀(r¹+r²)

S₂ = 30 + (2 × 30 × (0.25 + 0.25²)) = 48.75

The third term of the sequence is;

S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875

S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)

S₄ = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³ + 0.25⁴)) = 49.921875

B) The general expression for the nth term of the sequence is;

Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

4 0
3 years ago
Are 27.4 ones the same as 274 tenths
nadezda [96]

Yes. You can find that out by multiplying .1 by 274. It equals 27.4.

8 0
3 years ago
A pair of grant high school hockey fans counted the number of games won by the school each year
Mrrafil [7]

Answer:

8

Step-by-step explanation:

2015: 9 games won

2014: 1 game won

rate of change = 2015 games won - 2014 games won

rate of change = 9 - 1

rate of change = 8

5 0
2 years ago
The solid shape is made from a cylinder and a hemisphere.
Yuki888 [10]

The solid shape is made from a cylinder and a hemisphere. The radius of the cylinder is equal to the radius of the hemisphere. The cylinder has a height of 10 cm. The curved surface area of the hemisphere is 32π cm2.

Minutes

Median 170

Lower quartile 100

Upper quartile 220

3 0
2 years ago
Read 2 more answers
At a sandwich shop they offer 3 kinds of bread, 5 kinds of meat, and 3 kinds of cheese. Each type of sandwich has a combination
horrorfan [7]
The amount of different combos possible would be 165 // Hope this helped, comment below for any clarifications // Brainliest ;) Thanks!! //
8 0
3 years ago
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