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shepuryov [24]
3 years ago
5

Fire works are fired vertically upwards from a platform 10 feet above the ground and with an initial velocity of 96 feet per sec

ond what is the highest possible point for the fireworks to explode
Mathematics
1 answer:
Oxana [17]3 years ago
4 0

Answer:

Here is the answer

Step-by-step explanation:

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I’m not sure what to do. Help please
Mars2501 [29]

Answer:

put the answers in order and then the middle number is the mean

Step-by-step explanation:

5 0
2 years ago
This cylinder has a volume of 121 cubic inches and a diameter of 4 inches.
iogann1982 [59]
12(pi)
diameter is 4, so radius should be 2
closest height to equal 12(pi) would be 0.96
7 0
3 years ago
Evaluate:<br> 20<br> Σ 4(8/9)^n-1 = [?]<br> 1<br> Round to the nearest hundredth.
lianna [129]

Answer:

32.59 (nearest hundredth)

Step-by-step explanation:

<u />

<u>Geometric sequence</u>

General form of a geometric sequence: a_n=ar^{n-1}

(where a is the first term and r is the common ratio)

Given:

\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}

Therefore:

  • a = 4
  • r = 8/9

<u>Sum of the first n terms of a geometric series</u>:

S_n=\dfrac{a(1-r^n)}{1-r}

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}

\implies S_{20}=32.58609013...

\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)                    

7 0
2 years ago
Read 2 more answers
A composite solid consists of a cube with edges of length 6cm and a square pyramid with base edges of length 6cm and height of 6
icang [17]

Answer: The volume of the solid is 324 cm³

Step-by-step explanation:

Formula for determining the volume if a cube is s³

Where s represents the length of each side of the cube.

From the information given, s = 6 cm

Volume = 6³ = 216 cm³

The formula for determining the volume of the square base pyramid is expressed as

Volume = Area × height × 1/3

From the information given,

Length of square base = 6 cm

Height = 6 cm

Area of square base = 6² = 36 cm²

Volume of square base pyramid

= 36 × 6 × 1/3 = 108 cm³

The volume of the solid would be the sum of the volume of the cube and the volume of the square base pyramid. It becomes

216 + 108 = 324 cm³

5 0
4 years ago
Tessa wants to crochet a blanket for her new baby cousin. Her pattern calls for 900 yards of
vladimir1956 [14]

Answer:

Step-by-step explanation:

8 0
3 years ago
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