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2 years ago

What is .13 repeating as a fraction?

Mathematics

1 answer:

Irina18 [472]2 years ago

5 0

13/99 is the fraction.

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Find the volume and surface area of the composite figure. Give your answer in terms of π.

irakobra [83]

Answer:

V = 240π cm^3 , S= 168π cm^2

Step-by-step explanation:

The given figure is a combination of hemi-sphere and a cone

<u>Volume:</u>

For volume

r = 6 cm

h = 8 cm

$Volume\ of\ cone = \frac{1}{3}\pi r^2h\\= \frac{1}{3}\pi (6)^2*8\\=\frac{1}{3}\pi *36*8\\=\frac{288}{3}\pi\\=96\pi cm^3 \\\\Volume\ of\ hemisphere = \frac{2}{3}\pi r^3\\=\frac{2}{3}*\pi * (6)^3\\=\frac{2}{3}*\pi *216\\=\frac{432}{3}\\=144\pi cm^3 \\\\Total\ Volume= Volume\ of\ cone + Volume\ of\ hemisphere\\= 96\pi +144\pi \\=240\pi cm^3$

<u>Surface Area:</u>

For this particular figure we have to consider the lateral area of the cone shape and surface area of the hemisphere

We have to find the lateral height

$l = \sqrt{r^2+h^2}\\ l = \sqrt{(6)^2+(8)^2} \\l= \sqrt{36+64}\\ l = \sqrt{100}\\l = 10cm\\\\Surface\ area\ of\ cone = \pi rl\\= \pi (6)(10)\\=\pi *60\\=60 \pi\ cm^2\\\\Surface\ area\ of\ hemisphere = 2\pi r^2\\= 2 \pi * (6)\\= 2 \pi *36\\= 72 \pi\ cm^2\\\\Total\ surface\ Area = Surface\ area\ of\ cone + Surface\ area\ of \ hemisphere\\= 60 \pi + 72 \pi\\=132 \pi\ cm^2$

Hence the first option is correct ..

3 0

2 years ago

Please guys help me qith this i will brainlist u i promise

valkas [14]

Answer:

1. 3,085,003

2. 114,000,726

3. 7,098,000

4. 882,108

5. 500,006,719

Step-by-step explanation:

3 0

2 years ago

Heyy could you help me out with this problem???

Elan Coil [88]

Answer:

not sure

Step-by-step explanation:

sorry :/

7 0

2 years ago

“Please help me I will give a BRAINLY and a THANKS and a 5 STAR RATE”

skelet666 [1.2K]

Answer:

i think 55/14 if not srry

Step-by-step explanation:

7 0

2 years ago

2x= -10 what is x??????

Reptile [31]

The correct answer is X = -5

5 0

2 years ago