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3 years ago

What is 1.3 repeating as a fraction

Mathematics

2 answers:

lesya692 [45]3 years ago

5 0

It would be 1 and 3/10

Alex_Xolod [135]3 years ago

3 0

1 1/3 would be the answer.

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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

3 years ago

Ben simplified this expression (2x^-4y^7 / 3x^3y^2)^3 Analyze bens work. did he simplify the expression correctly? If not, what

katovenus [111]

-c

No , he needed to apply the exponents to all factors in the product in the second step .

6 0

3 years ago

100000 less than 560313 is

arsen [322]

100000
-560313

460313

3 0

3 years ago

Jackson’s mom limits the amount of time he is allowed to play video games. After Jackson plays for 9minutes, his mom tells him t

jeka94

Answer:

21 minutes

Step-by-step explanation:

30%=9

10%=3

100%-30%=70%

7×10%=70%

3x7=21

=21minutes

5 0

3 years ago

Please give me the correct answer. No mistakes. Thanks.

IceJOKER [234]

Answer:

Hello there, I think the answer you are looking for is 16.6

Step-by-step explanation:

I'm Katie, I hope this helps you. :] , have a great day.

6 0

3 years ago