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2 years ago

11. Select the proper order from least to greatest for 2/3, 7/6, 1/8, 9/10.

Mathematics

2 answers:

Dafna11 [192]2 years ago

6 0

Step-by-step explanation:

Option A is the correct answer

nikdorinn [45]2 years ago

6 0

Answer:

A is correct

Step-by-step explanation:

$\frac{1}{8}$ is 0.125

$\frac{2}{3}$ is 0.667

$\frac{9}{10}$ is 0.9

$\frac{7}{6}$ is 1.167

which from this you can see that A represents the order from smallest to largest

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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

625/1296 simplified fraction

qwelly [4]

Answer:

163/324

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A suit cost $95 Barry has a discount coupon for 10 %off and the city has 4.5%sales tax .what is the final cost of the suit?

torisob [31]

The final price would be 89.35

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3 years ago

To convert a capacity of 8.7 gallons to quarts, which ratio could you multiply by? remember that 1 gallon = 4 quarts.

Papessa [141]

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3 years ago

X <-4 graphed as an inequality on a number line

iris [78.8K]

See it is < and not ≤ so we don't include -4

put a circle around -4 but don't shade it in
to get there, move 4 units left from 0

then we see x is less than -4
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7 0

3 years ago