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Irina-Kira [14]

3 years ago

14

Which expressions are equivalent after simplifying? Check all that apply. (3.1a – 2.7b) + (1.5a – 4.9b) (2.3a + 0.2b) – 8b (–3.5

b + a) – (4.1b – 3.6a) –0.4b + (8b + 4.6a) 4.6a – 7.6b

2 answers:

ozzi3 years ago

6 0

Answer:

1,2,3

Step-by-step explanation:

fomenos3 years ago

4 0

Answer:

1st one 3rd one and last kne

Step-by-step explanation:

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mrs_skeptik [129]

Step-by-step explanation:

<em><u>radius=diameter/2</u></em>

<em><u>r</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>6</u></em><em><u>/</u></em><em><u>2</u></em><em><u> </u></em><em><u>m</u></em>

<em><u> </u></em><em><u> </u></em><em><u>=</u></em><em><u>3m</u></em>

<em><u>volum</u></em><em><u>e</u></em><em><u> of</u></em><em><u> </u></em><em><u>sphere</u></em><em><u>=</u></em><em><u>4</u></em><em><u>/</u></em><em><u>3π</u></em><em><u>r</u></em><em><u>³</u></em>

<em><u>=</u></em><em><u> </u></em><em><u>4</u></em><em><u>/</u></em><em><u>3π</u></em><em><u>×</u></em><em><u>(</u></em><em><u>3</u></em><em><u>)</u></em><em><u>³</u></em>

<em><u>=</u></em><em><u>36</u></em><em><u>π</u></em><em><u> </u></em><em><u>m³</u></em>

5 0

3 years ago

Mary and Roberto bought identical backpacks at different stores. Mary's backpack originally cost $65 and was discounted 25%. Rob

mihalych1998 [28]

Answer:

Mary's

Step-by-step explanation:

8 0

3 years ago

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

Which of the following sets of points does NOT represent a function?

QveST [7]

1 does not represent a function

6 0

2 years ago

It takes a hose 4 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, and 14 inches tall. How long will it take

Masja [62]

Xmfmxjdjxjcxjdodizjxznzmxfl

5 0

3 years ago

Read 2 more answers