Brian wrote this expression to describe the total distance he was going to hike in two weeks.

1 answer:

6 0

A would be the answer because Brain might not have been paying attention to the miles so he adds a to the 5 miles he walked the next week.

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Simplify the expression given below. 1/2x2-4x

stepan [7]

The answer is :

1 - 4x

5 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

What IS 23443x/3.14159

mamaluj [8]

Answer:

7462.14496x

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Which is least 1.3 1 1/3 or 1.34

Evgesh-ka [11]

1.3 is the least because ur supposed to add a zero so they can all be the same place value

5 0

3 years ago

Tapiwa takes 5% more leaves than adam raked. together they raked 697 liters of leaves

Nina [5.8K]

----------------------------------
Define their percentage:
----------------------------------
Adam = 100%
Tapiwa = 100 + 5 = 105%

----------------------------------
Find their total percentage:
----------------------------------
100 + 105 = 205

----------------------------------
Find 1%
----------------------------------
205% = 697 liters
1% = 3.4 liters

----------------------------------
Find 100% (Adam):
----------------------------------
100% = 3.4 x 100
100% = 340 liters

----------------------------------
Find 105% (Tapiwa):
----------------------------------
105% = 3.4 x 105
105% = 357 liters

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Answer: Tapiwa = 357 liters and Adam = 340 liters.
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8 0

3 years ago