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OverLord2011 [107]
3 years ago
11

Someone please help this is so confusing

Mathematics
1 answer:
Sphinxa [80]3 years ago
8 0

Answer:

a is 10

Step-by-step explanation:

parallel lines have the same slope, but a different y intercept

you would substitute the ordered pair in for x and y

y=-2x+10

<u>Hope this helps :-)</u>

<u />

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leva [86]
You just cross multiply and then simplify
3 0
2 years ago
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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
Find the value of 3/4 of 10
Tpy6a [65]

Answer:

Step-by-step explanation:

7.5

4 0
3 years ago
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Put these numbers in order from greatest to least.<br>0.012<br>0.002<br>0.02<br>0.512<br>​
prisoha [69]

Answer: 0.512, 0.020, 0.012, 0.002

Step-by-step explanation:

To put these decimals in the order from greatest to least, we first need to make sure they all have the same place values.

0.012, 0.002, 0.020, 0.512

Now that they have the same place values, we can see which is bigger.

0.512, 0.020, 0.012, 0.002

8 0
3 years ago
Find the zeros of the quadratic function: y= 6(7x + 9)(8x - 3).
fiasKO [112]

Answer:

A) (-9/7,0), (3/8,0)

Step-by-step explanation:

Zeros of a quadratic function:

x for which y = 0.

In this question:

y = 6(7x + 9)(8x - 3)

It's 0 if one of the factors is 0. 6 is never 0, now about the other to:

7x + 9 = 0

7x = -9

x = -\frac{9}{7}

So (-9/7, 0) is a zero of the quadratic function.

The other is:

8x - 3 = 0

8x = 3

x = \frac{3}{8}

(3/8,0) is the other zero.

Thus, the correct answer is given by option A.

6 0
2 years ago
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