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3 years ago

What is the midpoint of the segment with endpoints (-1,6) and (0,7)

Mathematics

1 answer:

polet [3.4K]3 years ago

4 0

Answer:

( -0.5 , 6.5 )

Step-by-step explanation:

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What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm?

Rasek [7]

Answer:

$105.84\ cm^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is

$A=\pi r^{2}$

we have

$r=21.2/2=10.6\ cm$ ----> the radius is half the diameter

substitute

$A=\pi (10.6)^{2}$

$A=112.36\pi\ cm^2$

step 2

Find the area of a sector

Remember that

The area of the circle subtends a central angle of 360 degrees

using proportion

Find out the area of a sector with a central angle of 108 degrees

$\frac{112.36\pi}{360^o}=\frac{x}{108^o}\\\\x=112.36\pi(108)/360\\\\x=33.708\pi\ cm^2$

assume

$\pi=3.14$

substitute

$33.708(3.14)=105.84\ cm^2$

7 0

3 years ago

Work out the ratio of the volume of the sphere to the volume of the cylinder

N76 [4]

so we know the radius of the sphere is 8, and its surface area is 4πr², therefore its surface area is 4π8², namely 256π.

we also know that the surface area of the cylinder is half that of the sphere, namely 256π/2 or 128π, let's use that surface area to get the height h.

$\bf \textit{total surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=4\\ SA=128\pi \end{cases}\implies 128\pi =2\pi (4)(h+4) \\\\\\ 128\pi =8\pi(h+4)\implies \cfrac{128\pi }{8\pi }=h+4\implies 16=h+4\implies \boxed{12=h}$

since now we know h and r for the cylinder, and we also know r for the sphere, let's check their volume's ratio.

$\bf \begin{array}{|c|ll} \cline{1-1}\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\\\\ \textit{volume of a cylinder}\\\\ V=\pi r^2 h\\\\ \cline{1-1} \end{array}~\hspace{3em}\cfrac{~~\frac{4\pi 8^3}{3}~~}{\pi (4)^2(12)}\implies \cfrac{~~\frac{2048\pi }{3}~~}{192\pi } \\\\\\ \cfrac{2048\pi }{3}\cdot \cfrac{1}{192\pi }\implies \cfrac{32}{9}$

8 0

3 years ago

If anybody knows the answer i woulf appreciate it!!

Alenkasestr [34]

I believe that because there are 180 degrees in a triangle, and ACB is a triangle, you can add up two of the angles and subtract that from 180. So
30+50=80 and 180-80=100, that mean the angle above angle 1 is 100. And since angle one and that angle 100 are vertical angles, angle 1 = 100

4 0

3 years ago

Read 2 more answers

Tyler's father is a used car salesman. He receives 5% commission for every car he sells. How much commission does he earn if he

hoa [83]

Answer:

$23,100

Step-by-step explanation:

First you find 5% of 22,000 which is 1,100. You earn commission so you add 1,100 to 22,000. Therefore getting your answer of $23,100.

4 0

3 years ago

2/a - 6 = 12<br> = 12<br> Nejekernammd