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3 years ago

Help solve this pls ASAP

Mathematics

1 answer:

daser333 [38]3 years ago

3 0

Answer:

m<h = 100 deg

Step-by-step explanation:

Draw a segment connecting the two parallel lines. Draw that segment near the parallel line symbols (the small arrowheads). Now you have a pentagon. The sum of the measures of the interior angles of a pentagon is

(n - 2)180 = (5 - 2)180 = 3(180) = 540

The angles the new segment makes with the parallel lines are same-side interior angles of parallel lines cut by a transversal, so they are supplementary. Their measures add up to 180 deg.

180 + 98+ 162 + h = 540

h + 440 = 540

h = 100

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Stella [2.4K]

Answer:

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Step-by-step explanation:

The given information is

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3 years ago

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Step-by-step explanation:

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3 years ago

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frutty [35]

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3 years ago

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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

Volume:

For volume

r = 6 cm

h = 8 cm

$Volume\ of\ cone = \frac{1}{3}\pi r^2h\\= \frac{1}{3}\pi (6)^2*8\\=\frac{1}{3}\pi *36*8\\=\frac{288}{3}\pi\\=96\pi cm^3 \\\\Volume\ of\ hemisphere = \frac{2}{3}\pi r^3\\=\frac{2}{3}*\pi * (6)^3\\=\frac{2}{3}*\pi *216\\=\frac{432}{3}\\=144\pi cm^3 \\\\Total\ Volume= Volume\ of\ cone + Volume\ of\ hemisphere\\= 96\pi +144\pi \\=240\pi cm^3$

Surface Area:

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 ..

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3 years ago

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lakkis [162]

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3 years ago