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3 years ago

What is m∠1? Help me, please

Mathematics

1 answer:

Elenna [48]3 years ago

8 0

Answer:

32°

Step-by-step explanation:

Since the 147° angle and ∠2 form a Linear pair, sum of these angle must be 180°

147° + ∠2 = 180°

∠2 = 180° - 147° [subtracting 147° from both sides]

∠2 = 33°

Since all internal angles of a triangle add up to 180°,

∠1 + ∠2 + 115° = 180°

∠1 + 33° + 115° = 180°

∠1 + 148° = 180°

∠1 = 180° - 148° [subtracting 148 from both sides]

∠1 = 32°

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Easy points. this is due tomorrow, the formula is given but im not sure how to solve. help? x

ozzi

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

h = height of cone = 10 cm

r = radius of cone/sphere = ??

Volume of cone = 270 pi cm³

Volume of cone is :

$\qquad \sf \dashrightarrow \:v = 270 \pi$

$\qquad \sf \dashrightarrow \: \dfrac{1}{3} \cancel\pi {r}^{2} h = 270 \cancel\pi$

$\qquad \sf \dashrightarrow \:r {}^{2} \sdot10 = 270 \times 3$

$\qquad \sf \dashrightarrow \: {r}^{2} = 810 \div 10$

$\qquad \sf \dashrightarrow \: { {r}^{2} }^{} = 81$

$\qquad \sf \dashrightarrow \:r = \sqrt{81}$

$\qquad \sf \dashrightarrow \:r = 9 \: \: cm$

Now, let's calculate volume of solid sphere with same radius is ~

$\qquad \sf \dashrightarrow \:vol = \dfrac{4}{3} \pi {r}^{3}$

$\qquad \sf \dashrightarrow \:vol = \dfrac{4} {3} \sdot\pi \sdot {9}^{3}$

$\qquad \sf \dashrightarrow \:vol = \dfrac{4} {3} \sdot\pi \sdot 729$

$\qquad \sf \dashrightarrow \:vol = {4} {} \sdot243 \sdot\pi$

$\qquad \sf \dashrightarrow \:vol = 97 2\pi \: \: {cm}^{3}$

So, volume of the solid sphere in terms of pi is :

972 pi cm³

<u>note</u> : the solid figure attached below the cone is a hemisphere, so if the volume of hemisphere is asked then just dovide the result for sphere by 2. that is :

972pi / 2 = 486 pi cm³

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2 years ago

What is X-5+10x+3???

Alekssandra [29.7K]

Answer:

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Step-by-step explanation:

Combine like terms

(-5+3)+(x+10x)

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3 years ago

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charle [14.2K]

Answer:

Step-by-step explanation:

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3 years ago

What is 6 3/4 as an improper fraction

Kobotan [32]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Improper fractions are sometimes called 'top heavy fractions'

You'll see why below

Multiply 6 by 4:

6 x 4 = 24

Add 3 :

24 + 3 = 27

The improper fraction would be 27/4

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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shepuryov [24]

Answer:

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Step-by-step explanation:

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