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schepotkina [342]
3 years ago
8

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 :

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4 0
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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x+10x = 11x

-2+11x

8 0
3 years ago
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charle [14.2K]

Answer:

2

Step-by-step explanation:

So let's call the time she needs to catch up "x", and so Terry's rate would be x-6 since he left home 6 hours earlier. Then we multiply the rates to get 20x - 120 = 80x. The answer is -2, but we can just say 2.

Checking our answer, that means if it took Sally 2 hours, it took Terry 8 hours for he left home 6 hours earlier. So 8 times 20 = 160km traveled. 2 times 80 = 160km traveled. Same distance.

3 0
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

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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Answer:

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Step-by-step explanation:

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