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MAVERICK [17]
3 years ago
12

Please Help! 1/4a^2=10

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0

Answer:

a = 6.32  or 2(sqrt 10)  

Step-by-step explanation:

1/4a^2 = 10      

multiply both sides by 4:

a^2 = 40

a = sqrt 40 = 6.32  or 2(sqrt 10)  

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Find the given value of each angle for the following supplementary angles must add up to 180
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<u>QUESTION :</u>

Find the given value of each angle for the following supplementary angles must add up to 180

\Large{\underline{\mathcal{ Given : }}}

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\Large{\underline{\mathcal{Tofind : }}}

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\Large{\underline{\mathcal{Solution : }}}

➱<em>ᴛʜᴇ ᴛᴡᴏ ᴀɴɢʟᴇs ʟɪᴇs ᴏɴ ᴛʜᴇ sᴀᴍᴇ ʟɪɴᴇ</em>

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therefore ,

⤳(5x-13)° + (11x+65)° = 180°

⤳5x -13° + 11x + 65° = 180°

⤳16x + 52° = 180°

⤳16x = 180° - 52°

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\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ x =  \frak{\red{ 8 }}}}}

hence ,

the two angles will be

⇛<u>ᴏɴᴇ ᴀɴɢʟᴇ</u> :

<em>➛</em>(5x-13)°

<em>➛</em>5(8) - 13

<em>➛</em>40 - 13

\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ᴏɴᴇ\: ᴀɴɢʟᴇ =  \frak{\red{ 27° }}}}}

⇛<u>ᴀɴᴏᴛʜᴇʀ ᴀɴɢʟᴇ</u> :

<em>➛</em><em> </em>(11x+65)°

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\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boxed{\sf{ᴀɴᴏᴛʜᴇʀ\: ᴀɴɢʟᴇ = \frak{\red{ 153° }}}}}

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