CALCULATE THE VALUE OF X IN THE FOLLOWING DIAGRAM.

Mathematics

1 answer:

Dvinal [7]3 years ago

8 0

Answer:

$tan(55.3) = \frac{ac}{10.5}$

ac=

$10.5 \tan(55.3)$

$x = 10.5 \tan(55.3) - 10.5$

$x = 4.67(2dp)$

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Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 pe

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A,B,C,D i.e. all statements are true!

<u>Step-by-step explanation:</u>

According to question, Lynn works as a part-time vendor selling necklaces for $15 each and bangles for $10 each. She needs to earn a minimum of $300 per week to cover her expenses. The inequality for above scenario will be :

$15x + 10y\geq 300$ where, x is number of necklaces & y is number of bangles.

Lynn will meet her goal if she sells 12 bangles and 12 necklaces. i.e. x=12 and y=12 , putting values inequality : $15(12) + 10(12) = 300$ which follows inequality . True statement!

Lynn will meet her goal if she sells 20 bangles and 6 necklaces.

putting values inequality : $15(6) + 10(20) = 290$ which follows inequality . True statement!

Lynn will meet her goal if she sells 6 bangles and 12 necklaces. putting values inequality : $15(12) + 10(6) = 240$ , which follows inequality . True statement!

Lynn will meet her goal if she sells 2 bangles and 18 necklaces.putting values inequality : $15(18) + 10(2)=290$ , which follows inequality . True statement!