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3 years ago

Please help with the question in the photo below.

Mathematics

2 answers:

kkurt [141]3 years ago

7 0

Answer:

53.8°

Step-by-step explanation:

Use cosine law

67² = 72² + 76² - 2(72)(76)cosX

cosX = 719/1216

X = 53.75190075

maw [93]3 years ago

7 0

Answer:

Step-by-step explanation:

Since we know the three sides and no angle is known, we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes

SR² = SQ² + QR² - 2(SQ × QR)CosQ

67² = 76² + 72² - 2(76 × 72)CosQ

4489 = 5776 + 5184 - 2(5472)CosQ

4489 = 10960 - 10944CosQ

10944CosQ = 10960 - 4489

10944CosQ = 6471

CosQ = 6471/10944

CosQ = 0.59

Q = Cos^(- 1)0.59

Q = 53.8° to the nearest tenth

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aleksklad [387]

Answer:

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Step-by-step explanation:

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3 years ago

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evablogger [386]

Answer:

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Step-by-step explanation:

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2 years ago

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denis23 [38]

$6n+9=-3-21-6$
subtract the numbers: $-3-21-6=-30$
$6n+9=-30$
subtract 9 from both sides
$6n+9-9=-30-9$
simplify
$6n=-39$
divide both sides by 6
$\frac{6n}{6}= \frac{-39}{6}$
$n= \frac{-13}{6}$
decimal $n=-6.5$
Hope this helps :)

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