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aleksley [76]
3 years ago
8

Use trigonometry to solve the triangle shown. Round all side lengths to one decimal place and

Mathematics
1 answer:
Eddi Din [679]3 years ago
3 0

Answer/Step-by-step explanation:

Recall: SOH CAH TOA

✔️Find <A:

Reference angle (θ) = A

Opposite side = 14 cm

Hypotenuse = 20 cm

Apply SOH:

Sin θ = Opp/Hyp

Substitute

Sin A = 14/20

A = sin^{-1}(\frac{14}{20})

m<A = 44° (nearest whole number)

✔️Find <C:

Reference angle (θ) = C

Adjacent side = 14 cm

Hypotenuse = 20 cm

Apply CAH:

Cos θ = Adj/Hyp

Substitute

Cos C = 14/20

C = cos^{-1}(\frac{14}{20})

m<C = 46° (nearest whole number)

✔️Find AB:

Reference angle (θ) = C = 46°

Opposite side = AB

Hypotenuse = 20 cm

Apply SOH:

Sin θ = Opp/Hyp

Sin 46° = AB/20

20*Sin 46° = AB

AB = 14.4 cm (one decimal place)

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2p+6a=14
2(7-3a)+6a=14
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2 years ago
Completely factor the given expression over the integers.<br><br> (Correct gets brainliest)
elena-14-01-66 [18.8K]

Answer:

50

Step-by-step explanation:

would it be 50 because you the q to the power of 2 is 2q. Then you would subtract to the other side of the equation so it would be -100=-2q. After you would divided the -2 in -2q on both sides and -100/-2 is 50. So your answer is q=50

7 0
3 years ago
Bob's Gift Shop sold 600 cards for Mother's Day. One salesman, Victoria, sold 10% of the cards sold for Mother's Day. How many c
Aleonysh [2.5K]

Answer:

60

Step-by-step explanation:

600*10%

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3 years ago
Brenda and Michael simplify the expression, as shown below.
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2 years ago
Read 2 more answers
A drug used to relieve anxiety and nervousness has a half-life of 16 hours. if a doctor prescribes one 2.8-milligram every 24 ho
dlinn [17]

After 24 hours, 35.4% of the initial dosage remains on the body.

<h3>What percentage of the last dosage remains?</h3>

The exponential decay is written as:

f(x) = A*e^{-k*x}

Where A is the initial value, in this case 2.8mg.

k is the constant of decay, given by the logarithm of 2 over the half life, in this case, is:

k = ln(2)/16h

Replacing all that in the above formula, and evaluating in x = 24 hours we get:

f(24h) = 2.8mg*e^{-24h*ln(2)/16h} = 0.9899 mg

The percentage of the initial dosage that remains is:

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brainly.com/question/11464095

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2 years ago
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