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ohaa [14]
3 years ago
8

Need help asap

Mathematics
1 answer:
Marizza181 [45]3 years ago
3 0
Its b for sure i worked it out
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Two sides of a triangle have measures 3 ft and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate
Basile [38]

Answer:

A. The length of the third side is approximately 5 feet.

B. A = 88^{o}, B = 60^{o} and C = 32^{o}.

Step-by-step explanation:

Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.

A. Let side a = 6 feet and c = 3 feet, thus;

b^{2} = a^{2} + c^{2} - 2ac Cos B

  = 6^{2} + 3^{2} - 2(6 x 3) Cos 60^{o}

  = 36 + 9 - 36 x 0.5

  = 45 - 18

b^{2} = 27

b = \sqrt{27}

  = 5.1962

b  = 5.2 feet

b ≅ 5 feet

The length of the third side is approximately 5 feet.

B. Given that B = 60^{o}, then let us apply the Sine rule to determined the measure of A.

\frac{a}{SinA} = \frac{b}{SinB}

So that,

\frac{6}{Sin A} = \frac{5.2}{Sin60^{o} }

Sin A = \frac{0.886*6}{5.2}

Sin A = 0.99923

A = Sin^{-1} 0.99923

  = 87.75

A ≅ 88^{o}

Since the sum of angle in a triangle = 180^{o}.

Then,

A + B + C = 180^{o}

88^{o} + 60^{o} + C = 180^{o}

148^{o} + C = 180^{o}

C = 180^{o} - 148^{o}

     = 32^{o}

C = 32^{o}

Thus,

A = 88^{o}, B = 60^{o} and C = 32^{o}.

5 0
3 years ago
What is the simplified value of the exponential expression 16^1/4 ?<br> 1/2<br> 1/4<br> 2<br> 4
Archy [21]

Answer:

2

Step-by-step explanation:

Add fractions, divide by wholes, and add the decimal point

Hope this helped, and please mark as Brainliest :)

8 0
3 years ago
For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation c
balu736 [363]
Carey earns c hourly
Anderson earns $6 hourly which is also 1+ c/2So, 6=1+c/2      12=2+cc=$10
Carey earns $10 hourly<span>
</span>
8 0
3 years ago
Read 2 more answers
Another real estate agent sold a house for $315,000 last week. If her commission is 1.25% of the selling price of the home, find
Rus_ich [418]

Answer:

$3937.50

Step-by-step explanation:

315,000 * 1.25% = 315,000 * 1.25/100 = 3,150*1.25 = 3937.5

7 0
2 years ago
Which estimation technique will yield a solution that is closest to the actual product of (–21.06)(–30.45)?
Naddik [55]

Answer:

The answer is C. Rounding to the nearest whole number.

Step-by-step explanation:

Please mark me brainliest

7 0
3 years ago
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