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alina1380 [7]
2 years ago
10

HELPPP!! Calculate the side lengths a and b to two decimal places. (there is a picture included)

Mathematics
1 answer:
lara31 [8.8K]2 years ago
8 0

Answer:

Option (D)

Step-by-step explanation:

In the given triangle ABC,

Sum of all interior angles = 180°

m∠A + m∠B + m∠C = 180°

72° + 85° + m∠C = 180°

m∠C = 180 - 157

m∠C = 23°

By applying Sine rule in the triangle,

\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{\text{SinC}}{c}

\frac{\text{Sin72}}{a}=\frac{\text{Sin85}}{b}=\frac{\text{Sin23}}{6.2}

\frac{\text{Sin72}}{a}=\frac{\text{Sin85}}{b}=0.06302

\frac{\text{Sin72}}{a}=0.06302

a = \frac{\text{Sin72}}{0.06302} = 15.09

\frac{\text{Sin85}}{b}=0.06302

b = \frac{\text{Sin85}}{0.06302}

b = 15.81

Therefore, option (D) will be the answer.

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8 0
3 years ago
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
RideAnS [48]

Step-by-step explanation:

The function is as follows :

f(x) = x^2 + 5x + 5

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Here,

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So,

x=\dfrac{-5\pm \sqrt{5^2-4\times 1\times 5} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{25-20} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{5} }{2}

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6 0
3 years ago
What is 1/2,0.55,5/7 in least to greatest?
Neporo4naja [7]

Answer:

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Step-by-step explanation:

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3 0
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Read 2 more answers
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densk [106]

Answer: hope this helps you

EXAMPEL :

Jacob and Zachary go to the movie theatre and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bags of popcorn and three drinks. Zachary spends a total of $27.50 for four bags of popcorn and two drinks.

Step-by-step explanation:

let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:

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From this, we can use substitution or elimination to solve:

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For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.

I'll be using elimination in this case:

-2(2p + 3d = 18.25) --> -4p - 6d = -36.50

-4p - 6d = -36.50

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2 * 5.75 + 3 * 2.25 = 18.25

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18.25 = 18.25

So drinks cost $2.25 and popcorn $5.75

4 0
2 years ago
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