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Radda [10]
3 years ago
15

What is the value of theta for the acute angle in a right triangle?

Mathematics
2 answers:
balu736 [363]3 years ago
5 0

we are given

sin(\theta)=cos(73)

we have to find theta

so, firstly we can write sin in terms of cos

sin(\theta)=cos(90-\theta)

now, we can set it equal

cos(90-\theta)=cos(73)

Since, both sides are cos

so, we can set angles equal

90-\theta=73

now, we can solve for theta

we get

\theta=17..............Answer

Anastasy [175]3 years ago
3 0

Answer: 17

Step-by-step explanation:Took the the 100% ..

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Paha777 [63]

Answer:

(1\frac{1}{15},3\frac{5}{12})

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

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The y's are 3\frac{1}{6} and 3\frac{2}{3}.

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Division by 2 is the same as multiplying by 1/2:

\frac{13}{6}+\frac{-11}{10}

The least common multiple of 6 and 10 is 30.  We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

\frac{65}{30}+\frac{-33}{30}

Now that the bottoms are the same we can write as one fraction:

\frac{65+-33}{30}

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There is one 30 and 32 and so 32-30=2 is the remainder.

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\frac{3\frac{1}{6}+3\frac{2}{3}}{2}

Write the mix fractions as improper fractions:

\frac{\frac{19}{6}+\frac{11}{3}}{2}

Dividing by 2 is the same as multiplying by 1/2:

\frac{19}{12}+\frac{11}{6}

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\frac{19}{12}+\frac{22}{12}

Since the denominators are the same we can write as a single fraction:

\frac{41}{12}

How many 12's are in 41? 3 and so the remainder is 41-3(12)=41-36=5.

3\frac{5}{12}

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