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patriot [66]
3 years ago
9

Use right triangle DCB to find the trig values for angle D. sinD = cosD = tanD =

Mathematics
2 answers:
Sever21 [200]3 years ago
4 0
Sin D=35/37
cos D=12/37
tan D= 35/12
Use SOHCAHTOA
Natali5045456 [20]3 years ago
4 0

Answer:

sin(D)=\frac{35}{37}

cos(D)=\frac{12}{37}

tan(D)=\frac{35}{12}

Step-by-step explanation:

<u>Part a)</u> Find sin(D)

we know that

In a right triangle the value of sine of  an angle is equal to the opposite side to the angle  divided by the hypotenuse

sin(D)=\frac{CB}{DB}

substitute the values

sin(D)=\frac{35}{37}

<u>Part b)</u> Find cos(D)

we know that

In a right triangle the value of cosine of  an angle is equal to the adjacent side to the angle  divided by the hypotenuse

cos(D)=\frac{DC}{DB}

substitute the values

cos(D)=\frac{12}{37}

<u>Part c)</u> Find tan(D)

we know that

In a right triangle the value of tangent of  an angle is equal to the opposite side to the angle  divided by the adjacent side to the angle

tan(D)=\frac{CB}{DC}

substitute the values

tan(D)=\frac{35}{12}

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klemol [59]

Answer:

3x=78+(x-2)

Step-by-step explanation:

The complete question in the attached figure

we know that

The <u><em>Triangle Exterior Angle Theorem</em></u> states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

In this problem

3x=78+(x-2)

solve for x

3x=76+x\\3x-x=76\\2x=76\\x=38^o

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3 years ago
Giovanna has two possible driving routes to her new workplace, and she is having a hard time figuring out which is faster. The f
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Answer:

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Step-by-step explanation:

An observational study is a study where researchers simply collect data based on what is seen and heard and make inferences based on the data collected.

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5 0
3 years ago
The sum of five times a number and 6 more than the number is the same as the difference between -18 and twice the number. What i
goblinko [34]
N = -3
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divide 8 to both sides
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4 0
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There are 14 people competing and only 4 will win the contest. What percentage does each person have in winning? or what are my
vova2212 [387]

Answer:

each person would have a 3.5% chance of winning the contest

Step-by-step explanation:

7 0
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Divide the following complex numbers: (4-i)/(3+4i) ??
Mamont248 [21]

Given : \frac{(4 - i)}{(3 + 4i)}

Multiplying and Dividing with (3 - 4i)

\implies\frac{(4 - i)(3 - 4i)}{(3 + 4i)(3 - 4i)}

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Option D is the Answer

3 0
3 years ago
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