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STALIN [3.7K]
3 years ago
6

Find the value of x. Round to the nearest tenth A. 4.6 B. 5.0 C. 7.8 D. 9.3

Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0

Answer:

C. 7.8

Step-by-step explanation:

This problem involves the use of a trigonometric ratio. This one specifically involves the use of cosine as it provides the leg adjacent to the angle and the hypotenuse.

cos(40) = 6/x

cos(40)*x=6/x*x

cos(40)*x=6

cos(40)/cos(40)*x=6/cos(40)

x=6/cos(40)

x=7.83

The value of x is C. 7.8

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Brielle and Joshua are running a half marathon race, which is 13.1 miles long. It takes Brielle 10 minutes to run 1.25 miles and
CaHeK987 [17]

Answer: Brielle will run the marathon faster.

Brielle = 104.8 minutes  

Joshua = 157.2 minutes

Step-by-step explanation:

Speed rate = distance /time

Brielle = 1.25 /10 = 0.125 miles per minute

Joshua = 1.5/18 = 0.083333 =1/12 miles per minute

Since 0.125 (Brielle) > 1/12 (Joshua)

Brielle will run the marathon faster.

To calculate the time that takes each one to run the entire race (13.1 miles)

Time= distance / speed

  • Brielle = 13.1 /0.125 = 104.8 minutes
  • Joshua = 13.1 / (1/12)= 157.2 minutes

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
What is the solution to the equation 2x+4 - 12 = 20?<br> O X=0<br> O X=1<br> O X= 2<br> O X=9
Alex Ar [27]

Answer:

x = 14

Step-by-step explanation:

2x+4 - 12 = 20

2x - 8 = 20

2x = 28

x = 14

5 0
3 years ago
Need some geometry help
GenaCL600 [577]
Check the picture below.

that means

angle AFB is 27 + 2 = 29

angle BFC is 2(27) + 12 = 66

and angle CFD is 2(27) or 54

so hmmmm, you'd know which one isn't there.

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3 years ago
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