MATHEMATICS COLLEGE

Solve for x. Round to the nearest tenth. triangle 67, 29, x​
solve for x. Round to the nearest tenth. triangle 67, - 1

Answers

Answer 1
Answer:

Final answer:

To solve for x in a triangle with side lengths of 67, 29, and x, we can use the Law of Cosines. The value of x is approximately 47.6.

Explanation:

To solve for x in the given triangle with side lengths 67, 29, and x, we can use the Law of Cosines. The Law of Cosines states that for any triangle with side lengths a, b, and c and angle C opposite side c, the following equation holds true: c^2 = a^2 + b^2 - 2ab*cos(C). In this case, we can substitute the given values into the equation and solve for x. Let's calculate it:

x^2 = 67^2 + 29^2 - 2*67*29*cos(C)

x^2 = 4489 + 841 - 3886cos(C)

Solving for x, we find that x is approximately 47.6.

Learn more about Law of Cosines here:

brainly.com/question/21634338

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Answer 2
Answer:

Answer:

84°

Step-by-step explanation:

Because every triangle has a combined side length of 180°

67+29=96°

180-96=84°

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The temperature was -12 degrees in the morning and rose to a high of 27 degrees for the day. What was the increase in temperature for the day? 12 degrees 15 degrees 27 degrees 39 degrees

Answers

Answer:

39

Step-by-step explanation:

27 - -12 is 39, friend.

Answer:

39

Step-by-step explanation:

It takes a book editor 28 minutes to edit 6 pages. Find how long it takes her to edit 45 pages

Answers

Answer:

Around 9.57 minutes to edit

Step-by-step explanation:

Do 28 divided by 6 to get around 4.7. Then do 45 divided by 4.7 to get the answer.

Please help answer this

Answers

Answer:

the missing length is 5

Step-by-step explanation:

Since we are given similar triangles, we can simply use proportions to solve the problem:

we say that 2 is to side of length 4, the same as m is to side lengths 10. And in math terms:

(2)/(4) =(m)/(10) \nm=(2*10)/(4) \nm=(20)/(4) = 5
5 because 4/2 is 2 and 10/2 is 5

What is the solution to the system of equations?3x+10y=-47
5x - 7y=40
O (1.-5)
O (1,5)
0 (-1,-5)
0 (-1,5)

Answers

Answer:

x=1 ,y=-5

Step-by-step explanation:

3x + 10y = 47

5x - 7y = 40

____________

21x + 70y = 329. equ 1

50x - 70y = 400. equ 2

subtract equ 1 from 2

=71x = 71

divide both sides by the 71

71/71 = 71/71

x = 1

_________

to find y

substitute x into either equ 1 or equ 2

am using equ 2

5x - 7y = 40

5(1) - 7y = 40

5 - 7y = 40

7y = 5 - 40

7y = -35

divide both sides by the coffecient of y

7y/7 = -35/7

y = - 5

WILL MARK BRAINLIEST PLEASE HELP

Answers

Answer:

  1) h = -1/2t^2 +10t

  2) h = -1/2(t -10)^2 +72

  3) domain: [0, 20]; range: [0, 50]

Step-by-step explanation:

1.) I find it easiest to start with the vertex form when the vertex is given. The equation of the presumed parabolic path for Firework 1 is ...

  h = a(t -10)^2 +50

To find the value of "a", we must use another point on the graph. (0, 0) works nicely:

  0 = a(0 -10)^2 +50

  -100a = 50 . . . . . . subtract 100a

  a = -1/2 . . . . . . . . . divide by -100

Then the standard-form equation is ...

  h = (-1/2)(t^2 -20t +100) +50

  h = -1/2t^2 +10t

__

2.) The path of Firework 2 is translated upward by 22 units from that of Firework 1.

  h = -1/2(t -10)^2 +72

__

3.) The horizontal extent of the graph for Firework 1 is ...

  domain: 0 ≤ t ≤ 20

The vertical extent of the graph for Firework 1 is ...

  range: 0 ≤ h ≤ 50
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