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TEA [102]
3 years ago
11

Please answer this problem worth 59 pts

Mathematics
2 answers:
andre [41]3 years ago
5 0

Answer:

  • 35.2

Step-by-step explanation:

<u>Find the missing angle:</u>

  • m∠L = 180° - 60° - 45° = 75°

<u>Use the law of sines to determine the lengths of the sides:</u>

  • LM / sin ∠K = KM / sin 75°
  • 12 / sin 60° = KM / sin 75
  • KM = 12 sin 75° /sin 60° = 13.4 (rounded)
  • KL / sin ∠M = LM / sin ∠K
  • KL / sin 45° = 12 / sin 60°
  • KL = 12 sin 45° / sin 60° = 9.8 (rounded)

<u>Find perimeter:</u>

  • P = 12 + 13.4 + 9.8 = 35.2
Over [174]3 years ago
5 0

35.2 is ur answer

See the attached picture.

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Help!
lord [1]

Answer:

  1

Step-by-step explanation:

The square of the value in the empty space is the constant in the expanded expression. That is ...

  [ ]² = 1

The value in the space is ...

  [ ] = √1 = 1

The filled-in equation is ...

  (3x -1)² = 9x² -6x +1

_____

The expansion of the square of a binomial is ...

  (ax -b)² = a²x² -2abx +b²

Above, we used the constant term to find 'b', but we could also have used the linear term:

  -6x = -2(3)bx . . . . . a=3 in this problem

  1 = b . . . . . . . divide by -6x

6 0
3 years ago
In a certain year, the price of gasoline rose by 20% during January, fell by 20% during February, rose by 25% in March, and fell
satela [25.4K]

Using decimal multipliers, it is found that the value of x is of 16.67.

<h3>What is a decimal multiplier?</h3>

Increases of a% or decreases of a% re represented by decimal values, as follows:

  • The equivalent multiplier for an increase of a% is given by: \frac{100 + a}{100}
  • The equivalent multiplier for an decrease of a% is given by: \frac{100 - a}{100}

In this problem:

  • The price at the beginning of January was of a.
  • Increase of 20% in January, hence 1.2a.
  • Decrease of 20% in February, hence 1.2(0.8)a.
  • Increase of 25% in March, hence 1.2(0.8)(1.25)a.
  • Decrease of x% in April, hence 1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a

The price of gasoline at the end of April was the same as it had been at the beginning of January, hence:

a =1.2(0.8)(1.25)\left(\frac{100 - x}{100}\right)a

1.2\left(\frac{100 - x}{100}\right) = 1

\left(\frac{100 - x}{100}\right) = \frac{1}{1.2}

\frac{100 - x}{100} = 0.8333

100 - x = 83.33

x = 16.67

The value of x is of 16.67.

To learn more about decimal multipliers, you can take a look at brainly.com/question/24952336

6 0
2 years ago
-5(5c-3b-1) distribute property
andrew11 [14]

Answer:-25c+15b+5 ..add it up then boom you'll get your answer

Step-by-step explanation:

4 0
3 years ago
Help me find the X please !! Thank youu
Elenna [48]
We can use the vertical angle theorem which states that any two opposite angles are congruent. So, you can just set the two measures equal to each other and solve for x:
7x-99=2x+1
5x-99=1
5x=100
x =  \frac{100}{5} = 20

So, your answer is 20°.
5 0
3 years ago
3p + 4r = q solve for p
Aleksandr-060686 [28]

Answer:

p = \dfrac{q - 4r}{3}

Step-by-step explanation:

3p + 4r = q

3p = q - 4r

p = \dfrac{q - 4r}{3}

7 0
4 years ago
Read 2 more answers
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