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otez555 [7]
3 years ago
13

Triangle UVW has a perimeter of 11.5 units. Solve for y.

Mathematics
1 answer:
vodomira [7]3 years ago
8 0

Answer:

y = 3.2 units

Step-by-step explanation:

Find the missing angle measure x. Use the fact that all interior angle measures in a triangle add up to 180 degrees.

  • 55 + 50 + x = 180
  • 105 + x = 180
  • x = 75

We can use the Law of Cosines to determine the missing side length y.

  • a² = b² + c² - 2bc · cos(A)

Let's set UW (y) as a, WV as b, and UV as c. Therefore, ∠V must be A, ∠U must be B, and ∠W must be C.

Use the Law of Cosines to solve for a (side length y).

  • a² = b² + c² - 2bc · cos(A)
  • a² = (4)² + (3.5)² - 2(4)(3.5) · cos(50)
  • a² = 28.25 - 28cos(50)
  • a² =  28.25 - 17.99805307
  • a² = 10.25194693
  • a = 3.20186616366    

Side length y is equal to 3.2 units.

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Solve for x: x^2 + 28x = 60
Alisiya [41]

For this case we have a quadratic equation, x ^ 2 + 28x-60 = 0, of the form ax ^ 2 + bx + c = 0

Where:

a = 1\\b = 28\\c = -60

We can solve the equation by factoring, that is, we bias two numbers that multiplied give as a result -60 and added as a result 28.

These numbers are:

+30\ and\ -2\\+ 30-2 = + 28\\+ 30 * -2 + -60

Then, the factorization is given by:

(x-2) (x + 30) = 0

The roots are:

x_ {1} = 2\\x_ {2} = - 30

Answer:

x_ {1} = 2\\x_ {2} = - 30

8 0
3 years ago
If a triangle with angle measures 40,30.and 120 centimeters possible?
vagabundo [1.1K]
No, the longest side must be less than the sum of the smaller sides or else they won't connect (try it yourself with straw or something)

40+30>120
70>120
false, therfor they canonot be a triangle
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If q=5 what is the value of 4q + 2q squared
steposvetlana [31]

Answer:

30q or 30


Step-by-step explanation:


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If two fair dice are rolled, what is the probability that the total showing is either even or less than five?
snow_tiger [21]

The Probability that the total showing is either even or less than five = 5/6

<h3>What is Probability?</h3>

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.

<h3>According to the given data:</h3>

The example space for rolling two dice is:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

36 events total.

Events that have a sum that is even or less than Five .

Total instances when the aggregate is even or less than Five equals 30.

P(sum is even or less than 5)

= (Total no of favorable event)/(Total no of event)

= 30/36

=5/6

probability that the total showing is either even or less than five = 5/6

To know more about probability visit :

brainly.com/question/13066369

#SPJ4

6 0
1 year ago
Identify the domain and range of y=[[x]]+2
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Domain = R
Range = R ....
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