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Ivanshal [37]
3 years ago
12

The sides of a right triangle containing the right angle are (5x) cm and (3x - 1) cm. If the area of the triangle be 60 cm, calc

ulate the length of the sides of the triangle.
Mathematics
2 answers:
ladessa [460]3 years ago
6 0

Answer: hypotenuse (h) = 17 cm

Step-by-step explanation:

Nadusha1986 [10]3 years ago
6 0

The area of a right triangle is found using the formula 1/2 x base x height.

Using the provided information the equation becomes:

60 = 1/2 * 5x * (3x-1)

Combine 1/2 and 5x:

60 = 5x/2 * (3x-1)

Multiply each term by 2/5:

24 = 3x^2 - x

Subtract 24 from each side:

3x^2 - x - 24 = 0

Now factor the polynomial:

(x-3)(3x+8) = 0

Solve for each x for 0:

3-3 = 0, so x = 3

3x +8 = 0 : subtract 8 from each side:

3x = -8

divide both sides by 3: x = -8/3

Since a side of a triangle cannot be a negative value, we now know x = 3

Now replace x in each side with 3 and solve:

5x = 5(3) = 5 x 3 = 15

3x-1 = 3(3)-1 = 9-1 = 8

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Cos A = adj/hyp =  3/5

Tan A = opp/adj =  4/3

Cos 27 = 0.8910065...  --> 0.89

You can just plug that into your graphing calculator, just make sure the degree mode is on.

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2 years ago
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ivann1987 [24]

Opps, wrong answer

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2 years ago
The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $3, sales will reach 6000 Fun Noodles per day d
Salsk061 [2.6K]
PART A:
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 y-yo = m (x-xo)
 First we look for the slope of the line:
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 m = ((5000) - (6000)) / (4-3)
 m = -1000
 Then, we substitute any point in the generic equation:
 (xo, yo) = (4, 5000)
 Substituting:
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2 years ago
Is this set of ordered pairs a function ? (1,9) (0,8) (3,0) (4,9) (7,7).
AURORKA [14]

Answer:

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(1,9) (4,9)

:D

3 0
2 years ago
What is the value of x? Enter your answer in the box. mm Triangle V T K with segment T Y such that Y is on segment V K, between
lapo4ka [179]

Answer:

  VK = x = 98 mm

Step-by-step explanation:

TY is the bisector of angle T, so it divides segments of the triangle proportionally. That is, ...

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  VY = VT·KY/KT = (57 mm)·68/192.2 = 30 mm

Then

  VK = VY + YK = 30 mm + 68 mm

  VK = 98 mm

5 0
3 years ago
Read 2 more answers
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