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Verdich [7]
3 years ago
10

What is the value of x in a 30-60-90 triangle with a hypotenuse of x+12 and a longer side of x?

Mathematics
1 answer:
enot [183]3 years ago
4 0
In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.

[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.

x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2  [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4] 
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56

I don't think I made a mistake, but it is sure possible.Check the numbers and my method. 
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I = $60, P = $750, r = 4%, t = ?. Find the amount of time
Anuta_ua [19.1K]

Answer:

The time required to  accumulate simple interest of $ 60.00

from a principal of $ 750.00  at an interest rate of 4% per year  is 2 years.

Step-by-step explanation:

Given

  • Interest I = $60
  • Principle P =  $750
  • Interest rate r = 4% = 0.04

To determine

Time period t = ?

Using the formula

I = Prt

t = I / Pr

substitute I = $60, P = $750 and r = 0.04 in the equation

t = 60 / ( 750 × 0.04 )

t = 2  years

Therefore, the time required to  accumulate simple interest of $ 60.00

from a principal of $ 750.00  at an interest rate of 4% per year  is 2 years.

5 0
2 years ago
The values in the table represent an exponential function. What is the common ratio of the associated geometric sequence? x: 1,
Alex73 [517]

Answer:

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Step-by-step explanation:

8 0
3 years ago
If the measure of an angle is 27°,find the measure of its supplement.
finlep [7]

Answer:

153°

Step-by-step explanation:

1. If 27° is the supplement of another angle (or vice versa), that means both angles add up to 180.

2. To find the supplement of 27°, we simply subtract that number from 180.

  • 180 - 27
  • 153

Therefore, the supplement of 27° is 153°.

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Step-by-step explanation:

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