1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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. 
You might be interested in
A rectangle has an area of 7/8 square feet. If the rectangle has a width of 3/4 foot, what is the length of the rectangle?
blagie [28]

Answer:

i think its b

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Negative 9x plus 1 = negative 80
miss Akunina [59]

Answer:

x = 9

Step-by-step explanation:

first, you would subtract 1 from 80 and get -9x = -81 then you can just divide -81 by -9 or 9 from 81, either way, you'll have x = 9

4 0
3 years ago
Read 2 more answers
HHHHHHEEEEEEELLLLLLPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
maxonik [38]
<span>18c - 27d = 9(2c - 3d)

answer
</span><span>D) 9(2c - 3d)
</span>
hope it helps
7 0
3 years ago
The Carey family took a trip in November. Mary is calculating the gas mileage in miles per gallon for her dad's truck. When he f
yanalaym [24]

Answer:

The size of the tank is 16 gallons

Step-by-step explanation:

Here, we want to calculate the size of the gas tank of the truck

we simply divide the total amount spent by the price per gallon

Mathematically, that will be;

53.28/3.33 = 16 gallons

6 0
3 years ago
Jamere went to the beach. The list below shows the numbers of seashells collected on the beach each day.
Nina [5.8K]

hi!

Step-by-step explanation:

good for jamere but i have no clue what you need help in but i tried ...right?

6 0
3 years ago
Other questions:
  • Find the coordinates of the third vertex that completes the construction of a right triangle on the coordinate plane.
    13·2 answers
  • Length of the bases and h is the height, to answer the question. How many square feet of grass
    7·1 answer
  • Two cars at the same point on I-75. One heads north going 75mph and one heads south going 60mph. How long will it take for the c
    14·1 answer
  • How many diagonals can be drawn from each vertex of a 15-gon?
    9·1 answer
  • The altitude of a plane is 1200 meters. From a point on the ground, the angle of elevation of an airplane is 25º. What is the di
    11·1 answer
  • Store #1: $395 Store #2: $375 Store #3: $410
    5·1 answer
  • The side length of a square with an area of 49
    10·1 answer
  • Zack’s Italian Pizza Bar baked 2,000 pizzas in the first year that they were open. In the second year, they baked 3,000 pizzas a
    10·1 answer
  • What is the value of x?
    6·2 answers
  • Leigh earned the following score from the judges for her balance bean routine. 9.20 9.30 9.20 9.30 9.20 9.00. Q2 cross off the l
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!