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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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Lilian says that 25% of a number will always be less than 75% of any other number. Complete one inequality to support Lillian's
rjkz [21]
She is incorrect cause if we take the number 20 and take 25% of it it equals 5 so now 20 is only 15. They if we take 75% away from 20 is equals 15 so then we only have 5 from 20 left. Therefore she’s incorrect because 75% leaves 5/20 and 25% leaves 15/20. Hope that makes sense.
6 0
3 years ago
HELP ASAP!! What is the average rate of change between x = -3 and x = 4 for the equation y = 8x2?
Llana [10]

Answer:

x=-3\\y=8(-3)^2\\y=8(9)\\y=72

x=4\\y=8(4)^2\\y=8(16)\\y=128

128-72=56

average rate of change is 56

Step-by-step explanation:

Plz let me know if im right

3 0
3 years ago
I need help with these
tia_tia [17]

Answer:

Step-by-step explanation:

5)               -7 (-15w + 21) + 3(18 - 27w)

Step 2:        105w - 81w - 147 + 54

6)      

step 3:       24w - 93

7 0
3 years ago
Please help due asap
Nadusha1986 [10]
Answer:5
Explanation:Pythagorean Theorem
4 0
2 years ago
Identify all solutions for a triangle with A = 38 degrees b = 10, and a= 8. Round to the nearest tenth.
rjkz [21]

Answer:

A = 38°

B = 50.32°

C = 91.68°

a = 8

b = 10

c = 12.77

Step-by-step explanation:

The first thing is to find the angle B, like this:

sin B = b * sin A / a = 10 * sin (38 °) / 8

sin B = 0.77

B = arc sin (0.77)

B = 50.32 °

For angle C, it would be:

C = 180 - 38 - 50.32

C = 91.68 °

Side c, we calculate it like this:

c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)

c = 12.77

5 0
3 years ago
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