This is a 30-60-90 triangle. The short leg is given to us as 5
The long leg is equal to sqrt(3) times the short leg
long leg = sqrt(3)*(short leg)
long leg = sqrt(3)*5
long leg = 5*sqrt(3)
The base is 5. The height is 5*sqrt(3)
b = 5
h = 5*sqrt(3)
Use this to find the area
A = b*h/2
A = 5*5*sqrt(3)/2
A = 25*sqrt(3)/2
which is the exact area in terms of a radical
You can write it out as
Answer:
w = -3
Step-by-step explanation:
-4w - 4 = 8
Combine the constants by adding 4 to both sides.
-4w = 12
Isolate w by dividing by -4.
w = -3
Check your work by plugging w = -3 into the original equation.
-4(-3) - 4 = 8
12 - 4 = 8
8 = 8
Your answer is correct.
Answer:
x = ± 8
Step-by-step explanation:
Given
4x² - 256 = 0 ( add 256 to both sides )
4x² = 256 ( divide both sides by 4 )
x² = 64 ( take the square root of both sides )
x = ±
= ± 8
Solutions are x = - 8, x = 8
Answer:
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