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:

Step-by-step explanation:
1) Expand by distributing terms.

2) Collect like terms.

3) Simplify.

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Answer:
y =
x
Step-by-step explanation:
slope-intercept form: y = mx + b
Given: slope(m) =
, point (4, -3)
We already have the value of m, but we need to find the value of b. To do this, input the given values of the slope and the point into the equation:
-3 =
(4) + b
Solve for b:
-3 =
(4) + b
-3 = -3 + b
0 = b
The value of b is zero. We can now write the equation:
y =
x + 0
y =
x
The equation written in slope-intercept form is: y =
x
Ratio and proportion
convert to inproper fracton first
1 and 1/2=1+1/2=2/2+1/2=3/2
3 and 1/2=3+1/2=6/2+1/2=7/2
3/2dozen=7/2cups
times 2 both sides
3dozen=7cups
divide by 3 both sides
1dozen=7/3cups=2 and 1/3 cup