The equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
<h3>How to determine the legs of the triangle?</h3>
The complete question is in the attached image
The given parameters are:
Area = 24
Legs = x and x + 2
The area of the triangle is calculated as:
Area = 0.5 * Base * Height
This gives
0.5 * x * (x + 2) = 24
So, we have:
0.5(x)(x + 2) = 24
Divide through by 0.5
(x)(x + 2) = 48
Expand
x^2 + 2x = 48
Subtract 48 from both side
x^2 + 2x - 48 = 0
Hence, the equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
Read more about area at:
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Answer:
The interest rate per year is 0.1
Step-by-step explanation:
The equation is A = P(1+rt)
Substitute the numbers
3500 = 2500 (1+4r)
solve for r:
Multiply 75 by 1.0675 to find the total amount of tax plus 100 percent of the original fee im pretty sure and for the seocnd one multiply 450 by 1.45
Answer:
54 feet
Step-by-step explanation:
We can use proportions
1 inch 27 inches
--------- = ------------
2 feet x feet
Using cross products
1x = 54
The building is 54 feet
Answer:
(f- g)(x) = x - 3
Step-by-step explanation:
(f- g)(x) = f(x) - g(x)
This means that you have to subtract the two equation.
If f(x) = 3x - 2 and g(x) = 2x + 1
Then
f(x) - g(x) = [3x - 2] - [2x+1]
= 3x - 2- 2x - 1
= x - 3
∴ (f- g)(x) = x - 3
