Answer:
12
Step-by-step explanation:
Each shape has a different formula for area. rectangles and parallelograms share the same formula, A=bh
Trapezoids formula is A= 1/2(b1 + b2)h
Triangles formula is A = 1/2bh
In all of these formulas, A means area, and h means the height of the shape. In the formulas for triangles and rectangles/parallelograms, b stands for the length of the base of the shape.
In the trapezoids formula, b1 means base 1 and b2 means base two, as a trapezoid has two different bases.
After finding all of the variables for the formula of the shape you're solving for, plug all the numbers into your missing variables, and solve as normal.
We can see a right triangle in this problem,
where a vertical distance is a leg that opposite to the angle 20⁰ , and horizontal distance is an adjacent leg to the 20⁰ angle.
So,
tan (20⁰) = opposite leg/adjacent leg
tan (20⁰) = vertical distance/horizontal distance
tan (20⁰) = 30 /horizontal distance
horizontal distance= 30/tan(20⁰) ≈ 82.4 in.
The answer is the option d, which is: d)
The explanation for this problem is shown below:
1. Smplify the denominator and rewrite the numerator in this form:
2. Multiply the denominator and the numerator by the conjugated and simplify the expression, as following:
3. As you can see, you obtain the expression shown in the option mentioned above.
The formula to that equation:
A(t)=p *e^rt
P is the principle amount invested 400
R is the rate, 0.09 T is the 3 years.
Solve from there.