Let
x--------> <span>the rectangle's length
y-------> </span><span>the rectangle's width
we now that
Area of rectangle=x*y
Area=256 cm</span>²
<span>256=x*y-------> equation 1
y=4x-48------> y=4x-48------> equation 2
substitute equation 2 in equation 1
256=x*[4x-48]-----> 256=4x</span>²-48x
4x²-48x-256=0
<span>
using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=16 cm
y=4x-48----> y=4*16-48-----> y=16 cm
is a square
the answer is</span>
the rectangle's length is 16 cm
<span>In order for you to be able to determine on which is the best effective interest rate, we need to compute each interest and see on how much would it accrue after it matures. The formula to use is the compound interest formula which is A=P(1+r/n)^nt, wherein A is the amount of due including the interest, P as the principal, r as the interest rate, n as the number of times it would be compounded per year and t as the number of years it would be loaned. To reassign the formula with each given interest rate, and assuming that the amount to be loaned would be 1,000 and the number of years it would be loaned will be 5 years, the amount due after 5 years for the 8.254% compounded daily will be 1,510.82, for the 8.474% compounded weekly will be 1,527.03, for the 8.533% compounded monthly will be 1,529.80, for the 8.604% compounded yearly will be 1,510.88. The best effective interest rate offer would be the 8.254% compounded daily.</span><span />
Draw a diagram to illustrate the problem as shown below.
The area of triangle acb is
A₁ = (1/2)*20*h = 10h
The area of trapezoid abcd is
A₂ = (1/2)*(20+12)*h = 16h
The ratio A₁/A₂ is
A₁/A₂ = (10h)/(16) = 5/8
Answer:
The ratio of triangle acb to the area of trapezoid abcd is 5/8.
Answer:
Edg.enuity answers
Step-by-step explanation:
1. Atmosphere- 8.90118
2. Oceans- 2.44346
3. Crust- 4.53786
4. Inner Core- 1.68861
5. Outer Core- 3.20268
6. Mantle- 7.05637