Answer:
c = 12.5
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem (a^2 + b^2 = c^2)
lets say 10 = a and 7.5 = b (this is because they are the legs of the triangle and variables a and b represent the legs of the triangle)
plug into the Pythagorean theorem.
10^2 + 7.5^2 = c^2
simplify (here you just square 10 and 7.5)
100 + 56.25 = c^2
simplify
156.25 = c^2
simplify
(here you get the square root of 156.25 and c^2, the positive square root of 156.25 is 12.5 and the square root of c^2 is c)
12.5 = c
The derivative of 
in the direction of a vector 
is
With 
, we get
and 
,
Then
Answer:
$2,871.00
Step-by-step explanation:
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 1595(1 + (0.08 × 10)) = 2871
A = $2,871.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,595.00 at a rate of 8% per year for 10 years is $2,871.00.
Answer:
The area needed to be painted is approximately 301.44 square inches.
Step-by-step explanation:
The shape of a donut is represented by two concentrical circles, whose area is described by the following formula:
(Eq. 1)
Where:
- Total area of the donut, measured in squared inches.
- Area of the greater circle, measured in square inches.
- Area of the lesser circle, measured in square inches.
By using the definition of the area of the circle, we expand the equation above:
(Eq. 1b)
If we know that 
, 
and 
, the area needed to be painted is:
The area needed to be painted is approximately 301.44 square inches.
1. 5×10×7= 350
2. 12×6×8=576
3. 4.2×3.5×2=29.4
4. 1.1×1.5×2.6=4.29
5.4×3×5= 60
6. 4.1×2.6×5.1=47.97
