To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:

"d" represents the distance and coordinates are expressed as follows: (x, y)
Let's go to the calculations.
The answer is 10 uc.
Area of triangle = 1/2 (base) (height)
base = 20.3 cm and height = 6.2 cm
Plug in
A = 1/2 (20.3)(6.2)
A = 62.93
Answer
62.93 cm^2
Circumference, C is 31.42 units and Area, A is 78.55 sq. units
Step-by-step explanation:
- Step 1: Find C when π = 3.142 and r = 5
C = 2πr = 2 × 3.142 × 5
= 31.42 units
- Step 2: Find A when π = 3.142 and r = 5
A = πr² = 3.142 × 5² = 3.142 × 25
= 78.55 sq. units
Answer:
The area of the rectangle is increasing at a rate of
.
Step-by-step explanation:
Given : The width of a rectangle is increasing at a rate of 2 cm/ sec. While the length increases at 3 cm/sec.
To find : At what rate is the area increasing when w = 4 cm and I = 5 cm?
Solution :
The area of the rectangle with length 'l' and width 'w' is given by 
Derivative w.r.t 't',

Now, we have given




Substitute all the values,



Therefore, the area of the rectangle is increasing at a rate of
.
if given log(a)=b, where no base is stated, we assume base 10, or 
also,
translates to/can be written equivilently as 
therefore, given
where we want to find ?
assume base 10 and translate

since we cannot raise a positive number to any real power and give a negative number, ? is not a real number and therefore, there are no real solutions
if we do want to find a solution, we can use Euler's idendity
where i is the complex number i=√-1 and e is euler's number
we can try to change bases to find the value of ?


so

taking ln of both sides

using log rules


divie both side by ln(10)

in a+bi form

there are no real numbers that it evaluates to
however, it does evaluate to a complex number which is
or aproximately 1.11394+1.36438i