Answer: The correct answer is option C; 90√2
Step-by-step explanation: The line segments are labelled as base 1, base 2 and base 3 respectively. This we shall call point 1, point 2 and point 3. These three points form a right angle. Also we have been told that Marcus is on point 3 and Jean is on point 2. They are both 90 feet apart. Also Joel is on point 1 and he is 90 feet away from Jean. The unmeasured distance therefore is from point 1 to point 3, which is the distance from Joel to Marcus (or Marcus to Joel).
The distance from point 1 to point 3 is the hypotenuse of the right angled triangle derived. Using the Pythagoras' theorem, the distance from Joel to Marcus (or JM) is calculated as follows;
JM² = JC² + JL²
Where JM is the distance between Joel and Marcus (hypotenuse), JC is the distance from Jean to Marcus and JL is the distance from Jean to Joel.
JM² = 90² + 90²
JM² = 8100 + 8100
JM² = 16200
Add the square root sign to both sides of the equation
√JM = √16200
JM = √100*√81*√2
The right hand side of the equation can be further solved as
JM = 10*9*√2
JM = 90√2
Therefore the distance between Marcus and Joel is calculated as 90√2 feet
The simplest form of 75/100 is 3/4
Answer:
(100 + x) x (150 + x) = 18,000 ft^2
Step-by-step explanation:
area of a rectangle = length x width
Area of the original field = 15,000
Area after 20% increase = 1.2 x 15,000 = 18,000
Increase i length = 100 + x
increase i width = 150 + x
Area = (100 + x) x (150 + x) = 18,000 ft^2
15 and 2/3 for mixed number and improper is 94/6
