Answer:
Option B.
Step-by-step explanation:
The given vertices of the polygon are (-6,-2),(-5,1),(-1,4),(1,1),(5,3),(1,-2).
We need to find the area of the polygon.
Plot the given vertices and on a coordinate plane and draw the polygon. Divide the polygon in 4 parts as shown below.
Area of rectangle is
Area of triangle is
Area of each figure is
Area of polygon is
The area of polygon is 34.5 units².
Therefore, the correct option is B.
The gross profit margin is calculated using the following rule:
gross profit margin = total profit / total sales
Now, we need to get the values of total profit and total sale:
total profit = <span>9*8-(40+8)=24$
total sales = 9*8 = 72$
Now, we will substitute in the above equation:
gross profit margin = 24/72 = 1/3 = 0.3333334
% = 0.33333334*100 = 33.3334%</span>
The numbers are 17 and 39
We can use a system of equation to solve this
x=2y+5
x+y=56
Solving...
2y+5+y=56
3y=51
y=17
x=2(17)+5
x=39
Answer:
The set {x | x is an even prime number, x<150} has 1 element.
Step-by-step explanation:
Prime Numbers: The numbers which have no factors other than 1 and the number itself are called prime numbers.
Even Numbers are those numbers which are completely divisible by 2.
So, the only EVEN PRIME NUMBER = 2
Now, Set = {x | x is an even prime number, x<150}
So, the set has {2} as its only element.
Hence, the total elements in the set is 1.
Or, the set {x | x is an even prime number, x<150} has 1 element.