Answer:
Step-by-step explanation: Area of triangle is base x height divided by 2. So do 8 + 8 to get the base which is 16m. 16 x 8 = 128/2 = 64 m^2
Area of a 1/4 circle is PI Radius ^2 then divided by 4. So 
*8^2 = 201.06/4 = 50.265 m^2
So to get the area of the entire figure you need to find the perimeter of the figure. So you should use the perimeter formula for each shape and then add all your perimeters of each shape. 1/4 Circle perimeter formula is C=2πr/4 . Perimeter of a square is P = 4a. Perimeter of a triangle is P =
a + b + c . Circle solving 50.27/4 = 12.5675 m^2. Triangle solving 8 + 8 + 16 = 32 m ^2 . Square solving 4 x 8 = 32 m ^ 2 .
This was so confusing and I dont know if this helps or not but I tried my hardest!
Answer: 6(a-1)^2
Step-by-step explanation:
6a^2-12a+6
6(a^2-2a+1)
6(a-1)^2
<em>5.</em> Input 5 where the x's, 3 = 2(5) - 7 is a true statement. 10 - 7 = 3
3 < 10 - 9 is a false statement, 3 > 1 is a true statement
2 is less than or equal to 11, is a false statement (2 is less than 11, but not equal to)
18 = 30 -12 is a true statement 30 - 12 = 18, 18=18
3= 2 + 5 is a false statement, 3 is not equal to 7
<em>6. </em>7 is less than or equal to 5(4) -16, 20 - 16 = 4, 7 is not less than or equal to 4. Therefore, 4 is not a solution.
<em>7. </em>9(5) - 3 < 60, 45-3 < 60, 42 < 60, 42 is less than 60, so the equation is true.
9(6) - 3 < 60, 54 - 3 < 60, 51 < 60, 51 is less than 60, so the equation is true.
6(7) - 3 < 60, 63 -3 < 60, 60 < 60, 60 is equal to 60, the equation is false.
Answer: The solution set of the system of inequalities is the region above the dashed line (y=-2x-2) and below the solid line (y=x+4).
Please, see the attached graph.
Thanks.
The first thing we must do for this case is to define a variable:
x: number of years
y: total salary
We have then:
For first company:
y = 1500x + 31000
For second company:
y = 2000x + 28500
Equaling both equations we have:
1500x + 31000 = 2000x + 28500
Clearing x:
2000x - 1500x = 31000 - 28500
500x = 2500
x = 2500/500
x = 5
Answer:
It will take for the salaries to be the same about:
x = 5 years
