Answer:
a = 
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
a² + 9² = 12²
a² + 81 = 144 ( subtract 81 from both sides )
a² = 63 ( take square root of both sides )
a =
Answer:
$3,722.875
Step-by-step explanation:
It was stated that the $61,500 would be payed to Tim annually, therefore before we can calculate the deductions we would first have to divide the annual pay by 12 (months in a year). You would then find that Tim receives $5,125 each month. The total value of the deductions would be 21.7% ( 6.2 + 1.5 + 3 + 11 = 21.7). 21.7% of 5,125 is 1,112.125 therefore, we would subtract this value and the value for the insurance from his monthly pay to find his net paycheck per month [5,125 - (1,112.125 + 290) = $3,722.875]
Answer:
B is 45 A is 135
Step-by-step explanation:
45 + 135 = 180
45 x 3 = 135
135 is three times as large as 45
135 and 45 are supplementary angles
Answer:
84 cm²
Step-by-step explanation:
Surface area of the polyhedron = the sum of the areas of each parts of the net = area of 2 triangles + area of each of the 3 rectangles
Area of 2 triangles:
Base = 4 cm
Height = 3 cm
Area of the 2 triangles = 2(½*base*height)
= 2(½*4*3) = 4*3 = 12 cm²
Area of rectangle with the following dimensions:
Length = 6 cm
Width = 4 cm
Area = length * width = 24 cm²
Area of rectangle with the following dimensions:
Length = 6 cm
Width = 5 cm
Area = length * width = 30 cm²
Area of rectangle with the following dimensions:
Length = 6 cm
Width = 3 cm
Area = length * width = 18 cm²
Surface area of the polyhedron = 12 + 24 + 30 + 18 = 84 cm²
X - 4y = 28
2x + y = 2
solve for x
y= -2x + 2
y= x/4 - 7
solve for system of equations
(4,-6)
x= 4, y= -6
