Answer:
$1,660
Step-by-step explanation:
first add the percents
35+10+15=60% of her income
4,150 x .6 =2,490
subtract the 60% from her income
4,150-2,490=$1,660
Answer: Group A :
Shape #1 : Rhombus
Shape #2 : Two parallelograms/ Two rectangles
Shape #3 : Parallelogram with opposite longer sides equal to 8, and the opposite shorter sides equal to 4.
Shape #4 : Parallelogram with opposite longer sides equal to 3, and the opposite shorter side equal to 2.
Group B :
Shape #1 : Rectangle with opposite longer sides equal to 7, and the opposite shorter sides equal to 4.
Shape #2 : Square with equal sides of 3 units.
Shape #3 : Square with equal sides of 3 units.
Shape #4 : Right-angled trapezium
Step-by-step explanation:
The given question seem incomplete
Rewrite the expression as a simplified expression containing one term
cos (α + β)cos(β) + sin( α + β)sin(β)
Answer:
The simplified form of the given expression is cos(α)
Step-by-step explanation:
We are given the expression
cos (alpha + beta)cos(beta) + sin( alpha + beta)sin(beta)
we will proceed by expanding the given expression as
(cos(alpha)cos(beta) - sin(alpha)sin(beta))cos(beta) + (sin(alpha)cos(beta)+cos(alpha)sin(beta))sin(beta)
cos(alpha)cos^2(beta) -sin(alpha)sin(beta)cos(beta) + sin(alpha)cos(beta)sin(beta) + cos(alpha)sin^2(beta)
The two middle terms will cancel each other so we are left with
cos(alpha)cos^2(beta) + cos(alpha)sin^2(beta)
cos(alpha)[cos^2(beta) + sin^2(beta)]
cos(alpha) (1) = cos(alpha) [cos^2(beta) + sin^2(beta) = 1]
Therefore the simplified form of the given expression is cos(α)
Answer:
$360.67
Step-by-step explanation:
$452.82+$120.75 =
$546.57
$546.57-$185.90 =
$360.67