Answer:
0.533
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
Let us first derive an equation for the productivity.
Given
No. of houses = 1 (Assumption)
Amount of Chemicals = 30 (10 x A, B, C)
Now the formula for productivity is as follow
Productivity % (P) = (Output/Input) * 100
Assuming the current productivity is 100%. We get the value for required output but using the value of 30 (Amount of Chemicals) as Input
Since we now know the value for desired output. We replace the value of input by 40, since 10 lbs of Chemicals have been increased per house.
The new Productivity is 75%
There is a reduction of 25% in productivity
Answer:
the answer is "d" because the x region is negative 2 and the y region is a positive1
Answer:
-8/9 or -0.8 repeating
Step-by-step explanation:
Answer: Area of Δ DUO = 12.0 square units.
Step-by-step explanation:
From the diagram, Δ DPA is a right angled triangle and right angled at P.
Therefore ∠D will be
Tan ∅° = PA/DP ie, opposite side all over the adjacent.
= 4.5/3.75
Tan∅° = 1.2
to calculate ∅°, we know find the inverse of Tan 1.2
∅ = Tan^-1 1 .2 from your log tables or calculator
∅° = 50.20°.
= 50°
Since line DR is ⊥ to line OP
∠ADR = 90° - 50°
= 40°.
From the diagram,
∠ADR = ∠UDR = 40°
Therefore,
∠ODU = 180 - ( 40 + 40 + 90 ) { Angle on a straight line }
= 180 - 170
= 10°
From Δ UDM , line MU is he height of the required Δ DUO whose area is to be determined.
Now find the height MU
Tan10.0° = MU/10, where MU is the opposite side and 10.0 is the adjacent from the diagram given.
MU = Tan10.0 x 10.0
= 0.1763 x 10.0
= 1.763
Therefore to calculate the area of Δ DUO
= 1/2 x base x height
= 1/2 x line OD x line MU
= 1/2 x 14.0 x 1.763
= 7 x 1.763
= 12.341
= 12.0 square units.
=
