Answer:
216 sq. units
Step-by-step explanation:
From the figure, we can see that only one pair of opposite angles are equal. So, the quadrilateral is a kite.
Formula to find the area of a kite:
Area, A = 
where,
and
are the lengths of the diagonals.
Here,
units.
And,
units.
Therefore, the area A = 
= 
= 216 sq. units which is the required answer.
Answer:
59.15 in^2
Step-by-step explanation:
Using Heron's formula
semiperimeter , s = 1/2 ( 28.8+18+12) = 29.4
Area = sqrt ( 29.4(29.4-28.8)(29.4-18)(29.4-12) ) = 59.15 in^2
Answer:
The frequency of the given sinusoidal graph is 4.
Step-by-step explanation:
The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.
From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to
.
If the complete its one cycle in
, then the number of cycles completed by the graph in the inteval 0 to 2π is



Therefore the frequency of the given sinusoidal graph is 4.
Answer:
Step-by-step explanation:
depreciation for three years = 32000 - 24500 = $ 7500
depreciation per year = 7500/3 = $ 2500
depreciation % = (2500/32000)*100 = 7.81%
Value of truck after n years = 32000 * (7.81%)*n
Answer:
200 kg
Step-by-step explanation:
If w is the amount of water added, then the concentration of the solution is ...
salt/solute = 100(0.30)/(100 +w) = 0.10
30 = 10 +0.10w . . . . . simplify
20 = 0.10w . . . . . . . . subtract 10
20/0.10 = w = 200 . . . . divide by 0.10
200 kg of water must be added to dilute the solution to 10%.