Answer:

Step-by-step explanation:
Given

--- first discount
--- second discount

Required
Determine the amount paid
First, we add the total discount:



If she got a discount of 40%, then she paid 60% (i.e. 100% - 40%)
So:


Calculate the sales tax




Move constant to other side
add 1
4c^2-8c=1
divide by 4 to make leading coeficient 1
c^2-2c=1/4
take 1/2 of linear coeficient and square it
-2/2=-1, (-1)^2=1
add that to both sides
c^2-2c+1=1/4+1
factor perfect squaer and add
(c-1)^2=5/4
square root both sides
c-1=+/-(√5)/2
add 1
c=1+/-(√5)/2
c=2.12 or -0.12
The distance between point on the ground from the top of the building is 396 meter, if the building is 280 m high and The angle of depression from the top of a building to a point on the ground is 45 degrees.
Step-by-step explanation:
The given is,
The angle of depression from the top of a building to a point on the ground is 45 degrees.
Height of the building is 280 meter.
Step: 1
Given diagram is a right angled diagram,
For right angle triangle,
90° = 45° + 45°
= 90°
Trignometric ratio,
sin ∅ =
....................(1)
For the above ratio take the bottom angle, that is angle of depression from the top of a building to a point on the ground is 45 degrees.
Where, Opp side = 280 meters
Hyp side = x
∅ = 45°
Equation (1) becomes,
sin 45° = 
0.70710678 = 
x = 
x = 395.979
Distance between point on the ground from the top of the building, x ≅ 396 meter
Trignometric ratio,
cos ∅ =
Cos 45 =
Adj = (0.70710678)(396)
Bottom length, Adj = 280 meter
Result:
The distance between point on the ground from the top of the building is 396 meter.
Answer:
They are congruent by SAS (Side Angle SIde) test or congruence criterion
Since,
In triangle ABD and triangle BCD
AB = BC (Given)
BD = DB(Common Side)
Angle ABD = Angle CBD
Therefore triangle ABD and triangle BCD by SAS (Side Angle SIde) test or congruence criterion
Answer:
Building linear equations for f and g, it is found that the y-intercept of (f - g)(x) is of y = 8.------------A linear function has the following format:[tex]y ...
Step-by-step explanation:Use the two points to compute the slope, m, then use one of the points in the form y=m(x)+b to find the value of b.