Answer:
The area of the triangle is 
Step-by-step explanation:
Given:
Coordinates D (0, 0), E (1, 1)
Angle ∠DEF = 60°
△DEF is a Right triangle
To Find:
The area of the triangle
Solution:
The area of the triangle is = 
Here the base is Distance between D and E
calculation the distance using the distance formula, we get
DE = 
DE =
DE = 
DE = 
Base = 
Height is DF
DF =
DF = 
DF = 
Now, the area of the triangle is
= 
=
=
=
Answer:
8
Step-by-step explanation:
2^(0.5+3) = 2^3.5 = 8√2
Answer:
The third option is correct.
The domain of the function is given by

The range of the function is given by

Step-by-step explanation:
Sara bought a cell phone for $200 and its value has decreased at rate of $5 per month.
V(t) is the value of the phone and t is the number of months.
The domain of the function is the possible values of the number of months t.
The domain of the function is given by

The range of the function is the values of V(t) that we get after substituting the possible values of the number of months t.
The range of the function is given by

When the number of months is t = 0 then the value of the function is maximum V(t) = 200
When the number of months is t = 40 then the value of the function is minimum V(t) = 0
Therefore, the third option is correct.
Step-by-step explanation:
For the triangle on the bottom right the missing angle is
180- (74+50)= 56°
For the triangle on the bottom left the missing angle is
180- (45+80)= 55°
For the triangle in the middle the missing angle is
180- (54+51)= 75°
For the triangle on top the missing angle is
180- (80+54)= 46°
180- (74+51)= 55°
180- (46+55)= 79°
Answer:
y=58x+460
Step-by-step explanation:
y=mx+b
We are given m=58 so we have
y=58x+b
We are given (-8,-4) is a point on the line.
-4=58(-8)+b
-4=-464+b
460=b
So the line in slope intercept form is y=58x+460