Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70 
From there
x * (2x - 4) = 70
- 4x = 70
- 4x - 70 = 0
- 2x - 35 = 0
Now we have a quadratic equation, which is a
+ bx + c = 0, where a
0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D =
- 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are
and
=
= -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
=
= 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
Answer:
(a) Coterminal =495, -225
(b) Coterminal = 135,-585
Step-by-step explanation:
The angles are:
(a) 135° (b) −225°
The coterminal angle of angle x is derived by:

Solving (a): 135°
Substitute 135 for x in 

Split


Solving (b): -225°
Substitute -225 for x in 

Split


Answer:
Each person tipped $4.30.
Step-by-step explanation:
We know that the total bill was $51.60. The three people paid a 25% tip, which was split evenly among them.
Since the tip is 25%, it will be 25% of the total. Hence:

The total tip is $12.9.
And since it was evenly split among three people, each person tipped:

Each person tipped $4.30.
<span>Divide by 3 and get x<1, so the answer is {x | x < 1}
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53. It is a vertical angle with the angles on top. Think: a X formation.