Answer:
(2, 120° )
Step-by-step explanation:
To convert from rectangular to polar form, that is
(x, y) → (r, Θ ), use
r = 
Θ = 
( 
)
here (x, y ) = (- 1, 
)
r = 
)^2
= 
= 
= 2
Θ = () = 60° ← related acute angle
Note (- 1, ) is in the second quadrant so Θ must be in the second quadrant.
Θ = 180° - 60° = 120°
(- 1, ) → (2, 120°)
<u>Given</u>:
The given triangle has three equal sides. Thus, the given triangle is an equilateral triangle.
The measure of one angle is (4x - 20)°
Since, it is an equilateral triangle, then all the three sides will be equal.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the triangle sum property.
Thus, we have;
Simplifying, we have;
Adding the like terms, we have;
Thus, the value of x is 20
Answer:
8(4+2)
Step-by-step explanation:
Hi there! We know that 32+16=48 so all we have to do is find a expression that equals 48. 8(4+2)=48. 8(24+8)=256. 7(4+2)=42. 7(24+8)=224. Therefore, the expression that is equivalent to 32+16 is 8(4+2).
Answer:
Y= X - 31.5
Step-by-step explanation:
find the gradient then the equation
------------------------------------
Original Number
------------------------------------
3000
------------------------------------
Increase
------------------------------------
5.4% of 3000
= 0.054 x 3000
= 162
------------------------------------
New Total
------------------------------------
3000 + 162 = 3162
------------------------------------
Answer: 3162
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