Answer:
135° and 225°
Step-by-step explanation:
basically you want to find the value of x between 0 and 360 in this equation
cos x/2 = -(√2)/2
assume x/2 as n, so
cos n = -(√2)/2
n = 45°
then remember the quadrant system
0-90 1st quadrant, all is POSITIVE
90-180 2nd quadrant, only SIN has positive value
180 - 270 3rd quadrant, only TAN has positive value
270 -360 4th quadrant, only COS positive here.
so if you try to find negative value look into 2nd and 3rd quadrant that related 45° to x-axis (0°or 180°)
so the value of x is
180 - 45 = 135° (2nd quadrant) and
180 + 45° = 225° (3rd quadrant)
Answer:
Step-by-step explanation:
a
sum of angles of a quadrilateral=360°
4x+5x+20+5x-10+3x+10=360
17x=360-20
17x=340
x=340/17
x=20
b.
sum of angles= (n-2)×180
where n is the number of sides.
5x+4x+2+5x+6+2x-2+3x+5+x-10=(6-2)×180
20x+1=720
20x=719
x=35.95
Answer:
Step-by-step explanation:
1) Remove parentheses.
2) Regroup terms.
Answer: x log[5] = log[125]
Explanation:
The original expression is 125 = 5^x
To express that as a logarithmic equation take logarithms on both sides:
log [125] = [log 5^x]
By the properties of the logartims of powers that is:
log [125] = x log[5]
And that is the equation required.
If you want to solve it, you can do 125 = 5^2, and apply the same property (logarithm of a power) to the left side, yielding to:
log [5^2 ]= x log[5]
=> 2 log[5] = x log[5]
=> 2 = x
