Question:
Convert the angle θ=260° to radians.
Express your answer exactly.
θ = ___ radians
Answer:
260° = 13π/9 or 4.54 rad
Step-by-step explanation:
Given
θ=260°
Required
Convert from degree to radians
To convert an angle in degrees to radians, we simply follow the steps below.
1° = 1 * π/180 rad
Replace the 1° with x
So,
x° = x * π/180 rad.
Now, we assume that x = 260
This means that we substitute 260 for x. This gives
260° = 260 * π/180
260° = 260π/180
Divide numerator and denominator by 20
260° = 13π/9
We can leave the answer in this form or solve further.
Take π as 22/7. This gives
260° = 13/9 * 22/7
260° = 286/63
260° = 4.5396825397
260° = 4.54 rad (Approximated)
The answer to this one would be B
X is 7 more than y
x>y then
difference betwen squares is 161 so
x=7+y
and
x²-y²=161
so
x=7+y
sub that for x in other equation
(7+y)²-y²=161
y²+14y+49-y²=161
14y+49=161
minus 49 both sides
14y=112
divide both sides by 14
y=8
sub back
x=7+y
x=7+8
x=15
the numbers are 15 and 8
If you are evaluating the answer is -41
The left side can be written as a square. We can take the square root, then subtract 1.
... (x +1)² = 17
... x +1 = ±√17
... x = -1 ±√17
