Answer:
Step-by-step explanation:Use the square root on both sides:
x
–
5
=
±
√
3
Add 5 to both sides:
x
=
5
±
√
3
This breaks into two equations:
x
=
5
+
√
3
and
x
=
5
−
√
3
Use the square root on both sides:
x
–
5
=
±
√
3
Add 5 to both sides:
x
=
5
±
√
3
This breaks into two equations:
x
=
5
+
√
3
and
x
=
5
−
√
3
Answer:
They are both correct
Step-by-step explanation:
tan A = opposite / adjacent = 3/4 >>> A= 36.9 deg
tan C = opposite / adjacent = 4/3 >>> C= 53.1 deg
cheak:
<B+ <A + <C = 180 deg
90 + 36.9 + 53.1 = 180
180 = 180
1. given:
csc(x) + sin(x)
2. definition of csc(x) :
1/sin(x) + sin(x)
3. combining fractions with a common denominator:
(1 + sin²(x))/sin(x)
4. expanding 1 = cos²(x) + sin²(x) :
(cos²(x) + sin²(x) + sin²(x))/sin(x)
5. simplifying:
(2 sin²(x) + cos²(x))/sin(x)
6. employing the same identity as in (4) :
(2 (1 - cos²(x)) + cos²(x))/sin(x)
7. expanding 2 (1 - cos²(x)) :
(2 - 2 cos²(x) + cos²(x))/sin(x)
8. simplifying:
(2 - cos²(x))/sin(x)
Answer:
3x + 12 + x = 180
4x +12 = 180
4x = 168
x = 42
(I'm guessing you're in a different timezone than I am because it's already 3:35 here)
Answer:
12x + 2
Step-by-step explanation:
12 is multiplyed by both the x and the (1/6) since it is outside the equation.
so 12 times x = 12x since we dont know what x is
and 12 times (1/6) = (12/6) = 2
