Try this solution (this is not the only way!):
Q1: if cosx=-0.5 and x∈(90;180), it means x=120°.
So, sin(x-30)=sin(120-30)=sin90°=1.
<u>answer</u>: 1.
Q2: it tgx= -1/√3 and x∈(270°;360°), it means x=330°.
So, sin(x+30)=sin(330+30)=sin360°=0.
<u>answer</u>: 0.
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
Answer:
78
Step-by-step explanation:
102+x=180
x=180-102
x=78
Answer:
<u>The correct answer is A. x = 6 + 3 √10</u>
Step-by-step explanation:
Let's solve for x:
x² - 12x + 36 = 90
Factoring this quadratic equation, we have:
(x - 6) (x - 6) = 90
(x - 6)² = 90
x - 6 = √90 (Square root to both sides of the equation)
x = 6 + √90 (Adding 6 to both sides of the equation)
x = 6 + √9 * 10
x = 6 + √3² * 10
x = 6 + 3 √10
<u>The correct answer is A. x = 6 + 3 √10</u>