Answer:
9= 71.67°
10= 60.65°
11= 86.59°
12= 62.30°
13= 34.51°
14= 51.71°
15= 22.87°
16= 44.63°
Step-by-step explanation:
The law of sine requires that if we have three sides of length A, B and C with their respective angles as a, b and c then these can be related by
9.
Making x the subject of the formula then
10.
Making x the subject of the formula then
11.
Making x the subject of the formula then
12.
Making x the subject of the formula then
13.
Making x the subject of the formula then
14.
Making x the subject of the formula then
15.
Making x the subject of the formula then
16.
Making x the subject of the formula then
Answer:
x = -6√3 or 4√3
Step-by-step explanation:
x² + 2√3 x − 72 = 0
Solve with quadratic formula, or completing the square.
To use completing the square, we first add 72 to both sides:
x² + 2√3 x = 72
Take half of 2√3, square it, then add to both sides.
x² + 2√3 + 3 = 75
Factor the perfect square:
(x + √3)² = 75
Solve for x:
x + √3 = ±√75
x + √3 = ±5√3
x = -√3 ± 5√3
x = -6√3 or 4√3
According to Vieta formula, the sum of the roots should equal b/a, and the product of the roots should equal c/a.
-6√3 + 4√3 = 2√3
-6√3 × 4√3 = -72
Answer:
7 cm squared
Step-by-step explanation:
not sure if its right but thats what i got round up to
Answer:85
Step-by-step explanation:
This looks like "half" a property. I'm assuming you mean something that looks like this:
IF a + b = a + c, THEN b = c. In the expression in your problem, the role of a is being played by 7. The role of b is played by (4 + 6), and the role of c is played by n.
The conclusion would be that 4 + 6 = n.
But you asked about what the property is called. The likely name is the subtraction property of equality. How did we go from a + b = a + c to the conclusion b = c? We subtracted a from both sides of the equation.