(x - 12)(x + 4) = 9
x² + 4x - 12x - 48 = 9
x² - 8x - 48 = 9 |add 48 to both sides
x² - 8x = 57
x² - 2x · 4 = 57 |add 4² to both sides
x² - 2x · 4 + 4² = 57 + 4² |use (a - b)² = a² - 2ab + b²
(x - 4)² = 57 + 16
(x - 4)² = 73 ⇔ x - 4 = √73 or x - 4 = -√73 |add 4 to both sides
x = 4 + √73 or x = 4 - √73
Note that x is measured in radians.
The percent difference or error between sin(x) and tan(x) is calculated as
We want this percent difference to be less than 10.4%.
Because tan(x) > sin(x) for small values of x, define
From the calculator, obtain
sec⁻¹ 1.104 = 0.4375
Answer: x = 0.4375 radians
Answer:
15
Step-by-step explanation:
The statement indicates that Daniel scored 3 points which represents 20% of his average points and from this information, you can use the rule of three to find his average point total which is the 100%:
3 points → 20%
x ← 100%
x= (3*100)/20
x= 15
Daniel's average point total is 15.
3/4 of 16/9 = 12/9
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The measure of the third angle in the triangle is 104 degrees
<h3>How to determine the measure of the third angles?</h3>
Let the three angles in the triangle be x, y and z.
Such that:
x = 51
y = 25
The sum of angles in a triangle is 180 degrees.
So, we have:
x + y + z = 180
Substitute known values
51 + 25 + z = 180
Evaluate the sum
76 + z = 180
Subtract 76 from both sides
z = 104
Hence, the measure of the third angle is 104 degrees
Read more about triangles at:
brainly.com/question/21735282
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