Answer:
The cosine of the angle is: negative
The sine of the angle is: positive
Step-by-step explanation:
Answer:
4 different outcomes based on color or 10 based on amount.
Step-by-step explanation:
I don't think it is specific enough for a definite answer.
Answer:
SAS postulate
Step-by-step explanation:
AD (common)
AC = BD (both are diameters)
Angle COD = Ange AOD (vertically opposite angles)
Angle CAD = Angle BAD (angle on the circumference is half the angle at the centre)
Therefore, ABD and DCA are congruent by SAS postulate
Start by finding out how many books per shelf. So divide 48 by 6, which would mean 8 books per shelf.
Multiply this by 12 shelves, which gives you 96 books.
Hope this helps!!
Answer:
x³ - 5x² + 81x - 405 = 0
Step-by-step explanation:
Complex roots occur in conjugate pairs.
Thus given x = - 9i is a root then x = 9i is also a root
The factors are then (x - 5), (x - 9i) and (x + 9i)
The polynomial is the the product of the roots, that is
f(x) = (x - 5)(x - 9i)(x + 9i) ← expand the complex factors
= (x - 5)(x² - 81i²) → note i² = - 1
= (x - 5)(x² + 81) ← distribute
= x³ + 81x - 5x² - 405, thus
x³ - 5x² + 81x - 405 = 0 ← is the polynomial equation
