The odds of randomly choosing one of 11 students out of 29 is 11/29 or ~38%
Answer:
I believe this is how you do it
Step-by-step explanation:
csc∅tan∅
(1/sin∅)(sin∅/cos∅)
(sin∅)/(sin∅cos∅)
1/(cos∅)
sec∅
csc²∅tan²∅sin∅
1/(sin²∅) * tan²∅ * sin∅
tan²∅/sin²∅ * sin∅
tan²∅/sin∅
Answer : Michael’s dock would be closer because the angle opposite is smaller
Michael and Jacob are standing on two docks that are 20 miles apart. They are watching a ship that is out in the ocean. The angle between the dock and the line connecting Michael and the ship is 48°, and the angle between the other dock and the line connecting Jacob and the ship is 37°.
Explanation:
the angle between the other dock and the line connecting Jacob and the ship is 37°. The side opposite to angle 37 will be smaller. The distance between Michael and Ship will be smaller than Jacob and ship.
So Michael’s dock would be closer because the angle opposite is smaller.
The equation: y = 2x/3 + 4 is a line with infinite values for x. So unless you have a y-value to plug in to find the corresponding x-value all you can do is write the equation in terms of y.
x = 3(y-4)/2
The slope and intercepts on the other hand can be determined from the given equation. y= mx + b is slope-intercept form of a linear equation. "m" is the slope and "b" is the y-intercept. Plug in y = 0 to find the x-intercept.
9514 1404 393
Answer:
(c) (6x^4 – 4)(36x^8 + 24x^4 + 16)
Step-by-step explanation:
The correct factoring can be found by looking at the first exponent in the second set of parentheses.
The factorization of ...
(a^3 -b^3)
is ...
(a -b)(a^2 +ab +b^2)
__
Here, you have a=6x^4 and b=4, so the first term in the second parentheses is ...
a^2 = (6x^4)^2 = 6^2·x^(4·2) = 36x^8 . . . . matches the 3rd choice