Answer:
2√3
Step-by-step explanation:
You recognize this as a 30°-60°-90° triangle, so you know the hypotenuse (R) is twice the length of the shortest side (√3).
The magnitude of R is 2√3.
_____
In case you haven't memorized the ratios for a 30°-60°-90° triangle, you can use trigonometry and the fact that ...
Sin = Opposite/Hypotenuse
sin(30°) = √3/R
R = √3/sin(30°) = √3/(1/2) = 2√3
Of course, doing this on your calculator will give a numerical answer, which you may not want.
Answer:
The last option
Step-by-step explanation:
arc DA is larger than a semicircle so the first answer is not correct
arc BOC is also larger than a semicircle so the second answer is not correct
arc DAC is also larger than a semicircle so the third answer is not correct
all arcs in the last options are shorter than the semicircle so the last option is correct
Answer:
Given the expression -3 - 4(2x- 3) the correct solution is -8x + 9.
Step-by-step explanation:
Andy wrote -14x + 21, so his error was to do de substraction (-3 -4) and then distribute -7(2x-3) = -14x+ 21.
Sylvie wrote -8x -6. Her error was to multiplied -4 only for 2x,
then -3 - 4(2x -3) = -3 -8x -3 = -8x -6.
(A) You can choose 1 from 16 in 16 ways.
(B) You can choose 1 from 16 in 16 ways.
(C) You can choose 2 from 5 in 5!/(2!*(5-2)!) = (5*4)/(2*1) = 10 ways.