Answer:
B (√6)/4
Step-by-step explanation:
The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...
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Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.
Answer: If perpendicular lines intersect, then they form right angles.
Step-by-step explanation:
You take the first part, "perpendicular lines intersect", and add the "if" to it. Then, you take the second part, "to form right angles", and add the "then" in front of it to get your answer, "If perpendicular lines intersect, then they form right angles."
Hope it helps! :)
Answer:
a) 52.5 ft. b)40.1ft c)12.5ft d) 72.6
Step-by-step explanation:
a) The height of the lighthouse is 84ft, and the angle of elevation is 58 degrees.
tan58=84/x
find x by dividing 84 by tan58, and you get 52.5ft.
b) do the same thing, except 131 is in the base of the right triangle shape. That being said, do tan17=x/131.
multiply 131 by tan17, and you get x=40.1 feet.
c) This question wants you to find the length of the slide, (basically the hypotenuse).
given the angle to be 46, do sin46=9/x
since sin is opp/hyp
9/sin46= 12.5ft
d) Find the angle of elevation by using inverse tan given the base to be 5, and the height to be 16ft.
tan^-1=(16/5)=theta
x=72.6 hope this helps!
Number 3 is 1/6 to role a 1 on the second roll is 1/36= 1/6 X 1/6
to get 2 on the third role is 1/216 so the probability is 1/216
There are 9 balloons remaining, of which 4 are yellow. therefore the probability that the next balloon is also yellow is 4/9
