P (two tails) = (1/3) (1/3) = 1/9
By the intersecting chords theorem,
8*9 = x *2x ......simplify
72 = 2x^2 divide both sides by 2
36 = x^2 take the positive square root
6 = x
Applying the theorem again, we have
4 * y = x *2x
4 * y = 6 * 2(6)
4 * y = 72 divide both sides by 4
y = 18
2+3(5+2)^3 simplify inside the parentheses
2 + 3 (7)^3 evaluate the exponent
2 + 3(343) perform the multiplication
2 + 1029
1031
((1-sin)/(cos)*(sin/cos))/(1/cos)=
[ (1/cos - tan) * (tan)] * [cos] =
[sin / cos^2 - sin^2/cos^2 ] * [cos] =
(sin/cos - sin^2/cos] =
tan - tan*sin =
tan (1 - sin)
To travel a given distance, the rate is inversely proportional to the time required. Tom noted that if he drove home at 100 kph, the trip would take 5 hours. How many hours would it take him to drive home if he drove at 125 kph? Do not use units in your answer.
R = k (1/T) where k is the proportionality constant.....we need to find this
100 = k (1/5) multiply both sides by 5
500 = k
At 125mph, we have
125 = 500(1/T) multiply both sides by T, divide both sides by 125
T = 500/125 = 4
"B" iis the correct choice for Step 3 of the proof
7+(-2)*3^2 = evaluate the exponent first
7 + (-2)*9 = perform the multiplication next
7 + (-18) =
-11
Hit the "2nd" button and find the "asin" key.....this is the inverse sine function......
2x + 3 = 15 subtract 3 from both sides
2x = 12 divide both sides by 2
x = 6
See if this helps, Max : http://tutorial.math.lamar.edu/Classes/DE/Laplace_Table.aspx
