Answer:
5/36
Step-by-step explanation:
There are 5 sums that will give you 8:
2+6, 3+5, 4+4, 5+3, 6+2
There are 36 possible outcomes from rolling 2 dice, so your probability of rolling 8 is ...
5/36
Answer:
![4a^{2} b^{2} c^{3} (\sqrt[3]{b})](https://tex.z-dn.net/?f=4a%5E%7B2%7D%20b%5E%7B2%7D%20c%5E%7B3%7D%20%28%5Csqrt%5B3%5D%7Bb%7D%29)
Step-by-step explanation:
The given expression is :
![\sqrt[3]{(64}a^{6}b^{7} c^{9} )](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%2864%7Da%5E%7B6%7Db%5E%7B7%7D%20c%5E%7B9%7D%20%29)
Writing 64 ,a,b,c as cubes we have:
= ![\sqrt[3]{(}4^{3}( a^{2})^3( b^{2})^3.b( c^{3} )^3)](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28%7D4%5E%7B3%7D%28%20a%5E%7B2%7D%29%5E3%28%20b%5E%7B2%7D%29%5E3.b%28%20c%5E%7B3%7D%20%29%5E3%29)
Using radical rule we have :
=.
The second option is the right answer.
I assume you're allowed to use sin and cos laws here, this is a trigonometry class, yes? Here we have an angle of a right triangle, and the side adjacent to it, and we need to find the hypotenuse. Since cos = adj/hyp, it's the proper one to use here:
Evaluate it with a calculator to get x = 12.04 units. Make sense?
Answer:
5 verticles
Step-by-step explanation:
Answer:the distance between the two cities is 100 miles
Step-by-step explanation:
Let x represent the distance between New York and Philadelphia.
Let t represent the time it takes to travel from New York to Philadelphia at 50 mph
Distance speed × time
time = distance/speed
To travel from New York to Philadelphia at 50 mph,
x = 50t
it takes 20 more minutes than to travel the same distance at 60 mph. Converting 20 minutes to hours, it becomes 20/60 = 1/3 hours. This means that
x = 60(t - 1/3) = 60t - 20
Since the distance is the same,
60t - 20 = 50t.
60t - 50t = 20
10t = 20
t = 20/10 = 2
Therefore
x = 50t = 50 × 2 = 100 miles
