Answer:
144g
Step-by-step explanation:
You know that the bowl itself has a mass of 121g. If you take that number away from the total amount, you will be left with only the mass of the grapes.
265g - 121g = 144g
I hope this helps!
Answer:
77 nickels
106 dimes
Step-by-step explanation:
Let there be n nickes and d dimes
Since there are 183 coins, we can write:
n + d = 183
Also, the value of nickel is 0.05 and dime is 0.1, total value is 14.45, so we can write:
0.05n + 0.1d = 14.45
Solving 1st equation for n, we have:
n = 183 - d
Putting this into 2nd equation and solving for d:
There are 106 dimes
Since, n = 183 - d
n = 183 - 106
n = 77
There are 77 nickels
Answer:
86,164.2 seconds
Step-by-step explanation:
There are 60 seconds in a minute, 60 minutes in an hour. Every hour has 3600 seconds. Multiply that by 23.
23×3600=82,800
multiply 60 by 56 for the seconds in the 56 minutes.
60×56=3360
add 82800+3360+4.2= 86,164.2
Answer:
Step-by-step explanation:
The questions asks for how far down the wall does the ladder move, so to say that in another way, what is the difference between when the ladder is taller up the wall and when it is shorter up the wall.
so figure out what the height of the ladder is up the wall for each of the situations.
1) Taller
we are told the Hyp and the Adj sides of the triangle
so use SOH CAH TOA to remind how trig functions fit on the triangle sin = Opp / Hyp , Cos=Adj / Hyp , Tan = Opp / Adj so
Cos(Ф) = 7 / 25
Ф = arcCos( 7/25)
Ф = 73.739795 °
then use
Sin( 73.739795 ) = Opp / 25
25* Sin( 73.739795 ) = Opp
24 = Opp
2) Shorter
Cos(Ф) = 15 / 25
Ф = arcCos( 15 / 25 )
Ф = 53.13010 °
sin( 53.13010 ) = Opp / 25
25 * sin( 53.13010 ) = Opp
20 = Opp
now you know the two heights up the wall. so subtract the shorter from the taller
24 - 20 = 4
the ladder moves 4 feel down the wall :)
P(club)=13/52=1/4
P(red)=26/52=1/2
P(ace)=4/52=1/13
P=(1/4)(1/2)(1/13)=1/104
