Answer:
I'm sorry I just need points
Step-by-step explanation:
Answer:
300 in³
Step-by-step explanation:
To calculate the volume of a composite solid, simply split it into smaller solids and calculate their separate volumes. The volumes of each of the individual solids are then added together to give the total volume of the composite solid.
Remember, the formula for volume is: l • w • h
12(length) x 5 (width) = 60 x 3(height) = 180 in
5(width) x 8(length) = 40 x 3(height) = 120 in
Now, finally we add up the answers.
180 + 120 = 300 in³
(*Don't forget to cube³ your answer since it's Volume)
Solution:
Coordinates of Point E and F are (-2,4) and (5,10).
Suppose the Point M(x,y), divides the Line Segment Joining E (-2,4) and F (5,10) in the 7:3 ratio.
So, EM: MF= 7:3
Formula for internal Division


So,we get
x= 2.9
and , y= 8.2
We can use the points (7, 4) and (5, 6) to solve.
Slope formula: y2-y1/x2-x1
= 6-4/5-7
= 2/-2
= -1
______
Best of Luck,
Wolfyy :)
Answer:
The total number of ways the person holding ticket 47 wins one of the prizes = 941,094
Step-by-step explanation:
Given - One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti).
To find - How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.
Proof -
The order of selection is important because 1st selection is grand prize , 2nd selection is second prize and so on . So , we use permutation for this question
Now,
As The person holding ticket 47 wins one of the prizes and other 3 prizes are also given to the remaining 99 persons who got chosen
So,
The number of ways = 1* ⁹⁹P₃
= 
= 
= 
= 99*98*97
= 941,094
∴ we get
Total number of ways the person holding ticket 47 wins one of the prizes = 941,094