The surface area of the exhibit is 1,638 cubic inches.
Step-by-step explanation:
Step 1:
If three prisms are out on top of each other we get a shape as follows;
The length of the base 
inches,
The width of the base 
inches, and
The height of the exhibit 
inches.
To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.
Step 2:
There are 6 faces to the exhibit.
The surface area of a rectangular prism is given by;
By substituting the values, we get
The surface area of the exhibit is 1,638 cubic inches.
I divided 50 miles by 2 = 25 miles (walked) 25 miles (horseback)
I divided 25 by 3 = 8.33
I divided 25 by 9 = 3
Added together = 8.33 + 3 = 11.33
So time to complete the journey 11.33 hour
Looks like you've got 3 lines that are all parallel with one transversal diagonally running down the middle.
Since all of the other lines are parallel to one another, there are only two different angle combinations to be made by the transversal and one of the other lines, one of which being the given 60º angle.
The other one is found by subtracting that from 180 since a straight angle measures 180º.
180 - 60 = 120
The smaller ones are always 60º, and the larger ones are always 120º.
That means that a = 60, b = 60, and d = 60
It also means that c = 120 and e = 120.
Hope this helps!
The horizontal component is:
17.1cos45.6≈11.96 so
vx=12.0 ft/sec (to nearest tenth ft/s)
Answer:
1/30
Step-by-step explanation:
6 white marbles
5 red marbles
+ 19 marbles of other colors
-----------------------------------------------
30 marbles in total
First drawing:
p(white) = (number of white marbles)/(total number of marbles)
p(white) = 6/30 = 1/5
Second drawing:
Since the first marble is replaced, there are still 30 marbles in the bag.
p(red) = (number of red marbles)/(total number of marbles)
p(red) = 5/30 = 1/6
The two drawings are independent events, so the overall probability of the two events is the product of the individual probabilities.
p(white then red) = p(white) × p(red)
p(white then red) = 1/5 × 1/6
p(white then red) = 1/30
