Answer:
I. Base area = 35 cm²
II. Volume of rectangular prism = 350 cm³
Step-by-step explanation:
Given the following data;
Length = 7cm
Breadth = 5cm
Height = 10cm
a. To find the base area of the rectangular prism;
Base area = length * breadth
Base area = 7 * 5
Base area = 35 cm²
b. To find how much it takes to fill the rectangular prism, we would need to determine its volume.
Volume of rectangular prism = length * breadth * height
Volume of rectangular prism = 7 * 5 * 10
Volume of rectangular prism = 350 cm³
c. To find the answers to the other part of the question, we would determine the capacity of the prism in litres.
Capacity = volume in cm³ to litres
1 centimeter = 0.001 litres
Capacity = 350 * 0.001
Capacity = 0.35 litres.
It is B. Nikita used the wrong measurements when finding the area of the base. Please give a like. I Promise this is correct and if its not you can yell at me and all that! :)
Answer:
1. x=10,-10
2. x = 5
x = -5
3. x=-5
4. x ∈ {4,- 3/2}
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Answer:
There are 364 ways of filling the offices.
Step-by-step explanation:
In this case, the order of filling of the offices does not matter, so, we can figure out the different ways of filling the offices by using the combination formula:
![C^{n} _{r}=\frac{n!}{(n-r)!r!}](https://tex.z-dn.net/?f=C%5E%7Bn%7D%20_%7Br%7D%3D%5Cfrac%7Bn%21%7D%7B%28n-r%29%21r%21%7D)
where n=14 (number of members)
r=3 number of offices
n!=n·(n-1)·(n-2)·...·3·2·1
![C^{14} _{3}=\frac{14!}{(14-3)!3!}=\frac{14*13*12*11*10*9*8*7*6*5*4*3*2*1}{(11*10*9*8*7*6*5*4*3*2*1)*(3*2*1)}=\frac{14*13*12}{3*2*1} =364](https://tex.z-dn.net/?f=C%5E%7B14%7D%20_%7B3%7D%3D%5Cfrac%7B14%21%7D%7B%2814-3%29%213%21%7D%3D%5Cfrac%7B14%2A13%2A12%2A11%2A10%2A9%2A8%2A7%2A6%2A5%2A4%2A3%2A2%2A1%7D%7B%2811%2A10%2A9%2A8%2A7%2A6%2A5%2A4%2A3%2A2%2A1%29%2A%283%2A2%2A1%29%7D%3D%5Cfrac%7B14%2A13%2A12%7D%7B3%2A2%2A1%7D%20%3D364)