The volume of the box is 100 cubic meter.
Step-by step explanation:
Given data:
Length of the box = 10 m
Width of the box = 5 m
Height of the box = 2 m
<u>To find the volume of the box:</u>
Volume of the box = length × width × height
= 10 m × 5 m × 2 m
= 100 cubic meter
Hence the volume of the box is 100 cubic meter.
Answer:
y=
Step-by-step explanation:
x/y=n-9
x= y(n-9)
x= yn-9n
-yn= -x-9n
yn= x+9n
y=
Answer:
a. 5,040 ways
b. 210 ways
Step-by-step explanation:
a) We want to pick 4 numbers out of 10 given that orders matter
If orders do matter, it will be a permutation problem
Mathematically;
n P r = n!/(n-r)!
In this case, n is 10 and r is 4
Thus, we have it that;
10 P 4 = 10!/(10-4)! = 5,040
b) if orders do not matter
It will be a combination problem
n C r = n!/(n-r)!r!
n = 10 and r = 4
10 C 4 = 10! /(10-4)!4!
= 210
Answer:
11/24 is left over
Step-by-step explanation:
1/6 + 3/8 = 13/24
24/24 - 13/24 = 11/24
11/24 of the budget is left over
Hope this helps
Let the side of the garden alone (without walkway) be x.
Then the area of the garden alone is x^2.
The walkway is made up as follows:
1) four rectangles of width 2 feet and length x, and
2) four squares, each of area 2^2 square feet.
The total walkway area is thus x^2 + 4(2^2) + 4(x*2).
We want to find the dimensions of the garden. To do this, we need to find the value of x.
Let's sum up the garden dimensions and the walkway dimensions:
x^2 + 4(2^2) + 4(x*2) = 196 sq ft
x^2 + 16 + 8x = 196 sq ft
x^2 + 8x - 180 = 0
(x-10(x+18) = 0
x=10 or x=-18. We must discard x=-18, since the side length can't be negative. We are left with x = 10 feet.
The garden dimensions are (10 feet)^2, or 100 square feet.
