Answer:
49 cm²
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ← s is the length of the side, thus
s³ = 343 ( take the cube root of both sides )
s =
= 7, thus
area of base = s² = 7² = 49 cm²
Answer:
The COP is 0.5
Step-by-step explanation:
First we must find the slopes.
12.50/25 = 0.5
17.50/35 = 0.5
The COP is 0.5
Answer:
{ x | x < 2 or x > 8}
Step-by-step explanation:
Given the expression
(x + 3 < 5) U (x - 7 > 1).
Solve x+3 < 5
Subtract 3 from both sides
x+3 - 3 < 5-3
x < 2
For x - 7 > 1
Add 7 to both sides
x-7+7 > 1 + 7
x > 8
Hence the union of both is { x | x < 2 or x > 8}
There is a formula which employs the use of determinants and which helps us calculate the area of a triangle if the vertices are given as
. The formula is as shown below:
Area=
Now, in our case, we have: 
, and

Thus, the area in this case will become:
Area=
Therefore, Area=![\frac{1}{2}\times [[3(-1\times 1-(-5)\times 1]-3[3\times 1-(-2)\times 1]+1[3\times -5-2]]= \frac{1}{2}\times -20=-10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5B%5B3%28-1%5Ctimes%201-%28-5%29%5Ctimes%201%5D-3%5B3%5Ctimes%201-%28-2%29%5Ctimes%201%5D%2B1%5B3%5Ctimes%20-5-2%5D%5D%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20-20%3D-10)
We know that area cannot be negative, so the area of the given triangle is <u>10 squared units</u>.
You can use number patterns to find the LCM of 120 and 360 by multiplying 120 by 1,2,3,4,5,6,and so on and do the same with 360 until you find the least number that they have in common.