Answer:
8 3/4 inches
Step-by-step explanation:
Total length of the rod = 24 1/2 inches
Carlos = 8 3/4 inches
Amanda = 6 3/8 inches
length of the rod remaining = Total length - ( Carlos + Amanda)
= 24 1/2 - (8 3/4 + 6 3/8)
= 49/2 - (35/4 + 51/8)
= 49/2 - ( 75+51/8)
= 49/2 - 126/8
= 196-126/8
= 70/8
= 8 6/8 inches
= 8 3/4 inches
Length of rod remaining = 8 3/4 inches
Answer: A. Wed to Fri
We have a bunch of natural numbers and we're told a pair is in the ratio 2:5.
For natural numbers to have this ratio, the left number will be a multiple of two and the right number will be a multiple of five.
Our only option for a multiple of 5 is 15, Friday. So we have
2:5 = x:15
and x = 15*2/5 = 6
which was Wednesday's number. So we get Wed:Fri=6:15=2:5.
Answer:
(a) 
(b) 
Step-by-step explanation:
It is given that 
.
(a)
![[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%20x%3D%5Csin%20y%5CRightarrow%20x%3Dn%5Cpi%2B%28-1%29%5Eny%5D)
(b)
![[\because \sin x=\dfrac{1}{\csc x}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csin%20x%3D%5Cdfrac%7B1%7D%7B%5Ccsc%20x%7D%5D)
Therefore, .
Step-by-step explanation:
apply distance formula
distance = ±√(4--3)^2 + (3--2)^2 = ±√74 (rej - value since distance > 0)
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
As the cube has 6 faces the area of one face will be 864 / 6 = 144 in^2
so each edge = 12 in
Volume of cube = 12^3 = 1728 in^3
