Answer:
6m+7.5
Step-by-step explanation:
the arithmetic mean is the average of two numbers
it is given that a is average of 6m and 10
so 
b is the average of 4m and 4
so 
c is the average of 14m and 16
so 
now the average of a ,b and c is given by
Volume of 1/4 gal
= Volume of 2/3 bin
Volume(x gal)
= Volume( 1 bin)
So, (1/4)/(2/3)
= x/1
(1/4)/(2/3)
= x
(1/4)/(3/2)
x = 3/8 (Total balance required to fill the entire bin)
In order to fill the bin, the additional gallons need to be added to the initial 1/4 gallon
Therefore, 3/8 - 1/4 = 1/8 gallons
Hope that helps!!!!
<h3>
Answer: 1</h3>
where x is nonzero
=======================================================
Explanation:
We'll use two rules here
- (a^b)^c = a^(b*c) ... multiply exponents
- a^b*a^c = a^(b+c) ... add exponents
------------------------------
The portion [ x^(a-b) ]^(a+b) would turn into x^[ (a-b)(a+b) ] after using the first rule shown above. That turns into x^(a^2 - b^2) after using the difference of squares rule.
Similarly, the second portion turns into x^(b^2-c^2) and the third part becomes x^(c^2-a^2)
-------------------------------
After applying rule 1 to each of the three pieces, we will have 3 bases of x with the exponents of (a^2-b^2), (b^2-c^2) and (c^2-a^2)
Add up those exponents (using rule 2 above) and we get
(a^2-b^2)+(b^2-c^2)+(c^2-a^2)
a^2-b^2+b^2-c^2+c^2-a^2
(a^2-a^2) + (-b^2+b^2) + (-c^2+c^2)
0a^2 + 0b^2 + 0c^2
0+0+0
0
All three exponents add to 0. As long as x is nonzero, then x^0 = 1
The error would be assuming the altitude is a bisector and divides the sides evenly.
Answer: 3 would be a adjacent angle
Step-by-step explanation:
They don’t overlap
