The angles of a triangle add up to 180 degrees
65 + 3x - 10 + 2x = 180
5x + 55 = 180
5x = 180 - 55
5x = 125
x = 125/5
x = 25 <====
m < B = 3x - 10 = 3(25) - 10 = 75 - 10 = 65 <== B is 65 degrees
m < C = 2x......= 2(25) = 50 <== C is 50
Answer:
Verified
Step-by-step explanation:
Let the diagonal matrix D with size 2x2 be in the form of
![\left[\begin{array}{cc}a&0\\0&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%260%5C%5C0%26d%5Cend%7Barray%7D%5Cright%5D)
Then the determinant of matrix D would be
det(D) = a*d - 0*0 = ad
This is the product of the matrix's diagonal numbers
So the theorem is true for 2x2 matrices
When you have a negative exponent, you move the base with the negative exponent to the other side of the fraction to make the exponent positive.
For example:
or 
or 

When a base with an exponent is divided by a base with an exponent, you subtract the exponents together. (But you can only combine the exponents when the bases are the same)
For example:
(can't combine because they have different bases of y and x)


When you multiply an exponent directly to a base with an exponent, you multiply the exponents together.
For example:


First multiply the exponents together in the denominator
Now subtract the exponents together
(two negative signs cancel each other out and become positive)


Answer:
59049+0
59048.1+0.9
59048.01+0.99
...
Step-by-step explanation:
There's infinite.
Answer:
break even point = 8000 socks produced or $36000 in costs
Step-by-step explanation:
the cost function of the firm is
total cost = fixed cost + variable cost = $20000 + $2*Q
where Q= number of socks
the revenue from sales is
sales = Price* Q = $4.50*Q
the break even point is reached when the net profit is = 0 ( that is, the total cost is equal to the revenue from sales) , then
total cost = sales
$20000 + $2*Q =$4.50*Q
Q= $20000/($4.50-$2) = 8000 socks
that represents
total cost = $20000 + $2*8000 = $36000
then
break even point = 8000 socks produced or $36000 in costs