Answer:
Step-by-step explanation:
you multiply across, so you do 2*2 for the numerator, then 3*3 for the denominator. This would equal 4 as the numerator, 9 as the denominator, which is
Answer:
150in²
Step-by-step explanation:
The surface area of a cube is given by the following equation where <em>s</em> is the length of a side:

So, in this case, s is equal to 5:

Answer:
x = 34
Step-by-step explanation:
If it is bisected, that means the angles are equal <ABD = < CBD
The triangles are equal by SAS
That means AD = CD
2x+30 = 3x-4
subtract 2x from each side
2x+30 -2x = 3x-4 -2x
30 = x-4
Add 4 to each side
3x+4 = x-4+4
34 =x
The circumference of a circle is 
Circumference = 
It says to leave in terms of pi which means that we won't solve 
Thus the answer is
.
Hope that helped!
Answer:
500 type A; 3500 type B
Step-by-step explanation:
The method of Lagrange multipliers can solve this quickly. For objective function f(x, y) and constraint function g(x, y)=0 we can set the partial derivatives of the Lagrangian to zero to find the values of the variables at the extreme of interest.
These functions are ...

The Lagrangian is ...


Since x and y are in thousands, maximum profit is to be had when the company produces ...
500 Type A souvenirs, and 3500 Type B souvenirs