Answer:
Step-by-step explanation:
There are 180 degrees in a triangle. With that information we can make the equation: 180=(47+85)+x.
When you solve it becomes:
180=132+x --> x=48 degrees
Hope that helped!
Answer:
Step-by-step explanation:
a1 = - 2
an = a1 * r^(n - 1)
a6 = -486
-486 = - 2 * r^(6-1) Divide by 2
243 = r^5
The largest value that r could be is 3.
4^5 = 1024
(243)^(1/5) = 3
So the general formula
an = -2*(3)^(n - 1)
Answer:
4.36 in
Step-by-step explanation:
To solve this problem we first find the volume of the sphere using the volume formula, after this we set this volume equal to the volume container which is a rectangular prism. After this we simple solve for the height by dividing the volume of the sphere by 12*10 to get the height
So the steps should look like
(4/3)*π*5³=523.599 in³
523.599 in³=12*10*Height
(523.599/(12*10))=4.36 in
Answer:
I'm pretty sure the answer is the second choice
Step-by-step explanation:
because you have to add X to both sides
Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

2. A florist can make a grand arrangement in 18 minutes
hour, then he can make y arrangements in
hours.
A florist can make a simple arrangement in 10 minutes
hour, so he can make x arrangements in
hours.
The florist can work only 40 hours per week, then

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines
and 
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is
