Answer:
<h2><u><em>
x = 4</em></u></h2>
Step-by-step explanation:
that's an equilateral triangle, 3 equal side and 3 equal angles of 60°,
so 10x + 20 = 60
solve with an equation
10x + 20 = 60
10x = 60 - 20
10x = 40
x = 40 : 10
x = 4
--------------------------
check
10 * 4 + 20 =
60°
the answer is good
average rate of change is the slope (of the line) between the two coordinates
f(t) = -16t² + 48t + 100
f(3) = -16(3)² + 48(3) + 100 = -144 + 144 + 100 = 100 (3, 100)
f(5) = -16(5)² + 48(5) + 100 = -400 + 240 + 100 = -60 (5, -60)
m = 
= 
= 
= -80
Answer: -80 ft/sec
<u>Answer:</u> x = 1/5 and y= -7/5
Step-by-step explanation: Let's solve your system by elimination.
Multiply the first equation by -3,and multiply the second equation by 1.
-3 (x - 2y = 3)
1 (3x - y = 2)
Becomes:
-3x + 6y = -9
3x -y = 2
Add these equations to eliminate x:
5y = -7
Then solve 5y = -7
5y/7 = -7/5
y = -7/5
Now that we‘ve found y, let’s plug it back in and solve for x.
Write down an original equation:
x - 2y = 3
<h3>
Substitute -7/5 for y in x - 2y = 3:</h3><h3>
x - 2 (-7/5) = 3</h3><h3>
x + 14/5 = 3</h3><h3>
x 14/5 + -14/5 = 3 + -14/5 (Add (-14)/5 to both sides)</h3><h3>
x = 1/5</h3><h3><u>
Answer: </u></h3><h3>x = 1/5 and y = -7/5</h3><h3 /><h3 /><h3 />
Answer:
113.04 (6 + g) / 32
Step-by-step explanation:
We know that the total area of a cone is:
A = Pi * r * (r + g), let g be the generatrix.
The radius is half the diameter, therefore, 12/2 = 6 feet.
Replacing:
A = 3.14 * (6) * (6 + g) = 113.04 (6 + g) square feet.
To know the total number of tiles package, we must divide the area of the cone by the area occupied by a package. So:
113.04 (6 + g) / 32
The problem statement does not have a height or the value of the generatrix therefore it is not possible to calculate the number of packages.
