Answer:
x = 5
Step-by-step explanation:
Since both triangles are similar hence;
m<CAB = m<CDE
Given theta
m<CAB = 50degrees
m<CDE = 10x
Substitute the given angles
50 = 10x
Swap
10x = 50
Divide both sides by 10
10x/10 = 50/10
x = 5
Hence the value of x is 5
Answer:
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
Step-by-step explanation:
Volume of the Cylinder=400 cm³
Volume of a Cylinder=πr²h
Therefore: πr²h=400

Total Surface Area of a Cylinder=2πr²+2πrh
Cost of the materials for the Top and Bottom=0.06 cents per square centimeter
Cost of the materials for the sides=0.03 cents per square centimeter
Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)
C=0.12πr²+0.06πrh
Recall: 
Therefore:



The minimum cost occurs when the derivative of the Cost =0.






r=3.17 cm
Recall that:


h=12.67cm
The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.
9514 1404 393
Answer:
34
Step-by-step explanation:
Maybe you want to evaluate ...
16 - 14 ÷ 2 + (3 +2)²
The parentheses are evaluated first.
16 -14÷2 +5²
Then the exponential term.
16 -14÷2 +25
The division is evaluated next.
16 -7 +25
Finally, the sum is evaluated.
= 9 +25
= 34
____
Your calculator can do this arithmetic for you.
No, xy = yx is not distributive property, Hope this helps
A function is denoted as y = g (x), where x is the argument or input of the function. We know that x=-1, this means that in order to get g(-1) we should replace x with -1.
g(-1)=(-1)^3+6(-1)^2+12*(-1)+8= (-1)+6*1+(-12)+8=-1+6-12+8=5-12+8=-7+8=1
g(-1)=1