1 cm is the base of the triangle
Answer: 135cm
Step-by-step explanation
Volume of a cylinder = πr²h
Volume of a cone. = 1/3πr²h
The two shapes are both solid shapes.
Since the have same volume, we can then equate the two together and solve for the height of the cone.
Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.
Now equating the two
πR²H = 1/3πr²h
Now substitute for the values now
Multiply through by 3
3πR²H = πr²h
But π is common so it could be obliterated from the equation
3R²H = r²h
3 x 12² x 20 = 8² x h
3 x 144 x 20 = 64 x h
60 x 144 = 64h
8640. = 64h
Therefore
h = 8640/64
= 135cm
Answer:
Set of all real numbers
Step-by-step explanation:
When we talk of domain, we mean the possible values of x that the equation can take without being undefined
So x-values that makes the equation defined are the domain of the graph
From the diagram, we can see that the graph extends from negative infinity to positive infinity
What this mean is that the possible values here come from the top right and extends to the left
So this means that the range of possible values are the set of all real numbers
Answer:
x = 14
Step-by-step explanation:
5x - 40 = 30
+40 +40
5x = 70
divide by 5 on both sides
x= 14
Answer: 500 pieces of wheat
Explanation:
First: set up the proportion
Cookies:wheat = 8:2
Simplify = 4:1
We need to find how much wheat he needs for 2,000 cookies.
We need to assign a variable for wheat
Wheat = W
If Josh needs to make 2,000 cookies he would need W amount of wheat
Original proportion = 4:1
For 2,000 cookies = 2,000:W
To get from 4 to 2,000
2,000/4 = 500
So W/1 = 500
Isolate the variable:
w/1 (1) = 500/1
W = 500
