Answer:
total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Step-by-step explanation:
The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.
volume of cylinder: (pi)(r^2)h
volume of sphere: (4/3)(pi)r^3
total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3
We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.
total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3
total volume = 300pi cm^3 + (250/3)pi cm^3
exact total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Answer:
-1/2 is the opposite
Step-by-step explanation: -x is the opposite for number x, whatever x is
Answer:
y = 3x + 8
Step-by-step explanation:
to find slope intercept if we have 2 points use this formula:
find the slope first: m= (y2-y1)/ (x2-x1)
after get the slope, use this formula:
y-y1 = m(x-x1)
Answer:
m= (y2-y1)/ (x2-x1)
= (2-8)/ (-2-0)= -6/-2 = 3
y-y1 = m(x-x1)
y-8 = 3 (x-0)
y = 3x + 8
hope it helps
Answer:
700 + 25m = 1000 is the correct equation
Step-by-step explanation:
In this question, we are tasked with finding the equation that represents the number of months m which in which megan will have $1000 in her account.
Now for her daughter, there are two kinds of ways she generates money for he account. The $700 see money her mother gave her and the $25 she has per month.
Thus after m months, the total she would have raised from the $25 each would be $25m
Now, we add this to the $700 see money and equate to $1000
Mathematically we have;
700 + 25m = 1,000
