Answer:
Triangle C and D
Is your correct answer
Triangle A have 3 sides equal so it is equilateral triangle
Triangle B have 2 sides equal so it is isosceles triangle
Triangle C have no equal sides so it is scalene triangle
Triangle D have no equal sides so it is scalene triangle
Let
h: height of the water
r: radius of the circular top of the water
V: the volume of water in the cup.
We have:
r/h = 3/10
So,
r = (3/10)*h
the volume of a cone is:
V = (1/3)*π*r^2*h
Rewriting:
V (t) = (1/3)*π*((3/10)*h(t))^2*h(t)
V (t) =(3π/100)*h(t)^3
Using implicit differentiation:
V'(t) = (9π/100)*h(t)^2*h'(t)
Clearing h'(t)
h'(t)=V'(t)/((9π/100)*h(t)^2)
the rate of change of volume is V'(t) = 2 cm3/s when h(t) = 5 cm.
substituting:
h'(t) = 8/(9π) cm/s
Answer:
the water level is rising at a rate of:
h'(t) = 8/(9π) cm/s
Answer:
c
Step-by-step explanation:
y-6<0,y<6
all graphs satisfy it
y<x+4
when x=0,y<4
c satisfies it.
y+6>-3x
when x=0,y>-6
c satisfies it.
a b
c d
9514 1404 393
Answer:
y = -2·(1/2)^x
Step-by-step explanation:
The general form of the equation can be written as ...
y = a·b^x
where 'a' is the value of the y-intercept, and 'b' is the ratio of y-values for x-values that differ by 1.
From your table and graph, a = -2. From the table, ...
b = -1/-2 = 1/2
Then the exponential equation is ...
y = -2·(1/2)^x
Answer:-4ab-7a-6
Step-by-step explanation:
(-6ab-7a+2) - (-2ab+8)
-6ab -7a + 2 + 2ab-8 (removed parentheses & fixed the negative at the end)
-4ab-7a-6 (combined like terms)