Answer:
15 inches
Step-by-step explanation:
Volume = lwh
150 = (5)w(2)
150 = 10w
w = 15
Volume of a pyramid =1/3B*H
B is Area of base here base is triangle
so Area of a triangle=1/2*b*h
=1/2*5*12
=30 cm^2
Volume=1/3*30*H
90=1/3*30*h
90*3/30=h
(volume is given)
h=9 cm
Answer: 5n = 1.75
Step-by-step explanation:
There are 5”n”s that span the length of the whole (1.75)
Answer:
Graph C is the only one that has a positive slope; the slope of y = 4x - 4 is +4.
Step-by-step explanation:
Graph C is the only one that has a positive slope. Looking carefully, we see that the slope of the line in C is +4.
Answer:
( 2 , -1 )
Step-by-step explanation:
Given:-
A penguin starts on a slide 3 feet above the water. He slides down and glides underwater. The function of penguin height above/below the water is given by:
y = x^2 - 4x + 3
Find:-
-The extreme value (vertex) of the parabolic path
Solution:-
- The vertex ( turning point - minima or maxima ) can be evaluated by taking the first derivative of the given function and setting it equal to zero.
dy/dx = 2x - 4
0 = 2x-4
- Then solve for the critical value of function "x":
x = 4/2 = 2 ft
- The vertex can be evaluated by substituting the critical value of "x" back into the function and evaluate for y:
y = (2)^2 -4*2 + 3
y = 4 - 8 + 3
y = -1 ft
- The vertex of parabolic path lies at the coordinates ( 2 , -1 ). That is 2ft horizontal and 1 ft under water.