Answer:
< F , < E, < D
Step-by-step explanation:
ΔDEF
Arrange the sides from smallest to largest
DE = 4, FD = 13, and EF = 15.
Largest side opposes the largest angle, medium side opposes the medium angle, smallest side opposes the smallest angle.
the angles of ΔDEF in order from smallest to largest
< F , < E, < D
Answer:
A. the slope value is 1/4
B. 0
C. y = 1/4x
Step-by-step explanation:
A: the slope can be calculated with the formula
m is the slope
(x1, y1) is your first coordinate point (any point will work)
(x2, y2) is your second coordinate point (any point will work)
Plug in your values, in this case I chose (0,0) and (4,1) as the two coordinates:
B: the y-intercept is the y-coordinate of where the graph touches the y-axis and in this case the coordinate is (0,0) where the y coordinate is 0.
C:
the equation of the graph is y = mx + b.
m is the slope = 1/4
b is the y-intercept = 0
Therefore the equation is y = 1/4x
Answer:
Height of the box = 11.5 in
Step-by-step explanation:
Let h be the height of the box.
Assuming the volume of the Box is .
Given:
Length = Height - 4 = h - 4
Width = 3 in
We need to find the height of the box.
Solution:
We know that the volume of the box.
Substitute all given value in above formula.
Rewrite the equation as:
whole equation divided by 3.
Use quadratic formula with
Put these a, b and c value in above equation.
For positive sign
h = 11.5 in
For negative sign
h = -7.5
We take positive value of h.
Therefore, the height of the box h = 11.5 in