Answer:
Step-by-step explanation:
A linear equation is an equation with two variables whose graph is a line. ... is a set of points in the coordinate plane that all are solutions to the equation. If all variables represent real numbers one can graph the equation by plotting enough points to recognize a pattern and then connect the points to include all points.
The rectangular prism has the greatest volume
Rectangular Prism Volume= 72
Triangular Prism Volume = 70
Volume formulas:
(R.Prism) V=l•w•h
(T. Prism) V= b•h
Work:
(R.Prism)
V= 4•6•3
V= 72
(T.Prism)
V= (1/2•4•5)(7)
V= 70
Hope this helps
Answer:
The angle of elevation of the sun is 33.7⁰
Step-by-step explanation:
let the height of the tree, T = 10 foot
length of the shadow created by the tree, B = 15 feet long
Height of the tree and the shadow of the tree forms a right angle triangle with the remaining side that joins the two which is known as hypotenuse.
Let the remaining side, hypotenuse, L = ?
Apply Pythagoras theorem;
L ² = T² + B²
L ² = 10² + 15²
L ² = 325
L = √325
L = 18.03 ft
The angle of elevation of the sun, is the angle facing the height of the tree with the length of the shadow of the tree as adjacent of the triangle.
Let the angle of elevation = θ
tan θ = opp / adj
tan θ = 10 / 15
tan θ = 0.66667
θ = tan ⁻¹ (0.66667)
θ = 33.7⁰
Therefore, the angle of elevation of the sun is 33.7⁰
Answer: C. 5/6
Steps:
Use the formula x1-x2/y1-y2 to find the slope
(5,11), (-5,-1)
-5-5/-1-11
= -10/-12
=5/6
