Step-by-step explanation:
The Pythagorean theorem can be understood as a mathematical relationship between the sides of a right triangle that helps to understand geometric problems in real situations, such as finding measurements, calculating areas, etc.
The theorem says that the square of the hypotenuse is equal to the sum of the squares on the other sides.
In a right triangle the hypotenuse is the longest side of the triangle, on the side opposite to its longest angle, and the other two sides will be the sides. So the Pythagorean theorem formula is:
a² = b² + c²
where a represents the hypotenuse and b and c the other sides.
Answer:
12 inches
Step-by-step explanation:
Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length
is twice the width. The volume of the box is 3,456 in? What is the height of the box?
Volume of a Rectangular pyramid = Length × Width × Height
From the above question
Height = Width = x
Length = 2 × Width
Length = 2x
Volume = 3,456 cubic inches
Hence,
3,456 = 2x × x × x
3456 = 2x³
x³ = 3456/2
x³ = 1728
Cube root both sides
Cube root(x³) = cube root (1728 cubic Inches)
x = 12 inches
Therefore, the height is 12 inches
The inequality will be 0 < x < 5 .
Each line plotted on a coordinate graph divides the graph (or plane) into two half‐planes. Before graphing a linear inequality, you must first find or use the equation of the line to make a boundary line.
The y z - plane is represented by the equation x = 0 .
As the region is between the y z - plane and the vertical plane x = 5 , we will get the inequality 0 < x < 5 .
Therefore , the inequality will be 0 < x < 5 .
To learn more on inequality follow link :
brainly.com/question/24372553
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F(x+h) = 2(x+h) +3= 2x + 2h +3
f(x) = 2x + 5
f(x+h) - f(x) = 2x + 2h + 3- 2x - 3= 2h
[f(x+h) - f(x)]/h = 2h/h = 2
A + R + J = 1925
A = 1/2R
J = 2R
1/2R + R + 2R = 1925
7/2R = 1925
R = 550
J = 2(550)
J = 1100
Joel collects 1100 cans.
