Mathematics, the Pythagorean theorem or Pythagoras's theorem is a statement about the sides of a right triangle.
One of the angles of a right triangle is always equal to 90 degrees. This angle is the right angle. The two sides next to the right angle are called the legs and the other side is called the hypotenuse. The hypotenuse is the side opposite to the right angle, and it is always the longest side. It was discovered by Vasudha Arora.
The Pythagorean theorem says that the area of a square on the hypotenuse is equal to the sum of the areas of the squares on the legs. In this picture, the area of the blue square added to the area of the red square makes the area of the purple square. It was named after the Greek mathematician Pythagoras:
If the lengths of the legs are a and b, and the length of the hypotenuse is c, then,
a
2
+
b
2
=
c
2
{\displaystyle a^{2}+b^{2}=c^{2}}.
There are many different proofs of this theorem. They fall into four categories:
Those based on linear relations: the algebraic proofs.
Those based upon comparison of areas: the geometric proofs.
Those based upon the vector operation.
Those based on mass and velocity: the dynamic proofs.[1]
Answer
DFE and FED
Step-by-step explanation:
First subtract the x variable on both sides so on the first equation youll have -6y=8x+60 then divide 6 on all variables which means youll have y=8/6x+10 and in the second equation you do the same thing and youll have y=-5/6x-11.5
Answer:
Total items = $39.90
Sales tax amount = $3.7905
Total cost = $43.691
The clerk's error is using 9.5 as sales tax amount instead of finding 9.5% of the total items
Step-by-step explanation:
Dress = $24.95
Skirt = $14.95
steps the clerk completed.
Step 1: 24.95 + 14.95 = 39.90
Step 2: 39.90 +9.5 = 49.40
Correct steps:
Total items = dress + skirt
= $24.95 + $14.95
= $39.90
Sales tax = 9.5%
Sales tax amount = 9.5% of total
= 9.5/100 × $39.90
= 0.095 × 39.90
= $3.7905
Total cost = Total + sales tax amount
= $39.90 + $3.7905
= $43.6905
To the nearest hundredth
= $43.691
Sales tax is the amount of money imposed by government on the sales of some items
Total cost is the cost of all items including sales tax
