Jake is buying a sweater with the price of 30 dollars the store is having a sell that will reduce the price by 30%. Sales tax of
1 answer:
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First, we need to find the length of the side of the square.
Use phytagorean theorem to find the length of the side. The side acts as hypotenuse, the distance of x and the distance of y acts as the perpendicular side of a right triangle. For clear understanding, see image attached.
General phytagorean theorem
c² = a² + b²
c represents hypotenuse, a and b are the side perpendicular to each other.
In this case, we could write it as
s² = Δx² + Δy²
s represents the length of the side, Δx represents distance of x, Δy represents distance of y
Plug in the numbers, use two of the vertices
I use (4,-1) and (7,3)
s² = Δx² + Δy²
s² = (7-4)² + (3 - (-1))²
s² = 3² + (3 + 1)²
s² = 3² + 4²
s² = 9 + 16
s² = 25
s = √25
s = 5
The length of the side is equal to 5 units length.
Second, find the area of the square
General area to find the area of a square
a = s²
Plug in the numbers
a = s²
a = 5²
a = 25
The area of the square is equal to 25 units area.
Use phytagorean theorem to find the length of the side. The side acts as hypotenuse, the distance of x and the distance of y acts as the perpendicular side of a right triangle. For clear understanding, see image attached.
General phytagorean theorem
c² = a² + b²
c represents hypotenuse, a and b are the side perpendicular to each other.
In this case, we could write it as
s² = Δx² + Δy²
s represents the length of the side, Δx represents distance of x, Δy represents distance of y
Plug in the numbers, use two of the vertices
I use (4,-1) and (7,3)
s² = Δx² + Δy²
s² = (7-4)² + (3 - (-1))²
s² = 3² + (3 + 1)²
s² = 3² + 4²
s² = 9 + 16
s² = 25
s = √25
s = 5
The length of the side is equal to 5 units length.
Second, find the area of the square
General area to find the area of a square
a = s²
Plug in the numbers
a = s²
a = 5²
a = 25
The area of the square is equal to 25 units area.
Answer:
<em>The slope is 0.55</em>
Step-by-step explanation:
<u>Right Triangles</u>
The string, the ground, and the height of the balloon form a right triangle where the trigonometric ratios are satisfied.
The image below shows the geometric construction. We are required to find the slope the string forms with the ground.
It can be found by using the tangent ratio:
Substituting y=30 and x=55
The slope is 0.55