Answer:
The length of the third side of the triangle is 8 units
Step-by-step explanation:
Here, since the two sides are adjacent a square, what this means is that the length of the square equals the length of the sides of the triangle adjacent to it.
Mathematically, the formula for the area of a square is L^2
With an area of 32 square units, the length of the side of this triangle is thus √(32) =
4√2 units
So we have two sides of the right triangle with length 4√2 units
Now we should know that this right triangle is an isosceles right triangle since the lengths of the adjacent and the opposite are equal.
Now to calculate the length of the third side which is the hypotenuse, we make use of the pythagoras’ theorem which states that the square of the longest side of a right triangle which is the hypotenuse is equal to the sum of the squares of the other two sides
Thus mathematically, the square of the hypotenuse length is 32 + 32 = 64
Let’s call the hypotenuse h for documentation purposes
h^2 = 64
h = √64
h = 8 units
The equation given is:
10 5/18 - 8 5/6
Turn the equations to improper fractions
[10*18 +5] = 185
[8 * 6 + 5]= 53
185/18 - 53/6
[185 - 159]/18 = 26/18
26/18 = 1 8/18.
The total cost is $36.14 (rounded to the nearest hundreds).
Cost with tax- $28.35 x 106.25%= $30.12 (rounded to the nearest hundreds)
Cost with tax and tip- $30.12 x 120%=$36.14(rounded to the nearest hundreds)
Final cost- $36.14
Answer:
-6
Step-by-step explanation:
f(x) = x^2 + 5x
Let x = -2
f(-2) = (-2)^2 + 5(-2)
= 4 -10
= -6
For example: 18-inch princess necklace made with 4mm beads: 18 x 25.4 ÷ 4 = 114.3. 32-inch opera necklace made with 10mm beads: 32 x 25.4 ÷ 10 = 81.2.
Necklace?
Type Length
Collar 14 to 17 inches
Choker 16 to 18 inches
Princess 17 to 19 inches
Matinee 20 to 25 inches