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
Answer:
132 ft²
Step-by-step explanation:
The shape is composed of a rectangle and a triangle.
Area of the shape = area of rectangle + area of triangle
Area of rectangle = L*W
L = 12 ft
W = 8 ft
Area of rectangle = 12*8 = 96 ft²
Area of triangle = ½bh
b = 8 ft
h = 21 - 12 = 9 ft
Area of triangle = ½(8*9) = 36 ft²
Area of the shape = 96 + 36 = 132 ft²
The plot for January places the median age at 40, so half of the surveyed group was over 40. That would be half of 100 people, or 50 people.
The plot for July places the upper quartile at age 40, so 1/4 of the surveyed group was over 40. That would be 1/4 of 100 people, or 25 people.
There were 50 - 25 = 25 more visitors over the age of 40 at the beach in January.
Answer:
he put 3 in the bag because 12 divided by 4 is 3 brainliest please? ^.^
Step-by-step explanation:
9514 1404 393
Answer:
(x +yi)²
Step-by-step explanation:
Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.
(a +b)² = a² +2ab +b²
Here, we have a=x and b=yi. Then the factorization is ...
x² +2xyi +(yi)² = (x +yi)²