Answer:
10 units
Step-by-step explanation:
We look at the number -7 on the number line and count how many units it is from 3
it looks like you can say 3 - (-7 ) = 10
16 percent
To do this just mlve the decimal point twice to the right
The correct answer is 9.64 square units
Explanation:
The area of a rectangular pool can be calculated simply by multiplying the length by the width. Moreover, this formula A = L × W can also be used to find any of the values if the two other values are known. For example, in this mathematical problem, the length and area are provided. The process to calculate the area is shown below:
A = L × W or A = L × W
12.5 × y (unknown value) = 120. 5 (area)
Move 12.5 to the other side of the equation and divide 120.5 into 12.5 as once you move a value to the other side of an equation the inverse operation should be used (12.5 multiplies y but if it is moved to the other side it needs to divide)
y = 120.5 ÷ 12.5
y = 9.64 square units
The width of the pool is 9.64 units, you can also prove this because 12.5 square units × 9.64 square units = 120.5 square units.
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