use scientific notation (2.4x10^3) (1.6x10^2)
To multiply two numbers in scientific notation, you can multiply the coefficients and add the exponents.
Let's multiply 2.4x10^3 and 1.6x10^2:
(2.4 * 1.6) * (10^3 * 10^2)
= 3.84 * 10^(3+2)
= 3.84 * 10^5
Therefore, the product of 2.4x10^3 and 1.6x10^2 is 3.84x10^5.
a triangle is drawn and squares are created from the lengths of each side. Square A has an area of 25 units squared and square C has an area of 75 units squared what must be the area of the 3rd square for triangle to have a right angle?
To determine the area of the third square, we need to understand the relationship between the squares and the triangle.
If square A has an area of 25 units squared and square C has an area of 75 units squared, it means that square C has a larger area than square A.
If we draw a triangle and construct squares on each of its sides, the square with the largest area will be the one constructed on the longest side of the triangle.
Therefore, to create a right angle in the triangle, the square with the largest area (square C) must be constructed on the hypotenuse of the triangle.
Now, to find the area of the third square, we need to determine the relationship between square C and the other squares.
Since square C has an area of 75 units squared, and square A has an area of 25 units squared, we can say that the area of square C is 3 times the area of square A.
So, if we want the triangle to have a right angle, the area of the third square must also be 3 times the area of square A.
Therefore, the area of the third square should be 3 * 25 = 75 units squared.
wrong
Apologies for the misunderstanding. Let's approach the problem again.
In a triangle, if squares are constructed on each of the sides, the sum of the areas of the two smaller squares will be equal to the area of the largest square if and only if the triangle has a right angle.
Given that square A has an area of 25 units squared and square C has an area of 75 units squared, we can determine the area of the third square.
To find the area of the third square, we need to subtract the area of square A from the area of square C:
Area of third square = Area of square C - Area of square A
= 75 - 25
= 50 units squared.
Therefore, the area of the third square must be 50 units squared for the triangle to have a right angle.
2(6x+7)=3x+?x+?
find both ?
To solve for the missing values represented by "?", we need to distribute the 2 to the terms inside the parentheses:
2(6x + 7) = 3x + ?x + ?
Using the distributive property, we have:
12x + 14 = 3x + ?x + ?
To group the x terms together, we rearrange the equation:
12x + 14 - 3x = ?x + ?x
Combining like terms:
9x + 14 = ?x + ?x
From here, we can conclude that the missing values "?x + ?x" must sum up to 9x. Therefore, there could be multiple solutions depending on the values assigned to "?". For example, one possible solution could be "? = 4x" and "? = 5x". Thus, the equation becomes:
9x + 14 = 4x + 5x
Simplifying further:
9x + 14 = 9x
The equation now becomes an identity where both sides are equal. Therefore, this particular solution would make the equation true. But remember, there could be other valid solutions depending on the values assigned to the missing "?" terms.
solve 2(6x+7)=3x+ square x + triangle
find square and triangle's value
To solve the equation 2(6x + 7) = 3x + square(x) + triangle, we need to simplify and isolate the variables on one side.
First, let's distribute the 2 to the terms inside the parentheses:
12x + 14 = 3x + square(x) + triangle
Next, let's combine like terms on the right side by subtracting 3x from both sides:
12x + 14 - 3x = square(x) + triangle
Simplifying further, we have:
9x + 14 = square(x) + triangle
Since we do not have any additional information, we cannot determine the specific values of square(x) and triangle. They could represent any numbers or variables without further constraints or context.