Answer:
9 (3 + 5)
Step-by-step explanation:
The given expression is 27 + 45
We can write both terms in factored form as
9×3 + 9×5
Now, since 9 is in both the factors. Hence, we can factored out 9
Factored out 9, we get
9 (3 + 5)
Therefore, the equivalent expression for 27 + 45 is 9 (3 + 5)
Answer:
9 (3 + 5) is the answer.
In the scenario, a right triangle is formed with the board, the ground, and the wall. We use the Pythagorean theorem to find the height the board will reach up the wall and get the result as 8 feet.
This is a geometry problem where we need to determine the height the board will reach up the wall. This appears to be a right triangle since the board is leaning against the wall. The length of the board is the hypotenuse (10 feet), and the distance from the wall is one of the legs of the triangle (6 feet).
To find the height the board will reach up the wall, which is the other leg of the triangle, we can use the Pythagorean theorem: a² + b² = c² where a and b are the legs and c is the hypotenuse.
Substitute the given values to the formula: a² + 6² = 10²
Solving this equation gives: a² = 10² - 6²
Then, a² = 64
So, a = √64 = 8
Thus, the height the board will reach up the wall is 8 feet.
#SPJ3
_Maple boards
Answer:
30-60-90 triangle
Angle BCD = 60
Hypotenuse is 2 times the length of short leg
The long leg is times the short leg
BC = 20
Step-by-step explanation:
I think the explanations are in the questions.
You need to memorize the relationships