Answer:
4x²√4√6√x⁶√x
Step-by-step explanation:
4x²√(24x⁷)
The above expression can be simplified as follow:
4x²√(24x⁷)
Recall
√(MN) = √M × √N = √M√N
Thus,
4x²√(24x⁷) = 4x²√24√x⁷
But:
√24 = √(4×6) = √4√6
√x⁷ = √x⁶√x
Thus,
4x²√24√x⁷ = 4x²√4√6√x⁶√x
Therefore,
4x²√(24x⁷) = 4x²√4√6√x⁶√x
If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3
But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).
If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side
Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.
In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.
Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3
The percentage change in the staff strength of the grocery store is 10.53%.
<h3>How to find the percentage change?</h3>
We are given;
Number of employees in store = 38 employees
Number of additional people hired = 4 employees
Thus, percentage change in their staff is;
4/38 * 100% = 10.53%
Thus, the percentage change in the staff strength of the grocery store is 10.53%.
Read more about Percentage change at; brainly.com/question/2085058
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Answer 50:50
If you add 105 and 210 together you get 315 which is equal to the number of yellow flowers alone
