Answer:
24
Step-by-step explanation:
First do parenthesis:
3*(9+1)-6 -> 3*(10)-6
Then do multiplication:
3*(10)-6 -> (30)-6
Then complete it with subtraction:
(30)-6 -> (24)
So your answer would be 24!
PEMDAS= Parenthesis, Exponents, Multiplication, Division, Add, Subtract.
Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2
Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.
When z = 4, the rate is 4.
Graph this compound inequality 2.5 is equal to or less than x is equal to or less than 4.5
2.5 <= x < = 4.5
We graph this inequality using number line.
Here x lies between 2.5 and 4.5
While graphing, we start with closed circle at 2.5 because we have equal symbol .
Then shade till 4.5. Use closed circle at 4.5.
The graph is attached below.
Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!
After the construction of a circle, we have to "Set the compass to the radius of the circle" so, option C is correct.
<h3>What is a regular hexagon?</h3>
A regular hexagon is defined as a closed shape consisting of six equal sides and six equal angles. The sum of the measure of angles of a regular hexagon is 120 degrees.
Steps to create an inscribed hexagon:
1: The structure needs to adjust the box thickness towards that radius.
2: Afterward moves around the outside of the circular path to just produce the 6 vertices of that similar hexagon.
"Set the compass to the radius of the circle" so, option C is correct.
Thus the above answer is correct.
Learn more about inscribed hexagons here:
brainly.com/question/21502832
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