Answer: I think the answer is B
Step-by-step explanation:
8(x-4) = 8(1-4) = 8-32
2(4x-16) =2(4*1-16) = 8-32
8(x-4) = 8(2-4) = 16-32
2(4x-16) = 2(4*2-16) = 16-32
Answer:
The total number of balls in the pyramid will be 55.
Step-by-step explanation:
Cannonballs are stacked In a pyramid shape with a base of 5 cannonballs on a side.
Therefore, at the base, the number of balls is 5².
In the layer above the base layer, there are 4 balls on each side.
So, in the layer above the base layer, the number of balls is 4².
Similarly, in the next levels, the number of balls will be 3², 2² and 1.
Therefore, the total number of balls in the pyramid will be (5² + 4² + 3² + 2² + 1) = 55. (Answer)
Hello there!
n - 5 ≤ 5n - 1
Solve for n
Let's start by subtracting 5n from both sides
n - 5 - 5n ≤ 5n - 5n - 1
n - 5 - 5n ≤ -1
We need to transfer -5 on the other side, we can do that by adding 5 on both sides
n - 5 - 5n + 5 ≤ -1 + 5
n - 5n ≤ -4
-4n ≤ -4
Finally divide both sides by -4
-4n/-4 ≤ -4/-4
n ≥ -1 (This is the answer)!
Do you know why I changed the sign?
A lot of students failed to remember that rules, which is:
When you are solving an inequality, if you divide both sides by a negative sign, you MUST change the symbol as well. If it was this <, it will change to this >. Got it? Cool!
I hope the steps are clear to understand. If you have questions, feel free to let me know...
As always, I am here to help!
100%/x%=12/15
<span>(100/x)*x=(12/15)*x - </span>we multiply both sides of the equation by x
<span>100=0.8*x - </span>we divide both sides of the equation by (0.8) to get x
<span>100/0.8=x </span>
<span>125=x </span>
<span>x=125
so 125%</span>
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
