A rectangular glass with water has a bottom area of 60 square centimeters and a water depth of 8 centimeters. Now, after a cylinder iron block with a bottom area of 12 square centimeters is vertically placed in the water, some iron blocks are still exposed on the water. How many centimeters is the water depth now?

A rectangular glass with water has a bottom area of 60 square centimeters and a water depth of 8 centimeters. Now, after a cylinder iron block with a bottom area of 12 square centimeters is vertically placed in the water, some iron blocks are still exposed on the water. How many centimeters is the water depth now?

60 × 8 △ 60-12, = 480 △ 48, = 10 (CM); a: the current water depth is 10 cm

As shown in the figure, a rectangular glass can with a length of 12 cm, a width of 8 cm and a height of 5 cm has a water depth of 3 cm when it is placed in the square, and what is the water depth when it is placed vertically
The vertical length is 8 cm and the width is 5 cm,

Volume: 12 * 8 * 3 = 288
Bottom area: 8 * 5 = 40
Height: 288 / 40 = 7.2 cm

The formula (M + n) &# 178; = M & # 178; + 2Mn + n & # 178;: (m-n) &# 178; = M & # 178; - 2Mn + n & # 178;; is given if a is greater than or equal to 0,
Then a = (√ a) &# 178;, 0 ＜ a ＜ 1, and a + 1 / a = 6, find the value of √ a - √ 1 / A

Let a-radical 1 / a = K
So (radical a-radical 1 / a) ^ 2 = k ^ 2
Then A-1 + 1 / a = k ^ 2
Because a + 1 / a = B
So K ^ 2 = B-1, k = root (B-1)
That is, root a-root 1 / a = root (B-1)

Number a is 52 times of number B. how do you think it is multiplication or division?

In "number a is 52 times number B", number B is unit 1
If B is known, multiplication is used; if B is unknown, division is used
For example: the number of a is 52 times of the number of B. if the number of B is known to be 2, calculate the number of A
Solution: 52 × 2 = 104
Another example: the number of a is 52 times of the number of B. if the number of a is 156, calculate the number of B
Solution: 156 △ 52 = 3

As shown in the figure, in the plane oblique coordinate system xoy, ∠ xoy = 60 °, the oblique coordinate of any point P in the plane is defined as follows: if OP = xe1 + Ye2, where E1 and E2 are unit vectors in the same direction with X and Y axes respectively, then the oblique coordinate of point P is (x, y). Then, the equation in the circle oblique coordinate system xoy with o as the center and 2 as the radius is______ ．

Let the oblique coordinates of the moving point m on a circle be (x, y), then | om | = | xe1 + Ye2 | = 2, | x2 + 2xye1 · E2 + y2 = 4, | x2 + Y2 + xy = 4, so the answer is x2 + XY + y2-4 = 0

Given that α is greater than π and less than 2 π, cos (α - 3 π) = minus 3 / 5, find the value of Tan (2 π - α)

The original formula = cos [(- 5 π) - (2-3 π)] = 3 / 5

How to write references in the annotation of papers

I don't quite understand what you want to ask, but if the reference is yes, it's usually at the end of the quoted text (click Insert) to quote - footnotes and endnotes, just choose endnotes

A math problem about log
If log (subscript 8) 3 = k, use K to represent log (subscript 8) 18
log（8） 3=k,log（8） 18=
The subscript in ()
We need ideas and answers

log（8） 3=k ==>log（2）3=3k
log（8） 18=1/3(log(2) 2x3^2)=1/3(1+2log(2) 3)=1/3(1+2x3k)=1/3+2k

-What do (B / 2a) and (4ac-b squared) / 4A mean? I forgot
 

Vertex coordinate formula of quadratic function

1. The multiplication rule of fractions is: as the numerator of the product, as the denominator of the product?
2、（a^2b)^3 （c^2)^2 (bc)^4
________ By_______ Except______
(-c)^3 (-a^2)^2 a^4
There is another topic
A divide B by 1 / b divide C by 1 / C divide d by 1 / D

1. The multiplication rule of fractions is: the product of the molecule is the molecule of the product, and the product of the denominator is the denominator of the product?
2、（a^2b)^3 （c^2)^2 (bc)^4
________ By_______ Except______
(-c)^3 (-a^2)^2 a^4
= (a^6*b^3*c^4*a^4)/((-c)^3*a^4*b^4*c^4)
= - a^6/(b*c^3)