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The edge of a cube glass container is 2 decimeters long. Pour 5.5 liters of water into the container, and then put a stone into the water. At this time, the water depth in the container is 15 cm What's the volume of stone in cubic centimeter
15 cm = 1.5 decimeter
Volume = 2 × 2 × 1.5-5.5 = 0.5 cubic decimeter = 500 cubic centimeter
The bottom area of a cube glass container is 4 square decimeters. Pour 4 liters of water into the container, and then put a piece of iron in the water. At this time, the water depth in the container is 12 cm. What is the volume of the iron cube?
4÷4=1dm=10cm
4 square decimeters = 400 square centimeters
Volume 400X (12-10) = 800cc
A cube container with the edge length of 2 decimeters holds 5 liters of water. If a map fish is put into the water, the water depth will be 15 cm
I haven't finished the title, but I guess you want the size of the fish
Bottom area of container = 20 * 20 = 400 square centimeter (note unit)
1 square centimeter of water = 1 ml of water
5000/400 = 12.5cm
15-12.5=2.5cm
2.5cm = 0.25m
Fish volume = 0.25 * 2 * 2 = 1 cubic decimeter
A cuboid container is 50 cm long, 40 cm wide and 30 cm high. The water depth in the container is 26 cm. A cube iron block with 20 cm long edges is immersed in water
Will the water in the container overflow
Volume of container without water: (30-26) * 50 * 40 = 8000
Cube volume: 20 * 20 * 20 = 8000
So it doesn't overflow. It's just full
There is a rectangular cardboard which is 12 cm long and 8 cm wide. A small square with a side length of 2 cm is cut off at its four corners to form a paper without cover
What's the volume of this carton?
Length: 12-2 * 2 = 8 cm
Width: 8-2 * 2 = 4cm
Volume = L * w * h
=8*4*2
=64 CC
=64 ml
When an object moves in a straight line at a constant speed, the ()
A. Speed is directly proportional to distance B. speed is inversely proportional to time C. distance is directly proportional to time D. distance is inversely proportional to time
Uniform linear motion, the speed remains unchanged, so the distance is proportional to the time
40-3x = 25 4.2 + 5x = 12.7 there are 91 literature and art books and science and technology books in the book corner. 25% of literature and art books are equal to two fifths of science and technology books. How many books are there
40-3x=25
4.2+5x=12.7
There are 91 literature and art books and science and technology books in the book corner. 25% of literature and art books are equal to two fifths of science and technology books. How many books are there
40-3x=25
3x=40-25
3x=15
x=5
4.2+5x=12.7
5x=12.7-4.2
5x=8.5
x=1.7
There are 91 literature and art books and science and technology books in the book corner. 25% of literature and art books are equal to two fifths of science and technology books. How many books are there
Literature and art books: Science and technology books = 2 / 5:25% = 8:5
8+5=13
Literature and art books: 91 △ 13 × 8 = 56
Science and technology book: 91 △ 13 × 5 = 35
It is known that the side area of the cone is 8 π cm2, and the center angle of the expanded side view is 45 degrees, then the generatrix length of the cone is 8 π cm2______ cm．
Let the generatrix length be r, the side of the cone is fan-shaped after expansion, and the side area s = 45 π, r2360 = 8 π, r = 8cm
1. As shown in Figure 1, it is known that the triangle ABC and BD are the midline on the side of AC, the angle abd = 30 ° and the angle CBD = 90 ° to verify: ab = 2BC (prompt: extend BD to e, make de = BD, connect AE)
2. As shown in Figure 2, it is known that the bisectors of the two outer angles of the triangle ABC intersect at point P, connect BP, and prove that BP is the bisector of ∠ ABC
I have a simpler method for the first question
(1):
Take the midpoint e of AB and connect ed
E and D are the midpoint of AB and AC respectively
∴ ED‖BC
∴ ∠EDB=∠DBC=90°
∵ ∠ABD=30°
It is concluded that ED = & frac12; EB
E is the bisector of ab
∴ ED=¼AB
∵ ED‖BC
∴ ED/BC=AE/AB=1/2
∴ BC=2ED=2×¼AB=½AB
That is ab = 2BC
(2)：
Make PD ⊥ Ba, PE ⊥ AC, PF ⊥ BC, perpendicular to points D, e, f respectively
∵ PA is the bisector of ∠ DAC
∴ ∠PAD=∠PAC
∵ ∠PDA=∠PEA=90°,PA=PA
∴ △PDA≌△PEA
∴ PD=PE
Similarly, we can get PE = PF
∴ PD=PF
∵ ∠PDB=∠PFB=90°,PB=PB
∴ △PDB≌△PFB
∴ ∠PBD=∠PBF
BP is the bisector of ABC
Help to see the absolute value inequality (online, etc.)
【a-2x]>x-1 0
Go to absolute sign, you're wrong, because 0
RELATED INFORMATIONS
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