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If logax = 2, logbx = 3, logcx = 6, then the value of logabcx is___ ．
∵ logax = 2, logbx = 3, logcx = 6, ∵ lgxlga = 2, lgxlgb = 3, lgxlgc = 6. Lgx ≠ 0. Then logabcx = lgxlga + LGB + LGC = lgxlgx2 + lgx3 + lgx6 = 1, so the answer is: 1
4 (logax) square + 3 (logbx) square = 8 logax times logbx a B x are all positive numbers to find the relationship between A.B
4 (logax) squared - 8logax multiplied by logbx + 3 (logbx) squared = 0 (2logax-3logbx) (2logax logbx) = 02logax = 3logbx, 2logax = logbx2lgx / LGA = 3lgx / LGB, 2lgx / LGA = lgx / lgblgx / 3lga = lgx / 2lgb, lgx / LGA = lgx / 2lgb3lga = 2lgb, LGA = 2lgba & sup3; = B & sup2
The volume of a cuboid is 990 cubic centimeter. The interesting thing is that the cuboid's length, width and height differ by 1 centimeter. Find the surface area of the cuboid
Let the minimum edge be a, then a (a + 1) (a + 2) = 990, then a = 9, then the length, width and height are 9, 10 and 11, so the surface area is 598
A rectangular box with a square bottom has a circumference of 24cm and a height of 10cm. What's the volume of the box? Help!
It is known that the bottom is a square, and the perimeter is 24cm, then the side length of the bottom square is 6cm, the square area of the ground is 6 times 6 = 36cm, and the cuboid volume formula is the bottom area times height, so the cuboid carton volume is 36 times 10 = 360cm
A cuboid with a square bottom has a circumference of 36 cm and a height of 5 cm. Its volume is () cubic cm
mathematical problem
A cuboid with a square bottom has a circumference of 36 cm, so its bottom area is 9 * 9 = 81 square cm
Volume = 81 * 5 = 405 CC
The bottom area of a cuboid is a square. Its circumference is 32 cm and its height is 10 cm. The cuboid's volume is () cubic cm
Because the circumference is 32 cm
So the side length of the bottom is 32 / 4 = 8 cm
So the volume is 8 * 8 * 10 = 640 cubic centimeters
The circumference of the bottom of a cube is 12 cm, and its volume is______ ．
12 △ 4 = 3 (CM); 3 × 3 × 3 = 27 (cm3); a: the volume of a cube is 27 cm3
The bottom of a cuboid is a square with a circumference of 16 cm and a height of 3 cm. What is the volume of the cuboid?
16 △ 4 = 4 (CM), 4 × 4 × 3 = 48 (CC). A: the volume of this cuboid is 48 CC
A cuboid whose bottom is a cube has a circumference of 24 cm and a height of 10 cm. How many cubic centimeters is its volume?
24 △ 4 = 6cm (side length)
6×6×10
=360 square centimeter (volume)
A cuboid, the bottom is 20 cm square circumference, 4 decimeters high, the cuboid volume is how many cubic decimeters
20 △ 4 = 5 cm = 0.5 decimeter
0.5 × 0.5 × 4 = 1 cubic decimeter
A: the volume of this cuboid is 1 cubic decimeter
RELATED INFORMATIONS
- 1. If the positive numbers a, B and C form an equal ratio sequence with a common ratio greater than 1, then when x > 1, logax, logbx, logcx () A. B. the reciprocal of each number is in turn in turn in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order in order
- 2. How much is sin20 - cos20? What are the steps The result is a number. Keep four significant numbers
- 3. The distance from the known moving point m to the fixed point (1,0) is less than the distance from m to the fixed line x = - 2 by 1 (1) Verification: the trajectory of m point is a parabola, and its trajectory equation is obtained; (2) As we all know, if passing through any point P on the circle and making any mutually perpendicular strings PA and Pb, then the string AB must pass through the center of the circle (fixed point). Inspired by this, the following problems are studied: 1. If passing through the vertex o of the parabola in (1) and making any mutually perpendicular strings OA and ob, does the string AB pass through a fixed point? If passing through a fixed point (set as Q), ask for the coordinates of point Q, Research: for parabola y ^ 2 = 2px, is there such a property? Please give a general conclusion and prove it It is known that positive term sequence {an} satisfies: A1 = 2, and an + 1 = (2An) / ((an) + 2) 1. It is known that the sequence {1 / an} is an arithmetic sequence, and the general term formula of the sequence {an} is obtained 2. Let Sn = A1 / 3 + A2 / 4 + A3 / 5 + +(an) / (n + 2). Find SN
- 4. Let set I = {1,2,3,4,5,6}, set a be contained in I, and set B be contained in I. If a contains three elements, B contains at least two elements, and all books in B are not less than the largest number in a, then how many groups of sets a and B satisfy the condition?
- 5. cosπ|3-tanπ|4+3|4tan²π|6+cos²π|6-sinπ|4
- 6. tan(-150°)cos(-570°)cos(-1140°)/cot(-240°)sin（-690°)
- 7. If sin (α + β) / sin (α - β) = A / B, then Tan α / Tan β = () Please give me the solution
- 8. If sin a / sin B = C, then a / b =? RT
- 9. Example 4. As shown in the figure, in the plane rectangular coordinate system, there is a line segment AB, where a (6,9 / 2), B (6,0). (1) take the origin o as the quasi center, enlarge AB to 2 times, And the corresponding line CD is on the left side of the y-axis (2) Under the condition of (1), translate the position like center upward along the y-axis, and record it as P, so that the corresponding point D of a after translation is on the x-axis, then what is the length of OP? (3) What do you find in the calculation of 1 / AB + 1 / CD and 1 / op in question (2)? If the magnification of a and B coordinates are changed, is the conclusion still valid?
- 10. In the plane rectangular coordinate system, it is known that the two ends of the line AB are a (- 4, - 1), B (1,1), respectively. After translating the line AB, we get the line a ′ B ′ If the coordinate of a 'is (- 2,2), then the coordinate of B' is ()
- 11. How to calculate sin15 ° times sin30 ° times sin75 Explain how to make 15 and 75
- 12. Simplification: sin30 ° sin60 − tan60 °=______ ．
- 13. A square is divided into four equal rectangles. If the perimeter of each small rectangle is 50 cm, how many cm is the perimeter of the square?
- 14. The circumference of a square piece of paper is 96 cm. Cut it into two identical rectangles. How many cm is the circumference of each rectangle
- 15. Increase one side of a square by 1 / 3 and the other side by 1 / 4, the perimeter of the rectangle is 96 cm, which is the perimeter of the original square
- 16. The perimeter of a rectangle is 52cm, and the ratio of length to width is 8:5. What is the area of the rectangle? Urgent need
- 17. The length and width of a rectangle are two different prime numbers. The perimeter of the rectangle is 56 cm. What is the maximum area of the rectangle?
- 18. If the perimeter of a rectangle is a & nbsp; cm, and the width ratio is 3 cm, the length of the long side of the rectangle is () A. （a+3）÷4B. （a+a×2）÷2C. （a÷2-3）÷2D. （a÷2+3）÷2
- 19. The circumference of a rectangle is 30cm, the ratio of length to width is 5:1, the length is () cm, the width is () cm, and the area is () square cm
- 20. Given that the area of a square is equal to 5, find the perimeter of the square