The square of X + 96 = 240,

The square of X + 96 = 240,




In the following equation, the most suitable solution is that the square of factorization (x minus 3) plus the square of x equals 9


(x-3)²+x²=9
(x-3)²+(x-3)(x+3)=0
(x-3)(x-3+x+3)=0
2x(x-3)=0
X = 0 or x = 3



Factorization: A ^ 2-6a-16


The original formula is a-178; - 8A + 2a-16
=a(a-8)+2(a-8)
=(a-8)(a+2)



The starting price of a taxi is 10 yuan. After 3 kilometers, it will be charged at 1.5 yuan per kilometer. Xiaoming's house is 10 kilometers away from the school. If you take a taxi to rush home to the school, it will be very convenient
How much does he pay for the fare


10+1.5x(10-3)
=10+1.5x7
=10+10.5
=20.5 yuan



Given that there is an inscribed cube in the hemisphere, the ratio of the surface area of the hemisphere to the surface area of the cube is______ .


If the hemisphere is made up of the whole sphere and the inscribed cube of the original hemisphere is made up of the same cube, the cuboid is just the inscribed cuboid of the sphere, then the diagonal of the cuboid is the diameter of its circumscribed sphere



A passenger car and a freight car start from a and B at the same time and run in opposite directions. The speed of the freight car is 4 / 5 of that of the passenger car. After a quarter of the whole journey, the freight car runs 28 kilometers to meet the passenger car. How many kilometers are there between a and B


The speed ratio of truck and bus = 4 / 5:1 = 4:5
So when they meet, 4 / 9 of the truck and 5 / 9 of the bus travel
Distance between a and B = 28 / (4 / 9-1 / 4) = 28 / (7 / 36) = 144 km



Life problems?
A pool is 20 meters long, 10 meters wide and 2 meters deep. If tiles are pasted on the four walls of the pool, 40 tiles per square meter are needed. How many tiles are needed?
Is it OK to use words


Length 20 * 2 * 2 face wall * 40 pieces + width 10 * 2 * 2 face wall * 40 pieces = 3200 pieces + 1600 pieces = 4800 pieces
It only costs 4800 yuan



12. Draw the largest circle in the square. The circumference of the circle is () of the circumference of the square. Is the area of the circle () of the square?


Let the side length of the square be a, because it is the largest circle, so the diameter is a, so the perimeter of the circle is π a, and the perimeter of the square line is 4a, so the perimeter of the circle is π / 4 of the perimeter of the square, the area of the circle is a ^ 2 π / 4, and the area of the square is a ^ 2, so the area of the circle is π / 4 of the area of the square



Given that a and B are rational numbers, if a − 5 + 210 − 2A = B + 4, find the values of a and B


According to the meaning of the question: a − 5 ≥ 010 − 2A ≥ 0, the solution is: a = 5, then B + 4 = 0, the solution is: B = - 4



The original tonnage ratio of cement owned by team a and team B was 4:3. After team a gave Team B 54 tons of cement, the tonnage ratio of cement owned by team a and team B was 3:4. How many tons of cement did team a have less than team B?


4 ^ (4 + 3) = 47, 3 ^ (3 + 4) = 37, 54 ^ (47 − 37) × (47 − 37), = 54 ^ (17 × 17), = 378 × 17 = 54 (tons); a: team a had 54 tons more cement than team B