The product of two primes is 94, and the sum of the two primes is______ ．

The product of two primes is 94, and the sum of the two primes is______ ．

94 = 2 × 472 + 47 = 49. That is to say, the sum of these two prime numbers is 49

It is known that 2001 is the sum of two prime numbers, then the product of these two prime numbers is______ ．

∵ if the sum of two prime numbers is odd, one of them must be odd and the other even. ∵ 2 is the only even prime number, ∵ the other prime number is 1999, and their product is 2 × 1999 = 3998. So the answer is: 3998

The sum of the two primes is 2001, and the product of the two primes is______ ．

Because the sum of two prime numbers is odd, one prime number must be odd and the other even. Because 2 is the only even prime number, the other prime number is 1999, so their product is 2 × 1999 = 3998

2^log2 1/4+(16/9)^-1/2+lg20-lg2-(log3 2)*(log2 3)+(√2-1)^lg1

=1/4+3/4+lg2+1-lg2-1+0
=1

The circumference of the bottom surface of a cone is 12.56 decimeters, the height is 6 decimeters, and its volume is () cubic decimeters

The circumference of the bottom surface of a cone is 12.56 decimeters, and the radius of the bottom surface is 12.56 △ 3.14 △ 2 = 2 decimeters
The volume is 2 × 2 × 3.14 × 6 × 1 / 3 = 25.12 cubic decimeter

Decomposition factors: (1) 4A ^ 2-1; (2) 25 (x + y) ^ 2-9 (X-Y) ^ 2; (3) 1 / 4A ^ 2 + A + 1; (4) x ^ 3-6x ^ 2 + 9x

（1）（2a+1）(2a-1); (2)(8x+2y)(2x+8y); (3)(1/2a+1)(1/2a+1); (4)(x^2-3x)(x-3).

The base and height of a triangle are two adjacent natural numbers, and the base is smaller than the height. Its area is 14 square centimeters. How many centimeters are the base and height?
If you want the formula,
It's 15 centimeters

14 × 2 = 28 square centimeter
28=4*7
From the question we get: the bottom is adjacent to the high and the bottom is less than the high
Then it satisfies the following conditions: bottom = 4, height = 7

What is the difference between an even number and a prime number?

2

A trapezoid will become a triangle if its upper bottom is reduced by 4cm, and its area will be reduced by 8cm square compared with the original trapezoid. If its upper bottom is increased by 4cm, it will become a parallelogram. What is the area of the original trapezoid?

A: the area of the original trapezoid is 24 square centimeters

As shown in the figure, △ ABC is inscribed at ⊙ o, the tangent passing through point B intersects the extension line of Ca at point E, and ∠ BEC = 90 °, point D is on the extension line of OA, Ao ⊥ BC, ∠ ODC = 30 ° (1) prove that DC is the tangent of ⊙ O. (2) if CA = 6, find the length of DC

(1) Connect the OC, as shown in the figure: ∵ Ao ⊥ BC, and O is the center of the circle, a is the midpoint of BC, that is, ab = AC, ∵ BCA = ∠ ABC, be is the tangent line, ∵ Abe = ∠ ACB = ∠ ABC, ∵ BEC = 90 °,