If B (Tan a sin a + cos a) = a (Tan B sin B + cos b) in △ ABC, then the shape of the triangle is______ I have proved that sin ^ a = sin ^ B, but the answer is isosceles or right triangles. How does this right angle come out? Please advise,

If B (Tan a sin a + cos a) = a (Tan B sin B + cos b) in △ ABC, then the shape of the triangle is______ I have proved that sin ^ a = sin ^ B, but the answer is isosceles or right triangles. How does this right angle come out? Please advise,

If your proof goes on: sin ^ 2A = sin ^ 2B, sin ^ 2a-sin ^ 2B = 0, (Sina + SINB) (Sina SINB) = 0, ∵ Sina + SINB > 0, ∵ Sina SINB = 0, ∵ isosceles triangle] either the answer is wrong, or you have some omissions. Let's suppose the answer is right, and see where your omissions are

A bag of rice is 50kg. If you plan to eat it in 15 days, how many parts of it will be eaten in 10 days? How to solve this problem

[50÷15×10]÷50
=[(10/3)×10]÷50
=(100/3)×(1/50)
=2/3

The weight of a bag of rice is 50 kg. 22 kg has been used. How many parts of this bag of rice are used and how many parts are left

22/50=11/25
1-11/25=14/25
11 out of 25 of this bag of rice is used, and 14 out of 25 are left

A bag of 50 kg rice finished 15 kg, the rest of the total weight of how many?

(50-15)/50=7/10

A bag of rice is 25 kg. How many kg have you eaten? What percentage of the bag of rice is left?

25x2 / 5-3 / 5 = 47 / 5kg
（25-47/5）÷25=78/125

A bag of rice has 5 kg, eating 1 / 4 kg, eating this bag of rice how many?

1/4÷5= 1/20
I ate one twentieth of this bag of rice

There are two bags of rice. The first bag weighs 25 kg. If 5 / 1 of the first bag is taken out and poured into the second bag, the two bags are the same weight. How much is the second bag
It's 1 / 5. I accidentally hit it backwards

5 / 1 in the title means 1 / 5
If 1 / 5 of the rice from the first bag is poured into the second bag, it can be seen that the weight of the second bag is as heavy as the original 1-1 / 5 = 4 / 5 of the first bag, so the original weight of the second bag is 25 * (1-1 / 5) - 25 * 1 / 5 = 15kg

Two questions: (1) if a bag of rice is 25 kg, two fifths of the bag of rice will be poured out, how many parts will be left? How many kg will be poured out? How many kg will be left?
(2) : the engineering team is going to build a three fifths canal. On the first day, it will build one eighth of the total length. How many kilometers will it build on the first day? On the second day, it will build three fourths of the total length on the first day. On the second day, how many kilometers will it build?

(1) The remaining 1-2 / 5 = 3 / 5, pour out 25x2 / 5 = 10 (kg) and the remaining 25-10 = 15 (kg)
（2）3/5x1/8=3/40(km) 1/8x3/4=3/32 3/40x3/4=9/160(km)

If the difference between two numbers is two digits of the same number and their product is three digits of the same number, what are the two natural numbers

These two natural numbers can only be 37 and 15
First of all, consider that the product is a three digit number with the same number, such numbers are 111, 222, 333, 444, 555
By factoring the quality factor into consideration, it is impossible for the difference to be too small or too large to be two digits of the same number
555=3×5×37
37-15=22
So these two natural numbers can only be 37 and 15

With the four numbers of 0, 1, 2 and 3, we can form one digit, two digit, three digit and four digit numbers. There are many natural numbers like this (in a number, each number is only used once), among which the natural numbers are multiples of 3______ One

In one digit, there are two multiples of 3; in two digit, there are three multiples of 3; in three digit, there are 10 multiples of 3; in four digit, there are 3 × (3 × 2 × 1) = 18 multiples of 3; a total of 2 + 3 + 10 + 18 = 33; so the answer is: 33