How many number are their between 4,000 and 10,000 such that each digit in number is larger than digit on its left but its smaller than digit on its right?
sample 4569
how many number?

Total of 14

Step-by-step explanation:

so you want numbers like 4567 (smallest)

through 6789 (largest)?

4567, 4568, 4569

4578, 4579

4589

4678. 4679,

4789

5678, 5679

5689

5789

6789

Hope I was able to help!!

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

ou would have 12 of each