Round 0.10857143 to the nearest tenth place

0.1

Step-by-step explanation:

When we examine the digits, we can see that there is a "0" in the hundreth place. Since we are rounding to the tenth place and "0" is our determining digit, all other digits proceeding 0.10 are not needed. Rounding gives us 0.1 as our answer.

  7 inches

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)bh

Filling in the given values, we can solve for h.

  45.5 = (1/2)(13)h

  45.5/6.5 = h = 7

The height of the triangle is 7 inches.

Comment on the geometry

If you work the problem by computing the length of KM, then the length of LM, you will get a different answer. The area of the triangle shown is actually about 46.76 square inches. In other words, the numbers describing this geometry are inconsistent, so will give inconsistent answers if you work the problem different ways.