Kylie needs to pack her baton for a
color-guard competition. The baton
is 38 inches long. She has a rectangular
box with a base of 13 inches by 35
inches and a height of 13 inches.
Part A
Could the baton lie flat on a diagonal
along the base of the box ? Explain.
Part B
Could the baton fit along the interior
diagonal of the box? Explain.

Step-by-step explanation:

For A, we would need to use the Pythagorean theorem. We have 13^2+35^2=38^2. Is this true? No It is not, 13^2 + 35^2 = 1394. The square root of that is about 37.3, so it does not fit.

For B, we would need to use the Pythagorean theorem again, but in a different way . We would need to find 13^2 + 35^2, and then square root that. That would be our base of our right triangle. The height would be 13, and we use the Pythagorean theorem again! We get 169+1394=1563. The square root of 1563 is about 39.5, so it does fit.

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b