Arectangular bookcase 60 inches long and 30 inches wide. how long is the diagonal? round to the nearest inch.
a.
52 inches
b.
67 inches
c.
76 inches
d.
81 inches

B.   67 inches

Step-by-step explanation:

We know that the interior angle in a rectangle is .

Therefore, the triangle made by diagonal is a right triangle, where diagonal is hypotenuse (side opposite to   )

Let the length of the diagonal be x.

By Pythagoras theorem of right triangle, we have

Hence, the length of the diagonal = 67 inches

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

ask for details followreport by buttfacelily 2 minutes ago

answers

rauschg

rauschg · hand

know the answer? add it here!

step-by-step explanation:

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870