## Determine the length of the diagonal, Mathematics

Assignment Help:

A box is 30 cm long, 8 cm wide and 12 cm high. Determine the length of the diagonal AB ? Round to the nearest tenth. a. 34.5 cm

b. 32.1 cm

c. 35.2 cm

d. 33.3 cm

d. This problem needs two steps. First, determine the diagonal of the base of the box. Second, using this value, determine the length of the diagonal AB . To determine the diagonal of the base, use 30 cm as a leg of a right triangle, 8 cm as the second leg, and answer for the hypotenuse. Using the Pythagorean theorem, 302 + 82 = c2; 900 + 64 = c2; 964 = c2; c = 31.05. Now consider this newly get value as a leg of a right triangle, 12 cm as the second leg, and simplfy for the hypotenuse, A B ; 31.052 + 122 = AB2; 964 + 144 = AB2; 1,108 = AB2. AB = 33.3. If you select a, you used 30 and 12 as the calculation of the legs. If you select b, you answer the ?rst triangle correctly; however, you used 8 as the measure of one leg of the second triangle, which is incorrect.

#### Pre-calculus, Give all solutions between o degree and 360 degree for sin x=...

Give all solutions between o degree and 360 degree for sin x=3/2

#### #title., Julia must do a 70:30 split of all of her profits with the Departm...

Julia must do a 70:30 split of all of her profits with the Department of Athletics. Julia also has the ability to sell soft drinks. If she decide to sell soft drinks, she must agre

#### Find the area of shaded region, Find the area of shaded region, if the side...

Find the area of shaded region, if the side of square is 28cm and radius of the sector is ½ the length of side of square.

#### Calculus, I need an explanation of "the integral, from b to a, of the deriv...

I need an explanation of "the integral, from b to a, of the derivative of f (x). and, the integral from a to b. of the derivative of f(t) dt.

#### Basic operations for complex numbers, Now we have to discuss the basic oper...

Now we have to discuss the basic operations for complex numbers. We'll begin with addition & subtraction. The simplest way to think of adding and/or subtracting complex numbers is

#### John and charlie have a whole of 80 dollars he has x dollar, John and Charl...

John and Charlie have a whole of 80 dollars. John has x dollars. How much money does Charlie have? This problem translates to the expression 42 + (11 - 9) ÷ 2. Using order of o

#### Construction, draw a equilateral triangle with length of side 6.5 cm. and l...

draw a equilateral triangle with length of side 6.5 cm. and let us draw a parallelogram equal in area to that triangle and having an angle 45 degree

4x+8=32

What is cos 30

#### Partial Differential Equation, Consider the wave equation u_tt - u_xx = 0 w...

Consider the wave equation u_tt - u_xx = 0 with u(x, 0) = f(x) = 1 if -1 Please provide me a detailed answer. I had worked the most part of this question and the only I would like  