Pythagorean theorem in 3D

What is the length of the diagonal, d, of the rectangular prism shown below?

d = 6.997 or 7

Step-by-step explanation:

Use Pythagorean Theorem to find the diagonal of the end of the prism

2^2 + 3^2 = C^2     Simplify

4 + 9 = C^2             Add

13 = C^2                  Take the square root of both sides

3.6 = C

Now plug this into the Pythagorean Theorem equation for the diagonal of the whole prism.

3.6^2 + 6^2 = d^2     Simplify

12.96 + 36 = d^2       Add

48.96 = d^2               Take the square root of both sides

6.997 = d                   This can be rounded up to 7, if needed

80%

step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.