Pytagorean theorem
height10
attached at 10-4=6 yards from bottom
8 yards from base to away
a^2+b^2=c^2
a and b are side legnths and c=hypotonuse
so therfore we are given a and b and we must solve for c
so
6=height
8=base
6^2+8^2=c^2
36+64=c^2
100=c^2
square root
10=c
so therfor the legnth of each cable is 10 yards
3 cables so 3 times 10=30
30 yards needed
It's D. Anything greater than or equal to -2 makes the function true
107/6
Step-by-step explanation:
3x+1+3x=108
6x=108-1
6x=107
x=107/6
Answer:
480 in³
Step-by-step explanation:
Volume of a right rectangular prism = width x length x height
Let a = right rectangular prism with dimensions 8 x 4 x 2 in
Let b = right rectangular prism with dimensions 6 x 2 x 24 in
⇒ volume a = 4 x 8 x 2 = 64 in³
⇒ volume b = 6 x 24 x 2 = 288 in³
⇒ total volume = 3a + b
Substituting found values for a and b:
⇒ total volume = 3(64) + 288
= 192 + 288
= 480 in³
