You need to use Pythagoras’ Theorem.
A² + B² = c² and c is the hypotenuse of the right angled triangle.
The height of the tower (5 feet) is A and the distance from the end of the cable and the base of the tower (12 feet) is B. The length of ONE cable is c. So:
A² + B² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c. This is the length of one cable.
3 x 13 = 39 therefore the total length of the cables is 39 feet.
25
Answer:
>
Step-by-step explanation:
4 is greater than 3
sqrt15 is greater than sqrt6
So 4+sqrt15 must be greater than 3+sqrt6
Answer:
-4u+2v = <-6, 34>
Step-by-step explanation:
u = <4, -7) → -4u = <-16, 28>
v = <5, 3> → 2v = <10, 6>
-4u+2v = <-16, 28> + <10, 6> = <-6, 34>
Answer:
-8 > b
Step-by-step explanation:
94<-2(1+6b)
Distribute
94<-2-12b
Add 2 to each side
94+2<-2-12b +2
96 < -12b
Divide each side by -12, remembering to flip the inequality since we divide by a negative
96/-12 > -12b/-12
-8 > b
Answer:
18
Step-by-step explanation:
6 x 3 = 18
