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:
20%
Step-by-step explanation:
125 = 5^3 = 25 * 5
The simplification you are trying to do involves finding the prime factorization of a number. Since 125 is not divisible by 2, move on to 3. 125 is also not divisible by 3, so move on to 5. Then 125/5 = 25, and 25/5 = 5, so 125 = 5^3. The prime factorization of 125 is 5^3.
Answer:
Angle ADC = 80 degrees
Step-by-step explanation:
Here, we want to find the measure of angle ADC
mathematically, sum of angles at a point is 360
Thus;
x + 3x + x + 10 = 360
5x + 10 = 360
5x = 360-10
5x = 350
x = 350/5
x = 70
From the diagram;
angle ADC is (x + 10)
so we have; (70 + 10) = 80 degrees
Standard form is Ax + By = C
Where A is a positive integer
The y needs to be moved to the left side so subtract 3y from both sides.
2x - 3y = -8
