Answer:
1. 15
2. 27
3. 4
4. 72
5. 2
6. 9
7. 1
Step-by-step explanation:
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:
1. 52° + x° + 67° = 180°
2. x° + 22° = 90°
Step-by-step explanation:
1. In the first figure,
Since the angles given are supplementary angles i.e. their sum is 180°
So, we get,
52° + x° + 67° = 180°
i.e. x° = 180° - 119°
i.e. x° = 61°
Thus, the expression to find the value of x is 52° + x° + 67° = 180°.
2. In the second figure,
Since the angles given are complementary angles i.e. their sum is 90°
This gives us,
x° + 22° = 90°
i.e. x° = 90° - 22°
i.e. x° = 68°
Hence, the expression to find the value of x is x° + 22° = 90°
511/8-243/4
511/8-486/8=25/8
Answer:
A) There are 8 possible combinations
Step-by-step explanation:
(1 x 4) + (1 x 4) = 8