Answer:
Q7. 11.3 inches (3 s.f.)
Q8. 96.2 ft
Q9. 36.4cm
Step-by-step explanation:
Q7. Please see attached picture for full solution.
Q8. Let the length of a side of the square be x ft.
Applying Pythagoras' Theorem,
Thus, the perimeter of the square is
Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.
Since the perimeter of the equilateral triangle is 126cm,
length of each side= 126÷3 = 42 cm
The green line drawn in picture 3 is the altitude of the triangle.
Let the altitude of the triangle be x cm.
sin 60°=
(to 3 s.f.)
Therefore, the length of the altitude of the triangle is 36.4cm.
Answer:
d = 20.6 miles
Step-by-step explanation:
Given that,
Two sales representatives leave from the same office. One travels 20 miles due north and the other travels 5 miles due west.
It is required to find the distance between two representatives. It it is d. It can be calculated as the resultant if two values as follows :
So, the sales representative are 20.6 miles apart. Hence, the correct option is (c).
Answer:
3,5,7,9,11
Step-by-step explanation:
You would put the whole numbers in order as n and solve
1. 1*2+1 = 3
2. 2*2+1 = 5
3. 3*2+1 = 7
4. 4*2+1 = 9
5. 5*2+1 = 11
You would notice that the numbers are odd numbers in order
Five plus 4 multiplied by 12