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:
20
Step-by-step explanation:
The ratio is 3:5, so 3x4 equals 12, then 5x4=20.
Answer:
4x2y2−12y
Step-by-step explanation:
Write the problem as a mathematical expression. ( x y 2 x − 3 y ) ⋅ 4 Multiply x by x by adding the exponents. ( x 2 y 2 − 3 y ) ⋅ 4 Simplify by multiplying through. 4 ⋅ ( x 2 y 2 ) − 12 y Remove parentheses. 4 x 2 y 2 − 12 y
Answer:
x = 
Step-by-step explanation:
Since l bisects PQ at M then M is the midpoint of PQ, hence
PM = MQ, that is
5x - 7 = 11 - 2x ( add 2x to both sides )
7x - 7 = 11 ( add 7 to both sides )
7x = 18 ( divide both sides by 7 )
x = 