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: Table 3
A table of values x and y represents a linear function,
if the change in x is always proportional with the change in y:
For example:
x changes from 1 to 2, y changes from -3 to -5
that is, a change of 1 in the x-es, is a change of +2 in the y's.
x changes from 2 to 4, y changes from -5 to -9
that is, a change of 2 in x, is a change of +4 in the y's.
1, 2 and 2, 4 are proportional
Another way we can check that Table 3 is the only one representing a linear function, is the constant change in y:
as x takes the values : 1, 2, 3, 4, y becomes -3, -5, -7, -9
that is, a constant change of 1 in the x-es, means a constant change of +2 in the y's
Answer:
slope = -1
Step-by-step explanation:
-2 - (-6) / 3 -7
4 / -4
-1
hope this helps :)
Answer:
wanna be friends
Step-by-step explanation:
Answer:
1 min : 12 min
Step-by-step explanation:
To simplify the given ratio, convert both to the same unit of time.
1 hour = 60 minutes
3 hours = 3 x 60 minutes
= 180 minutes
So that,
15 min : 3 hours = 15 min : 180 min
divide through by 15 to have;
15 min : 180 min = 1 min : 12 min
Thus the simplified form of the number give is 1 min : 12 min.