Answer:
4
Step-by-step explanation:
Answer is 4 lb.,12 oz.
As one pound has 16 ounces.
When we convert the given 5 lb. into ounces we multiply it by 16.
5 lb = 5 x 16 oz
5 lb = 80 oz
When we subtract 4 oz from 80 oz
We get
80 - 4 = 76 oz
Which is
64 oz + 12 oz
(16 x 4) oz + 12 oz
Which will be
4 lb. + 12 oz
So the answer will be
4 lb., 12 oz.
A school principal used a bar graph to send his report. He assigned the horizontal axis to the student’s name and the vertical axis to the grades. If the x-axis (the horizontal axis) is the students name and the y-axis (the vertical axis) are the grades. There has to be multiple bar-graphs per student. Otherwise the data would be incomplete.
The fencing line x is the height of a rectangle triangle of base = y, hypothenuse of 9 m, so we use Pythagoras theorem to solve:
hyp^2 = height^2 + base^2
9^2 = x^2 + y^2
x^2 = 81 - y^2
we can see that x is also the height of another rectangle triangle of base = 15 - y, hypothenuse of 12 m, so we use Pythagoras theorem to solve:
hyp^2 = height^2 + base^2
12^2 = x^2 + (15 - y)^2
lets expand:
144 = x^2 + 225 - 30y + y^2
substitute x^2 from the first equation in the last:
144 = 81 - y^2 + 225 - 30y + y^2
144 = 81 + 225 - 30y
30y = -144 + 81 + 225
y = 5.4 m
substitute in the fence equation:
x^2 = 81 - y^2
x^2 = 81 - 5.4^2
x = 7.2 m that is the length of the fence
