The amount of orange that Manny and Josh have leftover after eating lunch is 1.
<h3>What are fractions?</h3>
A fraction is a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below
<h3>How much orange is leftover?</h3>
Oranges Manny has left = 1 - 4/9 = 5/9
Oranges Josh has left = 1 - 5/9 = 4/9
Oranges they both have left = 5/9 + 4/9 = 1
To learn more about subtraction of fractions, please check: brainly.com/question/915789
Answer:
Height of flag pole to the nearest foot is 43 feet
Step-by-step explanation:
In the diagram we have flag pole AB and C is the point on the ground.
It is given that angle of depression is 30°
and the distance of the point C from the base B is 75 feet
so we have
BC= 75 feet
∠C = 30°
AB= h feet
now in right ΔABC

now we plug AB= h , ∠C= 30° and BC =75

( multiply both sides by 75)

Height of flag pole to the nearest foot is
h= 43 feet
Answer:
5.545
Step-by-step explanation:
This problem can be easily solved by using the law of cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.
in this case, the formula can be applied in the following way
a^2 = b^2 + c^2 - 2*b*c*cos(α)
Where
a,b,c are each of the sides of the triangle,
α is the angle between sides b and c
(See attached picture)
If we use the formula we get
a^2 = (9)^2 + (6)^2 - 2*(9)(6)*cos(37°)
a^2 = 81 + 36 - 86.2526
a^2 = 30.747
a = sqrt(30.747)
a = 5.545