Answer:


Step-by-step explanation:
Given
See attachment for triangles
Solving (a)

The tan of an angle is:

From the given triangle.


So, we have:

Solving (b)

The cos of an angle is:

From the given triangle.


So, we have:

Answer: D) No. The graph fails the vertical line test.
Explanation:
We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).
So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.
In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.
Steps:
(n-2) * 180 = sum of interior angles
(3-2) * 180 = 180
Bottom Triangle
25 + 51 + x = 180
x = 104
Top Triangle
104 + 34 + x = 180
x = 42
Answer:
42
2.4/80 is the division sentence
Answer:
5749.3 cubic feet
Step-by-step explanation:
The volume of the storage container would be defined by the volume of the shape; a hemisphere
The volume V of a hemisphere is given as
V = 2/3 π r^3
where r is the radius of the hemisphere
Given that the diameter is 28 feet, the radius = 14 feet
hence the volume
= 2/3 * π * 14^3
= 5749.333333
To the nearest tenth
= 5749.3 cubic feet