Recall:
The
tan of the measure of an angle is the ratio of the opposite side to the adjacent side to that angle, that is :

.
Since this ratio is 3/y, we denote the opposite side, and adjacent side respectively by 3 and y.
(Technically we should write 3t and yt, but we try our luck as we see y in the second ratio too!)
Similarly,

.
The adjacent side is already denoted by y, so we denote the length of the hypotenuse by z.
Now the sides of the right triangle are complete.

Answer: A
Answer:

Step-by-step explanation:
The nth term of a geometric sequence is given by the following equation.

In which r is the common ratio.
This can be expanded for the nth term in the following way:

In which
is the first term.
This means that for example:

So




Then

Answer:
y=-3x-12
Step-by-step explanation:
Plug into equation y=mx+b
3=(-3)-5+b
Simplify
3=15+b
Subtract 15 from both sides
-12=b
Add slope and y-intercept into base equation
y=-3x-12
Answer:
<h3><u>Question 7</u></h3>
<u>Lateral Surface Area</u>
The bases of a triangular prism are the triangles.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).

<u>Total Surface Area</u>
Area of the isosceles triangle:

Total surface area:

<u>Volume</u>

<h3><u>Question 8</u></h3>
<u>Lateral Surface Area</u>
The bases of a hexagonal prism are the pentagons.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).

<u>Total Surface Area</u>
Area of a pentagon:

where a is the side length.
Therefore:

Total surface area:

<u>Volume</u>

So if it is 60 miles per hour it is basically 60 miles per 60 minutes.
when you simplify it, it is going to be 1/1=1 The answer is 1 mile per minute