Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (4, 1.2)
Point (10, 6)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute [SF]:

- Subtract:

- Divide:

Answer:
4. Z ≈ 46.1°
5. T ≈ 45.2°
6. F ≈ 15.0°
Step-by-step explanation:
4.
We need to use the Law of Sines, which states that for a triangle with legnths a, b, and c and angles A, B, and C:

Here, we can say that ZY = a = 30, X = A = 110, XY = b = 23, and Z = B. Plug these in to find Z:


Solve for Z:
Z ≈ 46.1°
5.
Use the Law of Sines as above.


Solve for T:
T ≈ 45.2°
6.
Again, use the Law of Sines as before.


Solve for F:
F ≈ 15.0°
Given:
Composite figure
To find:
The shapes in the composite figure.
Solution:
The image splitted into three shapes.
- Draw a line from top vertex to bottom vertex.
- We get one triangle.
- Similarly, draw another line adjacent to the previous line.
- We get another triangle and rectangle.
Therefore a composite figure divided into a rectangle and two triangles.
Step-by-step explanation:
The answer is definitely 2.
which is 30 cm
The rock will hit the ground when y=0, so we need to solve this equation for its roots. To do that, we set it equal to 0:

Divide everything by -0.005 to clear out the decimals:

Now use the quadratic formula:


or

We want the larger x value since the smaller one is when the rock will reach the top of the hole.