Answer:
90 or -270
Step-by-step explanation:
The questions are illustrations of trigonometry ratios and right triangles
- The value of x is 11.8310
- The tree is 23.3154 feet tall
- The depth of the sub is 376.7770 meters
Trigonometry ratio
Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.
<h3>Question 1</h3>
The value of x is calculated using the following sine trigonometry ratio

Make x the subject

This gives

Hence, the value of x is 11.8310
<h3>Question 2</h3>
This question is illustrated by the first diagram in the attached figure
The height (h) of the tree is calculated using the following tangent trigonometry ratio

Make h the subject

This gives

Hence, the tree is 23.3154 feet tall
<h3>Question 3</h3>
This question is illustrated by the second diagram in the attached figure
The depth (h) of the sub is calculated using the following tangent trigonometry ratio

Make h the subject

This gives

Hence, the depth of the sub is 376.7770 meters
Read more about trigonometry ratios at:
brainly.com/question/6241673
Answer:
p = 7/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
-4p + 9 = -5
<u>Step 2: Solve for </u><em><u>p</u></em>
- Subtract 9 on both sides: -4p = -14
- Divide -4 on both sides: p = 7/2
<u>Step 3: Check</u>
<em>Plug in p into the original equation to verify it's a solution.</em>
- Substitute in <em>p</em>: -4(7/2) + 9 = -5
- Multiply: -14 + 9 = -5
- Add: -5 = -5
Here we see that -5 does indeed equal -5.
∴ p = 7/2 is the solution to the equation.