Answer:
x = 77.8 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
∅ = 40°
opposite leg of angle = 50 ft
hypotenuse = x ft
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: sin40° = 50/x
- Multiply <em>x </em>on both sides: xsin40° = 50
- Divide sin40° on both sides: x = 50/sin40°
- Evaluate: x = 77.7862
- Round: x = 77.8 ft
First, solve the inequality:

Since x is <u>greater than</u> -8, you have the arrow point up the graph towards the positive side starting at -8.
Since it's greater than but not equal to -8, the circle is open.
Thus your graph is
D.
Answer:
Yes
Step-by-step explanation:
A for loop basically relies on repeating the same code for a pre-set number of times. During which you can make any code repeat inside of it, including indexing through a type of list. Many times a for-loop will use the indexes in a list to calculate the number of times that the loop has to repeat. This is usually done in order to search or apply changes in an array of other types of data structures that have countless values stored in it.
9514 1404 393
Answer:
- Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
- Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
- Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
- Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
- Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}
Step-by-step explanation:
"Alternate" means the angles are on opposite sides of the transversal.
"Consecutive" means the angles are on the same side of the transversal. Sometimes, these are called "same-side" angles.
"Exterior" means the angles are outside the parallel lines.
"Interior" means the angles are between the parallel lines.
"Corresponding" means the angles are in the same direction from the point of intersection.
- Alternate Exterior Angles: {(1, 11), (4, 10), (5, 15), (8, 14)}
- Corresponding Angles: {(1, 9), (2, 10), (3, 11), (4, 12), (5, 13), (6, 14), (7, 15), (8, 16)}
- Alternate Interior Angles: {(2, 12), (3, 9), (6, 16), (7, 13)}
- Consecutive Exterior Angles: {(1, 10), (4, 11), (5, 14), (8, 15)}
- Consecutive Interior Angles: {(2, 9), (3, 12), (6, 13), (7, 16)}