Answer:
1. x >/= -1
2. x < 4
3. x </= -1
4. x >/= -2
5. x < -3
6. x </= 7
Step-by-step explanation:
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The area of a regular hexagon with an apothem 18.5 inches long and a side 21 inches is 1, 165. 5 In²
<h3>
How to calculate the area of a regular hexagon</h3>
The formula is given thus;
Area of hexagon = (1/2) × a × P
where a = the length of the apothem
P = perimeter of the hexagon
Given a = 18. 5 inches
Note that Perimeter, p = 6a with 'a' as side
p = 6 × 21 = 126 inches
Substitute values into the formula
Area, A = 1 ÷2 × 18. 5 × 126 = 1 ÷2 × 2331 = 1, 165. 5 In²
Thus, the area of the regular hexagon is 1, 165. 5 In²
Learn more about the area of a hexagon here:
brainly.com/question/15424654
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The rate for 40 meters in 10 seconds is
40m/10sec (40 meters per 10 seconds)
You can turn it into a different unit of measurement by multiplication or division.
For example, if you want the rate in 1 second, you divide both units by 10 (because there are 10 seconds, and 10 ÷ 10 = 1).
40m/10sec then becomes
4m/1sec (4 meters per 1 second)
40 ÷ 10 = 4, and 10 ÷ 10 = 1
Or if you'd like it in minutes, you multiply both units by 6 (because there are 60 seconds in 1 minute, and 6 x 10 = 60).
40m/10sec becomes
240m/60sec = 240m/1min
40 x 6 = 240, 10 x 6 = 60 = 1 minute
Answer:
Step-by-step explanation:
Step 1: rewrite the equation of the given line in to slope-intercept form by solving for y
3y + 5x = 6
3y = -5x + 6 (subtract 5x from both sides)
y = -(5/3)x + 2 (divide both sides by 3)
Step 2: Our line is parallel to this line, so it has the same slope, and a
y-intercept of 4, so we have...
y = -(5/3)x + 4
*slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept,
