A square has a side length of x + 3. A regular octagon has a side length of 3x. If the polygons have the same perimeter, determine the value of x.
Answers
Answer:
x = ⅗ = 0.6
Step-by-step explanation:
A square has four equal sides.
If a square has a side length of , therefore,
Perimeter of the square =
.
Also, a regular octagon has 8 equal sides.
If it has a side length of 3x, therefore:
Perimeter of the octagon =
=
Given that the Perimeter of the rectangle and the octagon are the same, to find the value of x, set each perimeter equal to the other.
Thus:
Subtract 4x from each side
Divide both sides by 20
x = 12/20 = ⅗ = 0.6.
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If you have 6 pieces of plywoodthat are 4'x8', how many total1xl pieces can you get out ifyou use all of them?
Last one answer please
Answers
Answer:
and
Step-by-step explanation:
Let x be the altitude of a commercial aircraft
=>The expression " A minimum altitude of 29,000 feet" is equal to
All real numbers greater than or equal to 29,000 ft
=>The expression " A maximum altitude of 41,000 feet" is equal to
All real numbers less than or equal to 41,000 ft
therefore, The compound inequality is equal to
and
All real numbers greater than or equal to 29,000 ft and less than or equal to 41,000 ft
The solution is the interval [29,000,41,000]
Answers
Answer:
1:4
Step-by-step explanation:
Thats it
Answer:1/4
Step-by-step explanation:
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > −4x − 1
y is less than 3 over 2 times x minus 1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area.
Part B: Is the point (−1, −1) included in the solution area for the system? Justify your answer mathematically.
Answers
A) the graph is a linear and the slope is negative and positive .
B) (-1,-1) is not a solution because that point does not appear in the shaded region, therefore there is no solution.
:D
Answers
answer:
To round 813,763 to the nearest ten thousand, we look at the digit in the ten thousand place. In this case, the digit in the ten thousand place is 3.
If the digit in the ten thousand place is 0, 1, 2, 3, or 4, we round down to the nearest ten thousand. Since 3 is in the range of 0 to 4, we round down.
To round down, we keep the digits to the right of the ten thousand place as 0. Therefore, when we round 813,763 to the nearest ten thousand, the answer is 810,000.
So, 813,763 rounded to the nearest ten thousand is 810,000.
Alli <3
Answers
2 x + 3y = -4
- 2 x - 2 y = - 2
2 x + 3 y = - 4
_______________
y = - 6
Subsititute y = - 6
2 x + 3 y = - 4
2 x + 3 * (-6) = -4
2 x - 18 = - 4
2 x = - 4 + 18
2 x = 14
x = 14 / 2
x = 7
The solution to the system of equations are:
x = 7 and y = - 6
hope this helps!
Write an equation for the line in slope-intercept form.
Answers
Answer:
y = –3x – 6
Step-by-step explanation:
We'll begin by obtaining the slope of the equation y = –3x – 2.
This can be obtained by comparing
y = –3x – 2 with y = mx + c
Thus, the slope (m) of the equation
y = –3x – 2 is –3.
Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.
This is illustrated below:
For parallel lines, the slope are related as follow:
m1 = m2
m1 = –3
m2 = m1 = –3.
Finally, we shall determine the equation as follow:
Coordinate = (–3, –3)
x1 coordinate = –3
y1 coordinate = –3
Slope (m) = –3
y –y1 = m(x – x1)
y – (–3) = –3 (x – (–3))
y + 3 = –3 (x + 3)
y + 3 = –3x – 3
Rearrange
y = –3x – 3 – 3
y = –3x – 6
Thus, the equation parallel to the line is y = –3x – 6