Find the length of a rectangular lot with a perimeter of 140 meters if the length is 4 meters more than the width. (P = 2L + 2W)
Answers
The width of the rectangular lot is 33 meters and the length of the rectangular lot is 37 meters.
Let, the width of the rectangular lot is W meters.
According to the problem, the length of the rectangular lot is 4 meters more than the width, so the length would be (W + 4) meters.
Now, we can use the formula for the perimeter of a rectangle:
Perimeter = 2 * Length + 2 * Width
Given that the perimeter is 140 meters, we can set up the equation:
140 = 2 * (W + 4) + 2 * W
Now, solve for W:
140 = 2W + 8 + 2W
Combine like terms:
140 = 4W + 8
Subtract 8 from both sides:
132 = 4W
Finally, divide by 4:
W = 33
So, the width of the rectangular lot is 33 meters.
Now, we can find the length:
Length = Width + 4
Length = 33 + 4
Length = 37
Therefore, the length of the rectangular lot is 37 meters.
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the length is 37 and the width is 33 if you add 33+33+37+37 you get 140
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Solve for x: x − 2 > 2x + 12.x > 14 x < 14 x > −14 x < −14
Jenna got 12,or 3/5, of her answers on the test right. How many questions were on the test?
Answers
present = (95) x (0.93) = 88.35
Thus, there are only 88 persons present.
Answers
Hope this helped!
Which equals 1√13.
a = 10
b = 3
C = 15°
(Hint: c^2 = a^2 +b^2 - 2ab*cos(C) is law of
cosine)
Answers
Answer:
Measure of side C is 7.14
Step-by-step explanation:
In this question, we are to find the length of the side C.
To get this, we are to employ the use of the cosine formula.
Mathematically, this is calculated as;
c^2 = a^2 +b^2 - 2ab*cos(C)
Where; a = 10 b = 3 and c = 15 degrees
Plugging these values into the equation, we have;
C^2 = 10^3 + 3^2 -2(3)(10)Cos 15
C^2 = 100 + 9 - 57.96
C^2 = 51.04
C = √(51.04)
C = 7.14
Answer:
7.14
Step-by-step explanation:
Answers
Answer: $16
Step-by-step explanation:
Given: Marie has renters insurance that she must pay twice a year.
The amount of each payment = $96
So, the total payment in the year =
Since, in one year = 12 months
Therefore, the amount of money she should set aside each month to cover her renters insurance=
Hence, She should set aside $16 each month to cover her renters insurance.
$192/(12 months) = $16 per month (she should set aside)
Answers
Answer:
x = 10, y = 20
Step-by-step explanation:
Because this is a geometric sequence, we'll call the rate of change z. Because 40 is 3 terms away from 5, we can write 5 * z * z * z = 5z³ = 40.
z³ = 8 → z = 2
Now, we simply multiply 5 by 2 to get x, which is 10, and then we multiply x by 2 to get 10 * 2 = 20 for y. Hope this helps!
Final answer:
To find the values of x and y in the given geometric progression, we use the concept of a common ratio. By setting up equations based on the definition of a geometric progression, we can solve for x and y. In this case, x is 10 and y is 20.
Explanation:
To find the values of x and y in the given geometric progression, we need to identify the common ratio between the terms. In a geometric progression, each term is obtained by multiplying the previous term by the common ratio. Therefore, we have:
- 5 * r = x
- x * r = y
- y * r = 40
From the first equation, we can substitute x as 5 * r in the second equation:
5 * r * r = y
Then, we substitute y as 5 * r * r in the third equation:
5 * r * r * r = 40
Simplifying the equation, we get:
r^3 = 40/5 = 8
Taking the cube root of both sides:
r = 2
Substituting this value of r back into the equations, we find that x = 10 and y = 20.
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Answers
Now we can back to 12:1 - its the result