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Usimov [2.4K]
2 years ago
12

BlRound 4 112 to the nearest thousand​

Mathematics
1 answer:
Natali5045456 [20]2 years ago
3 0

Answer:

4,000 is your answer

Step-by-step explanation:

4,112 the 1 is lower than 5 so 0 them out

4,000

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A rectangular garden must have a perimeter of 160 feet and an area of at least 1300 square feet. Describe the possible lengths o
Morgarella [4.7K]

Answer: The lengths of the garden are 57.32 feet and 22.68 feet (approximately)

Step-by-step explanation: The area has been given as 1300 which means,

Area = L x W

1300 = L x W ———(1)

Also the perimeter has been given as 160, hence we also have

Perimeter = 2(L + W)

160 = 2(L + W)

80 = L + W ———(2)

From equation (2), make L the subject of the equation

L = 80 - W

Substitute for the value of L into equation (1)

1300 = L x W

1300 = (80 - W) x W

1300 = 80W - W^2

Rearranging the equation we now have;

W^2 - 80W + 1300 = 0

Since we cannot factorize we shall apply the quadratic equation formula to solve for W. Please refer to the attachment for details of this.

Having calculated the value of W to be either 57.32 or 22.68, we can now find the value of L as follows;

Substitute for the value of W into equation (1)

1300 = L x W

1300 = L x 57.32

Divide both sides of the equation by 57.32

22.68 = L.

(Note that if we take the other value of W which is 22.68, the value of L shall be 57.32)

Since the area of the rectangular garden must be AT LEAST 1300 square feet we shall use the exact values for;

Length = 57.32 feet

Width = 22.68 feet

3 0
3 years ago
Read 2 more answers
What is the equation of a circle centered at the origin with radius 20.. i cant find the answer and i even tried?
KIM [24]
General equation of a circle with centre (h, k) is given by:

(x - h)^{2} + (y - k)^{2} = r^{2}

Now, the origin is the centre and radius is 20, so substituting these points in yields:
x^{2} + y^{2} = 20^{2}
x^{2} + y^{2} = 400
4 0
3 years ago
Read 2 more answers
Hey! A step by step explanation on this would be great! Thanks!<br> (25 Points)
kicyunya [14]

Step-by-step explanation:

We find the stationary point of (20 + 2x)(1200 - 60x),

where x is the unit rate of increase/decrease.

d/dx [(20 + 2x)(1200 - 60x)]

= d/dx (-120x² + 1200x + 24000)

= -240x + 1200.

When d/dx [(20 + 2x)(1200 - 60x)] = 0,

We have -240x + 1200 = 0. => x = 5.

Price per shirt that maximise revenue

= $20 + $2x = $20 + $2(5) = $30.

Maximum revenue

= (20 + 2(5))(1200 - 60(5))

= $30 * 900 = $27,000.

6 0
2 years ago
Using the image above, what is the measure of Angle J? Round to the nearest hundredth
Brilliant_brown [7]

Answer:

<u>∠J = 31.06°</u>

Step-by-step explanation:

Taking the inverse sin function :

  • sin ∠J = 1.6/3.1
  • J = sin⁻¹ (0.516)
  • <u>∠J = 31.06°</u>
5 0
1 year ago
Can you guys help me on this math problem
Margarita [4]
I think 47 but i might b wrong lol
5 0
2 years ago
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