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Olegator [25]
3 years ago
8

The perimeter of a rectangle is 4040 yards. what are the dimensions of the rectangle with maximum area?

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0
Let x be the length and y be the width2x + 2y = 40x + y = 20change that into y = mx + b formy= 20 – x
Area =xy = x (20-x) = 20x - x^2Area=-x^2+20xcomplete the square:Area=-(x^2 – 20x + 100) +100=-(x - 10)^2 + 100This is an calculation of a parabola that opens downward with vertex at (10,100), which means maximum area of 100 happens when x, the length=10)Dimensions of the rectangle with maximum area? 10 yds. by 10 yds., a square.
You might be interested in
Liam's breakfast was an egg and cheese biscuit with a carton of milk. He spent a total of $5.65. Finn spent $7.65 on an egg and
ruslelena [56]

Answer:

An egg and cheese biscuit was $3.65.

Step-by-step explanation:

Liam's breakfast was:

P = E + C + M

Where:

P: total price

E: egg

C: cheese biscuit

M: carton of milk  

P = E + C + M

5.65 = E + C + M   (1)

Now, Finn's breakfast was:

P = E + C + 2*M

7.65 = E + C + 2*M   (2)      

By subtracting equation (2) from (1) we have:

7.65 - 5.65 = 2M - M

M = 2

Hence, the price of a carton of milk is $2, so by entering this value into equation (1) we can find the price of an egg and cheese biscuit:

5.65 = E + C + M

5.65 - 2 = E + C

E + C = 3.65

Therefore, an egg and cheese biscuit was $3.65.

I hope it helps you!

7 0
3 years ago
Non proportional or proportional
Elan Coil [88]
Non proportional it should be
4 0
3 years ago
Help pls not graded test
Arte-miy333 [17]

The missing angle of the given triangle  is 59°.

What is vertically opposite angles?

  Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.

Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,

⇒ 49°+31°+x = 180°

⇒ 80° + x= 180°

⇒x= 180°-80°=100°

Then unknown angle in triangle 1 ia 100°.

Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,

In triangle 2 angle is 100° and 21°. Then missing angle is,

⇒ 100°+21°+missing angle =180°

⇒Missing angle = 180°-100°-21°

⇒Missing angle = 59°

Therefore the answer is 59°.

To learn more about Vertical angle ,

brainly.com/question/18450499

#SPJ13

3 0
1 year ago
Base of a prism is a right triangle with legs 3 feet and 4 feet. The height is 13 feet , what is the volume?
julsineya [31]

Answer:

Triangular prisms

Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h

Step-by-step explanation:

4 0
2 years ago
Find the volume in cubic meter (C.U.M) of each of the cuboid whose dimensions are :
Leno4ka [110]

The volume in cubic meter of the cuboid with the dimensions length = 12 m , breadth = 10m, height = 4.5 m is 540 m³

<h3 />

<h3>Volume of a cuboid:</h3>
  • v = lwh

where

l =- length

w = width

h = height

Therefore,

l = 12 m

w = 10 m

h = 4.5

v = 12 × 10 × 4.5

v = 120 × 4.5

v = 540 m³

learn more on cuboid here: brainly.com/question/14297267?referrer=searchResults

7 0
2 years ago
Read 2 more answers
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