A rectangle whose perimeter is 80 m has an area of 384 m^2. Find the dimensions of the rectangle.

Answers

Answer 1

Answer: Since area of a rectangle = length X width I came up with an answer of 16 X 24 =384
Also, 16+16+24+24 = 80

Answer 2

Answer: $2a+2b=80 \ /:2\ \ \ \Rightarrow\ \ \ \ a+b=40\ \ \ \Rightarrow\ \ \ a=40-b\n \na\cdot b=384\ \ \ \ \Rightarrow\ \ \ (40-b)\cdot b=384\ \ \ \ \Rightarrow\ \ \ -b^2+40b-384=0\n \n \Delta=40^2-4\cdot (-1)\cdot(-384)=1600-1536=64\ \ \ \Rightarrow\ \ \ √(\Delta) =8\n \nb_1= (-40-8)/(2\cdot(-1))= (-48)/(-2) =24\ \ \ \ \Rightarrow\ \ \ a_1=40-b_1=40-24=16 \n \nb_2= (-40+8)/(2\cdot(-1))= (-32)/(-2) =16\ \ \ \ \Rightarrow\ \ \ a_2=40-b_2=40-16=24$

$Ans.\ The\ dimensions\ of\ the\ rectangle:\ \ \ 16\ m\ \ \ and\ \ \ 24\ m$

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Which points are on the axes 5 units from the origin? A. I, J, P
B. E, X
C. E, P
D. J, E

Answers

Option B - E, X is correct answer.

We have a cartesian coordinate plane and on that plane several coordinates are marked.

We have to determine which points are on the axes are 5 units from the origin.

What is Cartesian Coordinate System ?

A system in which the location of a point is given by coordinates that represent its distances from perpendicular lines that intersect at a point called the origin.

According to the question -

We have two axes - X and Y axis.

Points which lie on the axis are - X, E, P, J.

It can be seen that the point E and X are at the distance of 5 units from the origin.

Hence, Option B is correct answer.

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Yes the answer is B. Hope this helps :)

Every day, Jason runs for 34 minutes and lifts weights for 44 minutes. How many minutes will Jason spend working out in 7 days?

Answers

34*7=238
44*7=308
238+308=546

You add 34 and 44 and you get 78. Then you multiply 78 by 7. You should get 546. So Jason will spend 546 minutes working out in 7 days

The mayor is trying to decide if she wants a triangularsitting area or a parallelogram sitting area. The formulas
for area of a triangle and area of a parallelogram are
similar. Describe how to calculate the area of each shape
and how the area of a triangle is related to that of a
parallelogram.

Answers

The area of a triangle is half of that of a parallelogram with the same base and height.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

The area of a triangle can be calculated using the formula:

A = (1/2) × b × h

where "b" is the base of the triangle and "h" is its height.

The area of a parallelogram can be calculated using the formula:

A = b × h
Where "b" is the base of the parallelogram and "h" is its height.

This relationship between the height of a parallelogram and a triangle with an equal area can be represented as follows:

Area of parallelogram = 2 * Area of triangle

So, the area of a triangle is half of that of a parallelogram with the same base and height.

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Answer:

The formula for the area of a parallelogram is A = bh, and the formula for area of a triangle is A = 1/2bh. Since a triangle is half of the area of a parallelogram with the same base and height, the only difference in the formula is 1/2.

Step-by-step explanation:

What fraction of the months of the year have 31 days?

Answers

there is 7 months so it would be 7/31 idk

7/31 that's the answer.

Since your little brother loves cereal you decide to give him his favorite cereal cinnamon toast crunch as a surprise present.There is only one square sheet of wrapping paper that measures 60 cm wide and 60 cm long.

The measurements at the cereal box are 30 cm X 40 cm x 5cm

Do you have enough wrapping paper to wrap the cereal box?

Answers

oops answer is in the comments... there are two sides of the box that have a match. so take the area 60*60 and subtract ( 2*(30*40) + (30*5)*2 ) enough paper!!

Final answer:

Yes, you have enough wrapping paper to wrap the cereal box.

Explanation:

To determine if you have enough wrapping paper to wrap the cereal box, you need to find the surface area of the box and compare it to the area of the square sheet of wrapping paper. The surface area of the cereal box can be found by adding up the areas of all six sides. In this case, the surface area of the box is 2(30 * 40) + 2(30 * 5) + 2(40 * 5) = 2400 + 300 + 400 = 3100 square centimeters. The square sheet of wrapping paper has an area of 60 * 60 = 3600 square centimeters. Since the surface area of the cereal box is less than the area of the wrapping paper, you have enough wrapping paper to wrap the box.

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Find the factors. Is 16 prime or composite?

Answers

prime numbers 2 3 5 7 11 13 17 19 23

16 is a composite number

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You have 80 pieces of fabric to make a wall hanging. Each piece of fabric is a square with a side length of 5 inches. You use as many pieces of fabric as possible to create a square wall hanging.What is the area of the wall hanging? How many pieces of fabric are left over? How many more pieces of fabric would you need to increase the size of the wall hanging?