All categories

3 years ago

Elle drew rectangle that was 3 units wide and 4 units long drew different rectangle that has same permiter but a different area

Mathematics

2 answers:

mafiozo [28]3 years ago

8 0

The perimeter is 14. The area is twelve. You could do 6*1, because 6*1 is six, but 6+6+1+1=14.

Marina CMI [18]3 years ago

4 0

Perimeter = 2(l + b) = 2(3 + 4) = 14 cm

So, different possible values of l and b with different area
(1,6) (2,5) (5,2) (6,1)

You might be interested in

A recent survey by the U.S. Census Bureau determined that the median monthly housing rent was $628. If the first quartile for mo

astraxan [27]

The answer is b!! Hope this helps!

8 0

2 years ago

The length of a rectangular pool is to be four times its width and a sidewalk 6ft wide will surround the pool. If a total area o

natita [175]

Answer:

52 feet by 13 feet.

Step-by-step explanation:

Given:

The length of a rectangular pool is to be four times its width.

Sidewalk is 6 feet wide will surround the pool.

If a total area of 1600 square feet has been set aside for the area of the pool and the sidewalk.

Question asked:

What are the dimensions of the pool?

Solution:

Let width of a rectangular pool = $x$

Then the length of a rectangular pool will be = $4x$

$Area\ of \ rectnagle= length\times breadth$

$=x\times4x\\ \\ =4x^{2}$

Combined length of pool and the sidewalk = length of pool + width of sidewalk + width of sidewalk

Combined length of pool and the sidewalk = $4x+6+6=4x+12$

Similarly, Combined width of pool and the sidewalk = $x+6+6=x+12$

Combined area of pool and the sidewalk = 1600

$Combined\ lengthh\times Combined\ r=breadth=1600\\ \\ (4x+12)(x+12)=1600\\ \\ 4x(x+12)+12(x+12)=1600\\ \\ 4x^{2} +48x+12x+144=1600\\ \\ 4x^{2} +60x+144=1600$

Subtracting both sides by 144

$4x^{2} +60x=1456\\ \\ 4x^{2} +60x-1456=0\\ \\ Taking\ 4\ as\ common\\ \\ x^{2} +15x-364=0\\ \\ x^{2} +28x-13x-364=0\\ \\ x(x+28)-13(x+28)=0\\ \\ x+28=0,x-13=0\\ \\ x=-28,x=13$

Since dimensions can never be in negative, hence $x=13$

Width of a rectangular pool = $x$ = 13 feet

The length of a rectangular pool will be = $4x$ = $4\times13=52\ feet$

Therefore, the dimensions of the pool are 52 feet by 13 feet.

8 0

3 years ago

Describe the power function f(x)=x^5. What does it look like? Where does it cross the x- and y-axis? How many turns does it make

Paladinen [302]

Answer: f(x) = x⁵ – 8x⁴ + 16x³

Does not cross the x-axis at x = 4.

Crosses the x-axis at x = 0

This is about the end behavior of a graph of a function at the end of the x-axis.

We are given the function;

f(x) = x⁵ - 8x⁴ + 16x³

A) As x approaches negative infinity -∞, x⁵ will also approach negative infinity -∞. This is because when we raise a negative number to the power of an odd number, the result remains negative.

B) As x approaches positive infinity +∞, x⁵ will also approach positive infinity -∞. This is because when we raise a positive number to the power of an odd number, the result remains positive.

Let's now find the roots of this function;

f(x) = x⁵ - 8x⁴ + 16x³

Let's factorize it first to get;

f(x) = x³(x² – 8x + 16)(x² – 8x + 16) is a perfect square trinomial and can be expressed as (x – 4)(x - 4).

Thus;f(x) = x³ (x – 4)(x - 4)

C) Since we have found the factorized form to be;

f(x) = x³ (x – 4)(x - 4)

The roots are at f(x) = 0;

The roots are; x³ = 0; (x – 4) = 0 ; (x - 4) = 0

This means the roots of f(x) are; x=0 and x=4. x = 4

This means the graph has a repeated root and so it will touch the x-axis but not at the repeated root of x=4.

D) Since it 0 is a root and it does not cross at x = 4, the graph will cross at x = 0.

4 0

3 years ago

Mrs.Mayer had a Halloween party at her classroom she said studends though 1 to 12 get to bring 6 things how many things did all

STALIN [3.7K]

Just try to do 12×6 so try and say i have 5 people and i get tree candies from each person i know we multiplying in the problem so i multiply 5×3 which give me 15 my answer is and the work i shower to get my answer is showing my work

7 0

3 years ago

True or False, In Euclidean geometry, there is only one equilateral triangle

docker41 [41]

True, In Euclidean geometry an equilateral triangle must be a 60-60-60 triangle.

Hope This Helps!!!

5 0

4 years ago