Suppose you have a 7-cm by 5-cm rectangle. You increase the length by 1 cm and decrease the width by 1 cm. You continue to do this. What happens to the perimeter of the rectangle? The area? Explain why this happens.

Answers

Answer 1

Answer:

Step-by-step explanation:

P of original = 14 + 10 = 24

P of original l + 1  and w - 1 = 16 + 8 = 24

P of original l + 2  and w - 2 = 18 + 6 = 24

The perimeter remains the same each time since Perimeter is to the 1st power and you are summing; by subtracting from one and adding the same amount to another measure there is no change in perimeter

A of original = 7 x 5 = 35

A of original l + 1  and w - 1 = 8 x 4 = 32

A of original l + 2  and w - 2 = 9 x 3 = 27

A of original l + 3  and w - 3 = 10 x 2 = 20

A of original l + 4  and w - 4 = 11 x 1 = 11

The area decreases by 3,5,7,9 units each time since Area is to the 2nd power since you are multiplying two measures, now if you take the 2nd differences of 3,5,7,9 you see that they are 2 units apart each time, so are is squared and the 2nd differences are constant


Related Questions

HELP PLEASE.

In.AA80 m24 = 10° and m28- 145°. Select the triangle that is similar to AABC. O A. AMNP, in which m_M= 145º and MzN= 15 O B. AXYZ, in which m2X= 10º and m2 7 = 25° O = C. AJKL, in which meJ= 10° and mL = 135 o D. APQR, in which m_P= 25° and MR = 135°​

Answers

Answer:

B. ∆XYZ, in which m∠X = 10° and m∠Z = 25°

Step-by-step explanation:

∆ABC

m∠A = 10°

m∠B = 145°

m∠C = 180° - (m∠A + m∠B )

= 180° - (10° + 145°)

= 180° - 155°

m∠C = 25°

∆XYZ

m∠X = 10°

m∠Z = 25°

m∠Y = 180° - (m∠X + m∠Z)

= 180° - (10° + 25°)

= 180° - 35°

m∠Y = 145°

so,

m∠A = m∠X = 10°

m∠C = m∠Z = 25°

m∠B = m∠Y = 145°

I'm just ordinary human, CMIIW

I need help with this as fast as possible thanks bye

Answers

Answer:

153.9

Step-by-step explanation:

You use the formula πr^2 for the area, where r is the radius of the circle which is equal to half the diameter

What is the total surface area??Please help me I’m so confused i have a test tomorrow

Answers

214 is the correct answer

Answer:

216 :)

Step-by-step explanation:

There are five sides in total. To find the total surface area we have to find the area of each side.

Let's start off easy with the rectangle at the base. The width and length are 7 and 6, which gives us an area of 42.

The rectangle with dimensions of 8 as the length and 7 as the width gives us an area of 56.

The rectangle with a length of 10 and a width of 7 gives us 70 as an area.

The two triangles are congruent, so all we have to do is find the area of one and multiply it by two. The formula for an area of a triangle is 1/2(bxh)-or the two legs multiplied by each other and then divided by 2. The length of one of the legs is 8, and the other is 6. That gives us 48, which we will then divide by 2 to give us a total area of 24. Now we have to multiply that by two because there are two triangle sides on this figure and they are congruent. That gives us a product of 48.

Now we add up all the areas of each side:

42 + 56 + 70 + 48 = 216

QUESTION IN THE PHOTO! NO WRONG ANSWERS PLS

Answers

Answer:

your answer should be 2

Step-by-step explanation:

hope it helps, have a wonderful day :)

please help!!! i have been doing bad in math right now .

Answers

1) You have to multiple 1/6 (getting 4 the first time) by 1/2 (number of times you can get an even number) to get 1/12

Hope this helps!!

Diana is working on a painting for school. She needs 1 1/5 ounces of yellow paint and 2 1/2 ounces of orange paint. How much less yellow paint does she need than the orange paint?

Answers

Answer:

1 3/10

Step-by-step explanation:

We are to determine the difference the paint of yellow and orange paint

The equation we are to solve is

[tex]2\frac{1}{2} - 1\frac{1}{5}[/tex]

The equation can be solved by taking the following steps

Subtract the two whole numbers divide each denominator by the least common multiple of the denominator and multiply the figures by the numerator

[tex]1\frac{5 - 2}{10}[/tex] = [tex]1\frac{3}{10}[/tex]

Lowest common factor of 28 and 30

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Math riddle here

The sum of all the four numbers is 31.
Only one of number is odd.
The subtraction of the lowest number from the highest number is 7.
If you subtract two of the middle numbers, it equals two.

What four numbers am I thinking of ?

Answers

Answer:

15+8+6+2=31

Step-by-step explanation:

highest no. is 15

15-7=8

31-15-8=8

middle number 8

8-6=2

CHECK: 15+8+6+2=31

i don't know if my answer is right haha

i checked online it says the answer is 5,6,8,12

- You invest $80 into a simple interest savings account that earns 5% annually.
After how many years will the account have a total of 200$ in it?

Answers

Answer:

30 years.

Step-by-step explanation:

The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.

Our unknown for this example is T, but first we have to see how much interest is earned.

200 - 80 = 120 in interest (starting with $80, ending with $200)

120 = (80)(0.05)(T)

120 = 4T

30 = T

Please lmk if you have questions.

The tables represent the functions f(x) and g(x).
Which input value produces the same output value for
the two functions?
х
f(x)
Х
g(x)
-13
-3
STO
0 - 444
2
NON
O x=-3
O x= -1
O x=0
O x = 1
-5
-1
3
7
1
3
5
1
2

Answers

Answer:

Option (4)

Step-by-step explanation:

Input values are always represented by the x values and output values of a function is represented by f(x).

From the table given,

Values under x column are the input values and values under f(x) or gx) column are the output values.

From both the tables, common output values for the same input value (x = 1) are,

f(1) = 3

g(1) = 3

Therefore, Option (4) is the answer.

The input value that produces the same output value for both functions is: D. x = 1

What is a Function?

A function is a relation which has exactly one y-value (output value) that corresponds to each x-value (input value) in the relation.

In the function [tex]f(x)[/tex], the input value (x) 1 produces an output value [tex]f(x)[/tex] of 3. Same applies for the function g(x).

Thus, [tex]f(1) = g(1) = 3[/tex]

Therefore, the input value that produces the same output value for both functions is: D. x = 1

Learn more about a function on:

https://brainly.com/question/10439235

The size of the coyote population at a national park increases at the rate of 4.3% per year. If the size
of the current population is 183, find how many coyotes there should be in 6 years. Use
y = yoe^0.043t and round to the nearest whole number.
A) 235
B) 241
C) 239
D) 237

Answers

Answer:

B

Step-by-step explanation:

The estimated number of coyotes after six years, rounded to the closest whole number, is 237.

Therefore, option D) 237 is the appropriate response.

Given that in a national park the population of coyote is increasing by 4.3% per year.

The current population is 183.

We need to find the size of the population after 6 years.

To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:

[tex]y = y_oe^{0.043t[/tex]

Where:

y = final population after t years

y₀ = initial population

r = growth rate

t = time in years

In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).

Plugging in the values:

[tex]y = 183 \times e^{(0.043 \times 6)[/tex]

Calculating this expression:

[tex]y \approx 183 \times e^{(0.258)[/tex]

Using a calculator:

[tex]y \approx 183 \times 1.294[/tex]

[tex]y \approx 236.502[/tex]

Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.

Therefore, the correct answer is option D) 237.

Learn more about Exponential growth rate, click;

https://brainly.com/question/503551

#SPJ4

Xavier asks Kofi if he can guess how many pancakes he made in the morning. Xavier gives him three clues to guess.
“If the number of pancakes I have is…”
i) is a multiple of 3, it is a number between 1 and 17
ii) is not a multiple of 8, it is a number between 20 and 27
iii) is not a multiple of 12, it is a number between 30 and 37
How many pancakes did Xavier make?​

Answers

Answer:

33

Step-by-step explanation:

simplify : 3p+2p+8-3=15​

Answers

Answer:

3p+2p+8-3=15

5p+5-15=0

5p-10=0

5(p-2)=0

(if you want to solve it p=2)

Valerie is considering various savings options. At Bank 1, she can invest $1,000 in a CD that earns compound interest at an annual rate of 2.4%. At Bank 2, she can invest $1,000 in a savings account that pays 2% simple interest upon withdrawal. How much more money would Valerie earn in 5 years with the CD at Bank 1 than with the savings account at Bank 2?

Answers

Answer:

100.00

Step-by-step explanation:

plz help giving brainlest

Answers

Answer:   17

Step-by-step explanation:

You simply jusr divide the area with the lenght given

Answer:

u=17kilometres

Step-by-step explanation:

area of parllelogram =base×height

289km²=17×u

u=289/17=17km

Mark can buy 15 tea bags for $3. What is the unit rate of price per bag? At that rate, how many tea
bags could he buy for $20?

Answers

Unit rate: 5 tea bags per dollar
He can buy 100 tea bags for $20

Answer:

Unit Rate:5 teabags for 1$

teabags for $20: 100

Step-by-step explanation:

make 3/15  a fraction

simplify

multiply 20 times 5

13.
Find the least common multiple (LCM) of 28 and 63.

Answers

Answer:

252

Step-by-step explanation:

We can use the identity

LCM(a, b) = a * b / GCD(a, b)

GCD(28, 63) = GCD(4 * 7, 9 * 7) = 7

LCM(28, 63) = 28 * 63 / 7 = 28 * 9 = 252

A pedestal for a statue is made with 405 cubic feet of concrete. What is the area of the base of the pedestal? 6.7 square feet 22.5 square feet 45 square feet 3,645 square feet

Answers

Complete Question:

A pedestal for a statue is made with 405 cubic feet of concrete. A rectangular prism with a height of 9 feet.

What is the area of the base of the pedestal?

Answer:

45 square feet

Step-by-step explanation:

Given the following data;

Volume of pedestal = 405 ft³

Height of rectangular prism = 9 ft

To find the area of the base of the pedestal;

Volume of pedestal = base area * height

405 = base area * 9

Base area = 405/9

Base area = 45 square feet.

Therefore, the area of the base of the pedestal is 45 square feet.

Answer:

45 square feet

Step-by-step explanation:

PLEASE HELP WITH THIS BEEN WAITING FOR AN HOUR!!!

Answers

Answer:

The 3rd one

Step-by-step explanation:

The 3rd one because a tessellation is (By definition) "an arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping." In this case 3rd because they fit with no gaps and no overlapping.

Answer:

the third one sorry couldn't answer here sooner!

Step-by-step explanation:

-Ash

A cuboid has dimensions 8 cm, 5 cm and 14 cm.
8 cm
5 cm
14 cm
Find the volume of the cuboid.​

Answers

Answer:

54cm

Step-by-step explanation:

8cm + 5cm + 14cm = 27 cm + 27 cm = 54 cm

A landscaper will pave the walkway for $5 per square foot. How much will it cost for Mrs. Johnson to have the landscaper pave her walkway If there is 9ft 16ft and 10ft? HELP PLEASE

A: $117

B: $144

C: $585

D: $720

Answers

C no lo sé no ma a quiero pasar este examen

a triangle has two sides of length 2 & 6, what’s the smallest possible whole number length for the 3rd side

Answers

Answer:

2

Step-by-step explanation:

2 is the smallest you can get fir it to be a proper triangle

sorry the pic looks bad but can anyone help asap?

Answers

Answer:

I'm pretty sure it (a)

Step-by-step explanation:

I learned it as you eat the larger number

Hellohello, if you able to help me then please do. (:

Answers

Answer:

The answer is D.

Sum means addition. So, you would be adding a and b. Remember this; a - b = difference, a * b = product, a ÷ b = quotient, and a + b = sum. Good luck!

Answer:

d) a+b

Step-by-step explanation:

For this question we can think of a and b as different numbers just for the sake of making the question easier. For example "a" could be 2 and "b" could be 3 (a=2 and b=3).

(However, keep in mind that "a" and "b" can be any number and that we don't know their values. But we can assign some values to them in order to solve the question more easily)

So if a=2 and b=3 in our example the notation for their sum would be 2+3. If we just put a for 2 and b for 3 we get a+b, which is the answer

Are these shapes congruent??

Answers

No because one has four right angles while the other has one
Brainliest?

Answer:

No

Step-by-step explanation:

Solve the equation 7= -108 – 3.​

Answers

move 7 to the other side making it negative
-108-3-7 = -118

Answer:

s=-1

Step-by-step explanation:

Solve for the x.
Assume the segments that appear to be tangent are tangent.

Answers

4.5 i think im really not sure check with someone else before answering

Ok I need help there is a 1:thousands block and there is 3:hundreds 5:tens 9:ones. And I have to write it in standard form written form and expanded form! Please help

Answers

Answer: standard form is 1,359 expanded form is 1000+300+50+9

Step-by-step explanation: hope this helps :)

Toby had a package of markers.

​After he used 4 of the markers, there ​were 10 markers left in the package.

​Which equation can be used to ​find the number of markers that were in the package before Toby used ​the markers?

Answers

10x+4x=14. .............

please help, find the area​

Answers

Answer:

26 units^2

Step-by-step explanation:

You have all the information to find the area of each of the triangles that make up the kite so all you need to do is find the area of each of them and add them all together.

Triangle 1 = 1/2(2 x 7) = 7

Triangle 2 = 1/2(2 x 7) = 7

Triangle 3 = 1/2(2 x 6) = 6

Triangle 4 = 1/2(2 x 6) = 6

Total Area                   = 26

The area of the kite is 26 units^2

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