A rectangular piece of paper has an area of 117 square inches and a perimeter of 44 inches. What are the dimensions of the paper?

Answers

Answer 1

Answer:

13x9

Step-by-step explanation:

half of perimeret of  rectangle L+W

half of perimeter of  rectangle = 44/2 = 22

L+W=22

LxW=117

  Think of 2 numbers that added =22 and multiplied =117

       13+9 =22

    13x9 =117


Related Questions

find the hcf of 6 and 8 by prime factorization method
pls help? ​

Answers

Answer:

2

Step-by-step explanation:

Factorization of the following.

6=3×2×1

8=2×2×8×1

Since, The common factor is 2.This implies that

H.C.F=2

The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10 inches) and the standard deviation is 3 inches.

Use the table to estimate the probability that a randomly -selected male is between 67 and 45 inches tall. Express your answer as a decimal.

Answers

Using the normal distribution, it is found that the probability is 0.16.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, [tex]\mu = 70, \sigma = 3[/tex].

The proportion of students between 45 and 67 inches is the p-value of Z when X = 67 subtracted by the p-value of Z when X = 45, hence:

X = 67:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{67 - 70}{3}[/tex]

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 70}{3}[/tex]

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at https://brainly.com/question/24663213

If the nth term of an ap is n-12 find the sum of its first 25 terms

Answers

The nth term Tn = n - 12 illustrates an arithmetic progression

The sum of the first 25 terms is 25

How to determine the sum of the terms?

The nth term is given as:

Tn = n - 12

Calculate the first term

a = 1 - 12

a = -11

Calculate the second term

T2 = 2 - 12

T2 = -10

Calculate the common difference (d)

d = T2 - a

d = -10 + 11

d = 1

The sum of n terms is then calculated as:

Sn = n/2(2a + (n - 1) * d)

So, we have:

S25 = 25/2(-2 * 11 + (25 - 1) * 1)

Evaluate

S25 = 25

Hence, the sum of the first 25 terms is 25

Read more about arithmetic progression at:

https://brainly.com/question/6561461

Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?

6 units
12 units
14 units
4 units

Answers

Answer: 12 units

Step-by-step explanation:

If you graph them on a graph you count the units between them and that is your anwser.

Answer:

12 units

Step-by-step explanation:

calculate DG using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2 -y_{1} } )^2[/tex]

with (x₁, y₁ ) = D (8, 3 ) and (x₂, y₂ ) = G (- 4, 3 )

DG = [tex]\sqrt{(-4-8)^2+(3-3))^2}[/tex]

     = [tex]\sqrt{(-12)^2+0^2}[/tex]

     = [tex]\sqrt{144+0}[/tex]

    = [tex]\sqrt{144}[/tex]

    = 12

A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 meters, how tall will the mountain be in 4 millennia?
if necessary, round your answer to the nearest whole number.

Answers

Answer: 1,393 meters tall

Step-by-step explanation:

Plug in 1710 meters for the initial amount, 0.05 for the rate of decrease, and 4 millennia for the time elapsed.

y

= a(1–r)t

y

= 1,710(1–0.05)4 Plug in values

y

= 1,710(0.95)4 Subtract

y

= 1,710(0.81450…) Simplify

y

= 1,392.80568… Multiply

Round to the nearest whole number.

1,392.80568… → 1,393

To the nearest whole number, the mountain will be 1,393 meters tall.

What is the pattern: April 3, March 31, March 28, March 25?

A) 30 days earlier

B) 1 week earlier

C) 3 days earlier

D) 3 days later

Answers

C) 3 days earlier would be the pattern

simply 2x + x + x + 2y x 3y x y

Answers

Answer:

[tex]4x + 6y^{3} x^{2}[/tex]

Step-by-step explanation:

Simplify

-x - 3y = 6, 2x + 3 = -8 equivalent equation and solution

Answers

Answer:

x = -11/2 , y = -1/6

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}-x-3y=6\\ 2x+3=-8\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=-\frac{11}{2}[/tex]

[tex]\begin{bmatrix}-\left(-\frac{11}{2}\right)-3y=6\end{bmatrix}[/tex]

[tex]Simplify[/tex]

[tex]\begin{bmatrix}\frac{11}{2}-3y=6\end{bmatrix}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=-\frac{11}{2},\:y=-\frac{1}{6}[/tex]

Hence, x = -11/2 , y = 1/6

~Learn with Lenvy~

If $1209 is deposited in an account that pays 8. 2% interest compounded monthly, what is the balance after 26 years? Use: A=P(1+r)t
Round to the nearest cent

Answers

Answer:

Step-by-step explanation:

We can use the interest equation (mind you it is the same thing as said in the problem) to solve this:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the resulting amount, r is the interest rate, n is the number of times compounded per year and t is the time.

[tex]A=1209(1+\frac{.082}{12} )^{12*26}[/tex]

A = $10,120.29

Write an equivalent expression to

(x+7)+3y

Answers

Answer:

2x+14+6y

Step-by-step explanation:

My Math Problem.
Please Answer This one​

Answers

Step-by-step explanation:

class 6 to 8 students come here I will give you notes class is started come here fast I am waiting come with your name and class i am also girl come please please please please please please

Answer:

148°or 4x

Step-by-step explanation:

For a four sided Polygon (quatrilateral) the measure of four angles=360

Therefore,

2x+3x+4x +(x -10)=360

9x+x-10=360

10x-10=360

10x=360+10

10x=370

x=37

Therefore all angles are

74, 111, 148, 27

Therefore, largest angle = 148°

MARK ME AS BRAINLIST

Select all the expressions that are equivalent to 40% of 90.

Answers

Answer:

36

Step-by-step explanation:

What is the difference between a factor of a number and a multiple of a number? use the number 25 has an example

Answers

Answer:

factor: a submultiple; an integer value that gives an integer quotient when the number is divided by it.multiple: the product of the number and another integer

Step-by-step explanation:

Factors

A set of factors of a number (N) is a set of integers {f1, f2, f3, ...} whose product is the number:

  f1 × f2 × f3 × ... = N

Often the term "factors" is used to mean "prime factors," the set of prime numbers whose product is N.

When N = 25, the prime factors are {5, 5}. That is ...

  5×5 = 25

__

Divisors

A "divisor" of a number is a sub-multiple of N. That is, the quotient N/k is an integer for some divisor k of N. Usually, we're interested in integer divisors. All prime factors will be integer divisors of N. The term "factor" is often used when the term "divisor" is meant.

Divisors of N = 25 include 1, 5, and 25. There will be an odd number of integer divisors (as here) if the number N is a perfect square.

__

Multiples

For an integer k, the value k×N is called a multiple of N, often, the k-th multiple of N.

Multiples of 25 include 25, 50, 75, 100, 125, and any other decimal number ending in 25, 50, 75, or 00.

__

Another example

When N=30, the prime factors are {2, 3, 5}. The divisors are {1, 2, 3, 5, 6, 10, 15, 30}. (Note there are an even number of divisors.) Multiples of 30 include 30, 60, 90, 120, ....

Help due in an hour and I am confused

Answers

Answer:

48 degree

Step-by-step explanation:

Angle EFD=Angle EGD=42 degree

Angle EFG=90 degree

Angle DFG=Angle EFG- Angle EFD=90 degree-42 degree=47 degree

Answer:

m∠DFG = 48°

Step-by-step explanation:

Angles in a semicircle Theorem

The angle at the circumference in a semicircle is 90°

Therefore, if EOG is the diameter of the circle, then
m∠EDG and m∠EFG are both 90°

As the sum of the interior angles of a triangle is 180°

m∠EDG + m∠EGD + m∠DEG = 180°

⇒ 90° + 42° + m∠DEG = 180°

⇒ m∠DEG = 48°

As the angles at the circumference subtended by the same arc are equal, (i.e. angles in the same segment are equal) then
m∠DFG = m∠DEG = 48°

help help help help HELP

Answers

car is travelling faster

22 - 18 = 4 meter per second

hope it helps...!!!

Factor completely 2x2 − 2x − 40. 2(x − 5)(x 4) (2x − 10)(x 4) (x − 5)(2x 8) 2(x − 4)(x 5).

Answers

The factor the given polynomial are 2,(x+4),(x-5).

We have given that the equation,

[tex]2x^2 -2x -40[/tex]

What is the meaning factor?

Factoring a polynomial is expressing the polynomial as a product of two or more factors.

We can factor out a 2.

[tex]2(x^2 - x - 20)[/tex]

Now, we can write down the 2 and factor the [tex](x^2 - x - 20)[/tex].

[tex](x^2-x - 20)=x^2-5x+4x-20\\ =x(x-5)+4(x-5)\\ =(x+4)(x-5)[/tex]

[tex]f(x)=2x^2 -2x -40=2(x^2 - x - 20)=2(x+4)(x-5)[/tex]

Therefore, the factor the given polynomial are 2,(x+4),(x-5).

To learn more about the factor visit:

https://brainly.com/question/25829061

Analyze the diagram below and answer the question that follows.

In the triangle above, what is the measure of ∠A?

A. m∠A = 30°
B. m∠A = 45°
C. m∠A = 60°
D. cannot be determined

Answers

Answer:

B

Step-by-step explanation:

sames sides same angle

180=90+2x

180-90=2x

90=2x

x=45

can anyone help me with this question, i dont really understand how to do pls help me ​

Answers

there you goo :)) on the chain up on the left from 3 to 48 they keep multiplying by 2, and the other one, they keep subtracting by 7

Y=5x+6; x=-2 find the value of y for the given value of x

Answers

Answer:

-4

Step-by-step explanation:

5 * -2 = -10 + 6 = -4

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! A local grocery store released the following statistics on the average volume of products sold per month in its two branches over the past six months.

Answers

Answer:

a. House hold laundry

b. Beverages

c. Snacks

Step-by-step explanation:

Do mark brainliest.

#a

For branch A

Household laundry

For branch B

Snacks

#b

For branch A

snacks

For branch B

Canned goods

#c

Branch A

20+25+15+28+20108

Branch B

20+18+30+23+20111

Branch B performed better

complete the proof, word bank at bottom

Answers

Answer:

Step-by-step explanation:

2) definition of angle bisector

4) division property of equality

5) division property of equality

6) substitution property

7) SAS similarity

Choose 3 values that would make this inequality true. 8n + 4 ≤ 28

Choices:3,6,13,2,5,14,1

Answers

Answer:

1,2,3

Step-by-step explanation:

1*8=8+4+12<28

2*8=16+4=20<28

3*8=24+4=28=28

The sum of two numbers is 24. Two times the first number minus the second number is 21

Answers

Step-by-step explanation:

x + y = 24

2x - y=21

I'm guessing the question was find both numbers.

3x = 35

x=15

3y = 27

y=9

Convert [tex]\frac{7\pi }{4}[/tex] to degrees.

Answers

It’s 315°

To explain

7pi 180°
—— * ——-
4 pi

The pi cancels out because they are across from eachother
Which leaves
7/4 and 180
We divide 180 by 4=45°
And now 45° multiplied by 7 is equal to 315°

Consider a rectangle with a side length of (2y + 6) and a perimeter of (10y + 4). What is the length of its base?

Select one:
A. 6y - 8

B. 3y - 4

C. 6y - 4

D. 8y - 2

Answers

Answer:

D Because other options do not have integration constants

Answer:

The answer is b) 3y-4

Step-by-step explanation:

Kim bought $100 worth of stock and gained $25 per year. Ari bought $400 worth of stock and lost $35 per year. Use x for time and y for stock value. Graph the equations that represent each situation. The first one is done for you. When did Kim and Ari have the same amount of stock value? After _____ years.
(I WILL MARK YOU AS BRAINLIEST! PLEASE PLEASE HELP! THANK YOU <3)

Answers

Answer:

5 years

Step-by-step explanation:

by year five they both had the same amount

400-35=365

do that 5 times

225

100+25=125

do that 5 times

225

HELP ASAP

10. A store is selling its display furniture at a discount of 35%. How much would be paid for
a chair regularly selling for $195.95 if sales tax is 8%?

Answers

225 dollars is the answer


What is the mean and median
of these data:2,5,9, 11, 19

Answers

Answer:

mean = 9.2

median = 9

Step-by-step explanation:

mean = sum of data / number of data

mean = 2 + 5 + 9 + 11 + 19 / 5

= 46 / 5

= 9.2

median = middle number

= 9

The distance between the two points pictured is d = use the distance formula to find n. d = startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot n =

Answers

The distance between the two points pictured will be [tex]\sqrt{61}[/tex].

What is the distance between the two points?

The length of the line segment connecting two places is the distance between them.

The distance between two places is always positive, and equal-length segments are referred to as congruent segments.

The given coordinate in the problem is;

(x₁,y₁)= (-3,-2)

(x₂,y₂)=(2,4)

The distance between the two points is found as;

[tex]\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}[/tex]

Hence the distance between the two points pictured will be [tex]\sqrt{61}[/tex].

To learn more about the distance between the two points refer to;

https://brainly.com/question/16410393

Answer:

n=61

Step-by-step explanation:

Will mark brainlist⭐️⭐️
What is the greatest common factor of 12 and 36?
2
4
06
12

Answers

Answer:

12

Step-by-step explanation:

have a good day n ily :)

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