The length of a rectangle is (3 + √7)m and its width is (1 + 2√7)n. What is the
area of the rectangle?

Answers

Answer 1

Answer:

[tex]A=(17+7\sqrt7)\ m^2[/tex]

Step-by-step explanation:

Given that,

The length of the rectangle, [tex]l=(3+\sqrt7)\ m[/tex]

The width of the rectangle, [tex]b=(1+2\sqrt{7} )\ m[/tex]

We need to find the area of the rectangle. We know that the area of the rectangle is given by :

[tex]A=l\times b[/tex]

Put all the values in the above formula.

[tex]A=(3+\sqrt7)\times (1+2\sqrt7)\\\\=3+3\times 2\sqrt7 +\sqrt7+2(\sqrt7)^2\\\\=3+6\sqrt7+\sqrt7+14\\\\=(17+7\sqrt7)\ m^2[/tex]

So, the area of the rectangle is [tex](17+7\sqrt7)\ m^2[/tex].


Related Questions

hellppppppooooooppppppppppp​

Answers

Answer:

A

hope i helped

3x^2yz^3-9x^3y^2z^2+12x^2y^3z^2

Answers

3×2=692047 82837=284749×2484r133.e9274

plz help me. I'm confused on hw​

Answers

Answer: Yes by SAS

Why: they have two equal sides makes by the dashes and two 90 degree angles in the same places on both triangles meaning that the other side next to the 90 degree angle had to be equal as will

Hope this helps :D

plzzzzz i vill give 5 stars a heart brainlyest if you can anwser this write 5(2j+3+1j)= using the commutive property

Answers

Answer:

The answer would be 5 (3j + 3)

Step-by-step explanation:

The 5 outside the partheness would stay the same

2j + 1j = 3j

The 3 remains the same.

So our answer is

5(3j + 3)

Homework 9.4 Equations and Word Problems
The flag of a country contains in the senseless triangle if the measure of the third angle of the triangle is 30° more than twice the measure of either of the other two angles find the measure of each angle of the triangle

Answers

Answer:

idc

Step-by-step explanation:

1. -4x +5 > -5
I need help

Answers

Step-by-step explanation:

-4x+5>-5

    -5   -5

-4x>-10

/-4   /-4

x<2/5

You switch the sign whenever you divide a negative. In this case, we did, so instead of it being x>2/5, the answer is x<2/5.

hope it helps! :3

Answer:

x<5/2

Step-by-step explanation:

The rates of currency exchange published in the newspaper on a certain day showed that 12 pounds could be exchanged for 96 dollars. How many dollars could be obtained for 102 pounds?

Answers

Answer:

Step-by-step explanation:

Your answer

816 dollars

Mark it as Brainlist answer. Follow me.

Suppose a scientist puts a colony of bacteria weighing 1 gram in a large container. Assume that these bacteria reproduce in such a way that their number doubles every 20 minutes.

Answers

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

Pls help ASAP I’ll brainlest

Answers

Answer:

b) x= -13

Step-by-step explanation:

Answer:

it's answer is= - 13.175

but it is not in option

so B) - 13

is right

find the length of a rectangle whose area is 144 cm and breadth is 9CM​

Answers

Answer: 16

Step-by-step explanation:

The area of a rectangle can be found by multiplying its length and its height. You may consider the breadth as just another word for length.

A = L * W

Since we know what are area is, we may substitute it into the equation.

144 = L * W

We also know what our width (our breadth) is, so we will also substitute it in

144  = L * 9

To solve for our length, we divide both sides by 9 to isolate L

[tex]\frac{144}{9} = \frac{L * 9}{9}[/tex]

We see that the two 9's on the right hand side cancel out to give us L

[tex]\frac{144}{9} = 16[/tex]

So our L is equal to 16.

We can check our work by multiplying the length and breadth together again to see if they give 144 as a product, which they do.

A line with a slope of 8 and includes the points (8,-10) and (10,w).What is the value of k?

Answers

Answer:

w = 6

Step-by-step explanation:

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

[tex]\frac{w-[-10]}{10-8}=8\\\\\frac{w+10}{2}=8\\\\w+10= 8*2\\[/tex]

w +10  = 16

        w = 16 - 10

         w = 6

What is the midpoint of the figment joining
-1,-5) and 7, 1​

Answers

Answer:

mid point={(7-1)/2,(1-5)/2=(3,-2)

4
3
?
2
5
10
5
15
20
What is the missing number?​

Answers

Answer:

i think it's 7

Step-by-step explanation:

i think the pattern is like

x + x = x

x • x = x ( • = multiplication sign)

x + x = x

Hope this helps ;-;

A number x is three times the value of number y. A number z is eight times the value of y. The sum of
the three numbers is 528. What are the 3 numbers (HINT: This problem requires 3 equations to solve!!

Answers

Step-by-step explanation:

y=a

x= 3a

z=8a

3a+8a+a=524

12a=528

a=44

X=3×44=132

z=8×44= 352

Answer:

y=a

x= 3a

z=8a

3a+8a+a=524

12a=528

a=44

X=3×44=132

z=8×44= 35

2

Step-by-step explanation:

I need help! This is due in 30 minutes!!!

Answers

Answer:

Complementary

Step-by-step explanation:

You are correct.

Answer:

Complementary

Step-by-step explanation:

b + a = 90 degrees.

complementary is 2 angles that add up to 90 degrees

A takeaway sells 10inch pizzas

Answers

1024 ur welcome thanks

What is the volume of the cone below?
O A. 132pi units3
O B. 264pi units3
O C. 396pi units3
O D. 792pi units3

Answers

Answer:

B. 264π units³

Step-by-step explanation:

Volume of the cone = ⅓πr²h

Where,

r = 6

h = 22

Plug in the values

Volume = ⅓×π×6²×22

Volume = ⅓×π×36×22

Volume = 264π units³

Job-sharing is an innovative employment alternative that originated in Sweden and is becoming popular in the United States (for example, in 2001, 26% of companies in the U.S. offered it as a flexible work option). Firms that offer job-sharing plans allow two or more persons to work part-time, sharing one full-time job. For example, two job-sharers might alternate work weeks, with one working while the other is off. Job-sharers never work at the same time, and may not even know each other. Job-sharing is particularly attractive to working mothers and to people who frequently lose their jobs due to fluctuations in the economy. In a recent survey of 1,035 major U.S. firms, approximately 23% offer job-sharing to their employees.

For each of the questions, select the correct answer from choices i. through xi. listed below.

a. What is the population of interest?
b. What is the variable measured?
c. What is the sample selected?
d. What is the parameter?
e. What is the statistic?


i. All major U.S. firms
ii. All major firms in the world
iii. All U.S. firms
iv. Job-sharing availability
v. Proportion of employees who are working mothers
vi. The 1,035 firms surveyed
vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees
viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees
ix. 25%
x. The percentage of all U.S. major firms which employ working mothers
xi. All workers in the U.S. who have participated in he job-sharing program


Answers

Answer:

a. The population of interest is:

xi. All workers in the U.S. who have participated in the job-sharing program

b. The variable that is being measured is:

viii. The percentage of the 1035 major firms surveyed which offer job-sharing to their employees

c. The sample selected is:

vi. The 1,035 firms surveyed

d. The parameter is:

v. Proportion of employees who are working mothers

e. The statistic is:

ix. 25% (stated as 23%)

Step-by-step explanation:

The parameter of a population is a fixed value calculated from every individual in the population.  It is different from a statistic, which is computed from a sample of the population.  The statistic is meant to approximate a population parameter.

You can use the definition of parameter and statistic to distinguish between the two.

The answers to the given sections are:

a. The population of interest is

xi. All workers in the U.S. who have participated in he job-sharing program

b. The variable measured is

viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees

c. The sample selected is

vi. The 1,035 firms surveyed

Since this was the collection which was selected for study and thus, called sample from the population as all major US firms.

d. The parameter is

vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees

e. The statistic is

ix. 25% (in question it is written 23% which might be mistakenly written, or that it is mistakenly written in option given)

What is a population and parameter?

The entire group or system which we are taking in consideration is population. Nothing bigger than it lies there in consideration.

Ex: If we're taking about health problem in a country, then the whole country people form a population.

If we're taking about numbers on a 6 face die, then those 6 numbers on 6 faces form a population.

Those numbers who summarize information about population are called parameter.

What is sample and statistic?

A portion of population taken and analyzed to predict information about population is called sample of that population.

Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.

Those numbers who summarize information about sample are called statistic.

(Statistic is different than statistics)

Using the above definitions to find the answers

a. The population of interest is

xi. All workers in the U.S. who have participated in he job-sharing program

b. The variable measured is

viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees

c. The sample selected is

vi. The 1,035 firms surveyed

Since this was the collection which was selected for study and thus, called sample from the population as all major US firms.

d. The parameter is

vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees

e. The statistic is

ix. 25% (in question it is written 23% which might be mistakenly written, or that it is mistakenly written in option given)

Learn more about parameter and statistic here:

https://brainly.com/question/3640262

Write the expression using exponents.
2.1•x•z•z•z•z

Answers

Answer:

I believe it's 2.1xz^4

Step-by-step explanation:

The expression of exponent is  2.1.x.z⁴ or 2.x.z⁴.

What is exponent?

The process of expressing large numbers in terms of powers is what is meant by the term "exponent." Therefore, the term "exponent" refers to the number of times a number multiplies itself.

The exponent is represented by the character (^), which is also known as a carrot.

Given expression

2.1.x.z.z.z.z

here z repeats 4 times,

according to exponents z can be written as

z⁴,

2 and 1 and x are not repeated so there powers are only 1

expression is

2.1.x.z⁴ or

2.x.z⁴

Hence the expression is  2.1.x.z⁴ or 2.x.z⁴.

Learn more about exponent;

https://brainly.com/question/5497425

#SPJ2

An amount of $42,000 is borrowed for 6 years at 9% interest, compounded annually. If the loan is paid in full at the the end of hat period how much must be paid back?

Answers

Answer:

70,438.20

Step-by-step explanation:

To calculate the future value you use the following formula

FV=PV(1+i)^n

Plug in our numbers and get

FV=42000(1+.09)^6

42000*1.09^6=70,438.20

can someone help this is kinda confusing i’ll mark you as brainlilest.

Answers

Answer:

The answer is A, good luck on the test! :D

Step-by-step explanation:

Answer:

Step-by-step explanation:

A. In geometry, a cylinder is a three-dimensional shape with a circular base, ... So using the volume of cylinder formula we can find the volume of i

What is the product of
4
7
and
1
6
? Use the grid to help you.

A grid divided vertically into sevenths and horizontally into sixths. Each side length is one foot.

Answers

Answer:

C and 2/21

Step-by-step explanation:

i did it

We can write the product of the given fractions as -

{4/7 x 1/6} = 2/21

What is fraction?

A fraction is expressed in the form of {x/y}, where {y ≠ 0}.

Given is to find the product of the fractions -

4/7 and 1/6

We can write the product of the fractions {4/7} and {1/6} as -

{x] = 4/7 x 1/6

{x} = 2/7 x 1/3

{x} = 2/21

Therefore, we can write the product of the given fractions as -

{4/7 x 1/6} = 2/21.

To solve more questions on fractions, visit the link below-

https://brainly.com/question/10354322

#SPJ2

help lol 30 points. i don’t understand the test is timed. brainliest once i get 2 answers.

Answers

Answer:

mmmmmmm........

Step-by-step explanation:

di ko po alam

Is x^2+y^2=100 a function

Answers

Using the function concept, it is found that [tex]x^2 + y^2 = 100[/tex] is not a function, as for each value of x there is more than one corresponding value of y.

Function:In a function, one value of the input can be related to only one value of the output, that is, for each value of x, there can only be one respective value of y.

In this problem, the relation is:

[tex]x^2 + y^2 = 100[/tex]

For example, considering x = 0, the corresponding values of y are:

[tex]0^2 + y^2 = 100[/tex]

[tex]y = \pm \sqrt{100}[/tex]

[tex]y = \pm 10[/tex]

Hence, it is not a function, as for each value of x there is more than one corresponding value of y.

To learn more about the function concept, you can take a look at

What is the slope of the line shown below?

Answers

Answer:

The slope of the line will be 1//3

Step-by-step explanation:

Hope this Helped

what is sociallizatioj​

Answers

Answer:

Socialisation is the process through which individuals learn the norms and values of society, leading to social cohesion and a functional society

hope it helps you

please mark me as brainlist

Step-by-step explanation:

mixing up and following social norms and values as a member of the society is called socialization.

CAN SOMEONE PLEASE HELP ME!!!!

Answers

Option 4. x>2 should be an open circle on 2 going right. x<=-2 should be a closed circle on -2 going left. Remember, < equals open circle and <= equals closed circle.

Help

Don’t use for points or will take it back

Answers

Answer:

134=2x

X= 67

hope it helps

134 because the isosceles base angles thereom

evaluate the following algebraic expression for the given value of x.




4x-5 where x=5​

Answers

Answer:

15 is answers

x=5

Step-by-step explanation:

4x-5

4×5-5

20-5

15

0.5 g of salt is equal to how many milligrams show your work

Answers

Answer:

Amount of salt = 500 milligrams

Step-by-step explanation:

Given:

Amount of salt = 0.5 g

Find:

Amount of salt in milligrams

Computation:

1 gram = 1,000 milligrams

So,

Amount of salt = 0.5 x 1,000

Amount of salt = 500 milligrams

Other Questions
Do All slope triangles have a ratio of 1/5? Are we living in a simulation! True False Why does sexual reproduction result in offspring with genetic variation? Use the examples that you studied to support your answer. 10x -20 plus 7x plus 4 equals 180 what is x Find the length of arc CD. Use 3.14 for pi. Round to the nearest tenth. A mass of 10. kg is placed on the end of a 0.50-meter pendulum. What is the period of the pendulum? Using Details from the text, describe the image thatwas painted in your mind while reading chapter one ofDeep Water. Use evidence from the text to supportyour description Rosanne and Jimmy are looking to purchase a house. They found one that they like, but the inspection report showed that there was a problem. The foundation has termites. The report states that the foundation of a house has 1200 termites. The termites grow at a rate of about 2.4% each day. A. Formulate an equation in exponential form that represents the termite situation. (5 points) B. The extermination is scheduled out for one week from the date of the report. Use your equation to determine how many termites will be in the home at the time of the extermination. (5 points) Of the following choices, which statements describe exploration and early settlement of Arkansas? Select all that applyA. Joliet and Marquette formed an alliance with the Chickasaw who protected themB. LaSalle's primary mission was to expand French trade with Native AmericansC. The Arkansas Post was established primarily as an agricultural hubD. The Arkansas Post gave the French control over the west bank of the Mississippi River Evaluate the function at the given values.f(x) = 6x - 4a. f(9)b.10-c. f)a. f(9) Which substances are made up of polymers?DNAa glass bottleice crystalsthe proteins in hairrubber car tires Find the missing side lengths, leave your answers as radicals in the simplest form. Show work please Blood supply to an arm is cut off. Blood in the arm is sampled afterfive minutes and analyzed. Which of the following would occur?Concentration of HHbA.B.C.DConcentration of HbO2highlowlowConcentration of HCO3lowhighhighlowhighoBAOC Nathan is going to invest in an account paying an interest rate of 6% compounded continuously. How much would Nathan need to invest, to the nearest ten dollars, for the value of the account to reach $1,200 in 8 years? A helicopter hovers 1500 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 32 degress. How far off the coast, to the nearest foot, is the island? Activity 2: MULTIPLE CHOICEDIRECTION: Encircle the letter that best correstatementThe six dimensions of wellness include alla. emotional wellnessb. environmental wellnessPhysical wellness includes:a. self-awarenessb. self-confidence Explain how the nervous system works within your body as you go throughout the day. From waking, eating, going to school, extracurricular activities, and finally bed; state how the different parts of the nervous system work together to complete these tasks. ok yall l have to write a essay about Pretend that you are the moon. What would you say? Describe yourself to others based on what you have learned about the moon in class. How does your surface reflect light? Do you always look the same? How long does it take you to revolve around the Earth? Do you have an axis like the Earth? Where do you go during the day? What would you see in space? can yall do it for me Let's see who will answer it first? Which evidence from the article BEST supports the conclusion that noise pollution has increased at national parks?