A rug shaped like a rectangle has a width of 3 m. the length of the rug is 2 m greater than its width. what is the perimeter of the rug in meters

Answers

Answer 1

well,
rectangle has 4 sides
2 lengths and 2 breadths
the width is the breadth
so it's 3x2= 6m
the leanght
it's 2m greater than width so it's (3+2)x2= 10m
so the perimeter is the total length of all sides therefore it's 10+6= 16m

it's pretty easy one could just
(3x2)+((3+2)2)= 16m

Related Questions

Sue can sew a precut dress in 3 hours. helen can sew the same dress in 2 hours. if they work together, how long will it take them to complete sewing that dress? round to one decimal place.

Answers

1/3 + 1/2 = 1/t

The LCD is 2*3*t.

If you multiply everything by the LCD, you can clear your fractions.

6t (1/3) + 6t (1/2) = 6t (1/t)

2t + 3t = 6

5t = 6

5t/5 = 6/5

Answer:
Which is: t = 1.2 hrs.

Final answer:

Sue and Helen can sew a dress in 1.2 hours when working together.

Explanation:

Calculating Time to Sew a Dress Together

Sue and Helen are working together to sew a dress and we need to calculate the total time it will take them to complete the sewing when working simultaneously. Sue can sew a precut dress in 3 hours, which means Sue's rate is 1 dress per 3 hours, or
1/3 dress per hour. Helen can sew the same dress in 2 hours, which means Helen's rate is 1 dress per 2 hours, or
1/2 dress per hour. Working together, their combined rate is the sum of their individual rates:

Total rate = 1/3 + 1/2

This results in a combined rate of 5/6 dresses per hour when we find a common denominator and add the fractions. To find the time it takes them to sew one dress together, we take the reciprocal of their combined rate:

Time = 1 / (5/6) hours

This simplifies to 6/5 hours.

Therefore, Sue and Helen will take 1.2 hours to complete the dress when working together.

the fortaleza telescope in brazil is a radio telescope. its shape can approximated with the equation y=0.013x2 is the relationship between x and y linear? is it proportional? explain

Answers

Is the relationship between x and y linear?
No, the relationship between x and y is not linear, because x has power 2. To be a linear relationship the powers of x and y must be 1.
Is it proportional?
No, it is not proportional.
Only is proportional for x>0. For x<0 is inversily proportional.

we have that

the given equation is

[tex]y=0.013x^{2}[/tex]

we know that

The general linear equation is equal to

[tex]y=mx+b[/tex]

where

m and b are real numbers

Every equation in this form is a linear equation. The linear equations represent linear functions. Equations than cannot be written in this form are not linear equations, and therefore are not linear functions

The given equation is not a line, is a quadratic equation, therefore is not a linear equation, is a non linear function.

Only a linear relationship can be proportional,

the relationship is not proportional

therefore

the answer is

the relationship between x and y is a non linear function and is not proportional

please help i have 2 questions thank you

Answers

Hello,

Here is your answer:

Since the second question is already solved ill solve the first on:

The proper answer to this question is option D "17.2".

Here is how:

Formula for area:

b*w*h

3*7=21

21-3.7=17.2

Your answer is D.

If you need anymore help feel free to ask me!

Hope this helps!

Solve for j
j/-2 + 7 =-12

Answers

(j/2) + 7 = -12 // Given
(j/2) + 7 - 7 = -12 - 7 // Subtraction Property of Equality
(j/2) = -19 // Simplify
(j/2) • 2 = -19 • 2 // Multiplication Property of Addition
j = -38

If you have any questions about the process, let me know

The required value of j is 38.

What are linear equation?

A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.

Now the given expression is

j/-2 + 7 =-12

Substracting 7 both the side. We get,

j/-2 + 7 -7 = -12 - 7

Solving both sides,

j/-2 = -19

Now multiplying whole equation with -2,so the equation becomes

j = 38

which is the required value of j.

Hence,the required value of j is 38.

More about linear equation:

https://brainly.com/question/16584198

#SPJ5

The radius r of a circle is increasing at a rate of 3 inches per minute. Find the rate of change of the area when r = 5 inches and r = 21 inches. (a) r = 5 inches

Answers

A=πr²
dA/dt=dA/dr×dr/dt
dA/dr=2πr
dA/dt=2πr dr/dt
we are told that the radius is increasing at the rate 3 in/min
dr/dt=3 in/min

we are required to find:
a] (dA/dt) when radius is r=5 inch
dA/dt=2πr dr/dt
dA/dt=2π(5)×3
dA/dt=30π in²/ min

b] (dA/dt) when radius is r=21 in
dA/dt=2πr dr/dt
dA/dt=2π(21)×3
dA/dt=126π in²/min

Final answer:

The rate of change of the area of a circle with a radius increasing at a constant rate can be calculated using the derivative of the area formula. For r = 5 inches, the rate is 30π square inches per minute and for r = 21 inches, the rate is 126π square inches per minute.

Explanation:

The student is asking about the rate of change of the area of a circle when its radius is increasing at a constant rate. This is a calculus problem that involves derivatives and can be solved using the formula for the area of a circle, A = πr² where A is the area and r is the radius. The rate of change of the radius, ℓr/ℓt, is given as 3 inches per minute.

To find the rate of change of the area, denoted as ℓA/ℓt, we take the derivative of A with respect to t, using the chain rule, which gives us ℓA/ℓt = 2πr(ℓr/ℓt). When r = 5 inches, substituting the values, we obtain ℓA/ℓt = 2π(5)(3) = 30π square inches per minute. Similarly, when r = 21 inches, ℓA/ℓt = 2π(21)(3) = 126π square inches per minute.

A trapezoid has bases that measure 10 centimeters and 14 centimeters and a height that measures 8 centimeters. What is the area?

Answers

the answer is 96 cm using the formula (a+b)h/2.

Hope this helped!

Brainliest Plz?

What is the y intercept of the line given by the equation y= 8x + 75

Answers

The y intercept is (0,75)

Answer: (0,8)

Step-by-step explanation:

here you go

mittens are marked down 25% the sale price is 3.15 a pair what was the original price of a pair of mittens

Answers

$12.6 -- 25% of 12.6 is exactly $3.15

I did this by taking 3.15 / 0.25

4.20
when I do percentages at the store with sales, I always take whatever the percent off is, off the dollar amount.. so 25% would be to take 25 cents off every dollar.

For which pair of function is (g*f)(a)=|a|-2

1. f(a)=a^2-4 and g(a)= sqaureroot a
2. f(a)= 1/2a-1 and g(a)=2a-2
3. f(a)=5+a^2 and g(a) = sqaureroot (a-5)-2
4.f(a) =3 -3a and g(a)=4a-5

Answers

None of the pairs will deliver (g×f)(a). If you intend (g∘f)(a), then ...

... selection 3 is appropriate.

Answer:

The correct pair is 3

Step-by-step explanation:

[tex]f(a)=a^{2}-4 , g(a)=\sqrt{a} \\gof(a)=g(a^{2} -4)\\=\sqrt{a^{2}-4 } \neq |a|-2[/tex]

[tex]f(a)=\frac{1}{2\cdot a-1}, g(a)=2\cdot a -2\\gof(a)=g(\frac{1}{2\cdot a-1} )\\=\frac{2}{2\cdot a-1}-2\\=\frac{4-2\cdot a}{2\cdot a-1}\neq|a|-2[/tex]

[tex]f(a)=5+a^{2} , g(a)=\sqrt{a-5} -2\\gof(a)=g(5+a^{2} )\\=\sqrt{5+a^{2}-5 } -2\\=\sqrt{a^{2} } -2\\=|a|-2[/tex]

[tex]f(a)=3-3\cdot a , g(a)=4\cdot a-5\\gof(a)=g(3-3\cdot a )\\=4(3-3\cdot a)-5\\=7-12\cdot a\neq|a|-2[/tex]

Hence, the Option 3 is correct

A car travels at an average speed of 40 miles per hour for the first 100 miles of a 200-mile trip, and at an average speed of 50 miles per hour for the final 100 miles. what is the car's average speed for the entire 200-mile trip?

Answers

Total distance = 200 miles

Time needed for the first 100 miles
= 100 ÷ 40 = 2.5 hours

Time needed for the second 100 miles
= 100 ÷ 50 = 2 hours

Total time = 2.5 + 2 = 4.5 hours

Average speed = 200 ÷ 4.5 hours = 44.4 miles per hour

Find the complement of an angle whose measure is 74 degrees. Show all work.

Answers

Answer:
angle = 16°

Explanation:
Complementary angles are angles that add up to 90°
Assume that the angle that we are looking for is x.
Based on the definition of the complementary angles, the equation will be as follows:
x + 74 = 90
Now, we will simply solve for x as follows:
x = 90 - 74
x = 16°

Hope this helps :)

Answer:

16⁰

Step-by-step explanation:

Angle = 74⁰

Complement = 90 - 74 = 16⁰

Find the vertex of y = x2 + 14x − 40 by completing the square.

Answers

x = 10 x = 4 Two real solutions:

x =(14+√36)/2=7+3= 10.000

or:

x =(14-√36)/2=7-3= 4.000

What is the value of x?

Answers

There two things you need to remember with regards to your figure.
Firstly, the sum of all angles in a triangle is equal to 180.

Secondly, supplementary angles are two angles that form a straight line. In other words, the two lines sum up to 180 degrees.

Looking at your figure and the rules written above, you can then assume that the measure of angle x is equal to the sum of the two angles given inside the triangle.

53 + 45 = 98

Angle x is 98 degrees

Plzzz help will give the brainliest for correct answer

Answers

The answer would be ten.
The Pythagorean theorem is a squared plus b squared equals c.
c would equal the hypotenuse.
b is the opposite.
a is the adjacent.
you would do 24 squared plus x squared = 26 squared
after you square 24 and 26
576+x=676
-576. -576
-----------------
x=100
square root it to get
x=10
d is your answer

a²+b²=c²
24²+b²=26²
576+b²=676²
676-576=100
b²=100
Then you square root 100.
b=10
Your answer is 10!

Hope that helps! :D

Find the length of the hypotenuse of a right triangle to the nearest tenth of a foot if the lengths of the legs are 13 and 15 feet.

Answers

19.8494332413....too lazy to simplify, sorry.

JK, the answer is 19.8

A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar is now 6 cm high.
Approximately how much salsa did Kelly eat?
Round your final answer to the nearest whole number.
188 cm³
565 cm³
679 cm³
1244 cm³

Answers

I'm positive that the answer is 565 cm^3

Before we begin please note that a jar is always cylindrical in shape if not mentioned otherwise. Thus, we will take a cylindrical jar in this case.

Since Kelly eats some of the salsa and the salsa in the jar is now 6 cm high, we know that Kelly ate the amount of Salsa whose volume is missing from the jar.

To find the missing volume on the Salsa jar all that we need to do is to find the height of the missing volume which is given to us as h= 6 cm. We already know that the radius of the jar, r=6 cm. Thus, the amount of Salsa Kelly has eaten is:

[tex] V=\pi(6)^2\times 6\approx678.6\approx679 [/tex] [tex] cm^3 [/tex]

Thus, the third option is the correct answer

Read the following statement.

At least one angle is acute.

What is the first step of indirectly proving this statement?

Assume none of the angles are acute.

Assume at least one angle is obtuse.

Assume at least one angle is not acute.

Assume none of the angles are obtuse.

Answers

Answer:

Assume at least one angle is not acute.

Step-by-step explanation:

With an indirect proof, instead of proving that something must be true, you prove it indirectly by showing that it cannot be false.

An indirect prove starts assuming that the statement is false and then your goal is to arrive at a contradiction. Then, in this case, the first step of indirectly proving at least one angle is acute is assume at least one angle is not acute.

find the simplified form of (-7.4)^0?

A.-1

B.-7.4

C.0

D.1

Answers

The answer to this is d.) 1. This is because any number that is raised to the zero power is 1.

Final answer:

Any non-zero number raised to the power of 0 is 1, so the simplified form of (-7.4)⁰ is 1 that is option D is correct.

Explanation:

The simplified form of (-7.4)⁰ is determined by one of the fundamental rules of exponents, which states that any non-zero number raised to the power of 0 is 1. This means that regardless of what the base number is, as long as it is not zero, if the exponent is 0, the result will always be 1. It is important to note that 0^0 is an indeterminate form and is not covered by this rule. Therefore, the simplified form of (-7.4)⁰ is:

D. 1

2. Rhianna is buying a car for $14,390. She has a $1000 trade-in allowance and will make a $1500 down payment. She will finance the rest with a 4-year auto loan at 2.6% APR.

Answers

Answer: Her payment will be $261

To find this value, you just need to start with the numbers that you know.

First, find the cost of the loan. 14390 - 1000 - 1500 = 11890
We have to subtract her down payment and trade in allowance.

Then, we need the rate of 2.6%

Finally, the term of the loan is 4 years or 48 months.

Simply plug these values into your equation or use an online calculator. There are numerous ones you can find online.

Answer:

$261.08

Step-by-step explanation:

Worth of Car=$14,390

Trade-in allowance=$1000

Down Payment= $1500

Value of Loan=14390-(1000+1500)

=$11890

The Monthly Payment for a loan P, taken at a Monthly interest rate, r for a number of m months, is gotten using the formula:

[TeX] Monthly\:Payment=\frac{rP}{1-(1+r)^{-m}} [/TeX]

P=$11890

Monthly Interest Rate,r=0.026/12=0.002167

Number of Months, m=4*12=48 Months

[TeX] Monthly\:Payment=\frac{0.002167*11890}{1-(1+0.002167)^{-48}} [/TeX]

=$261.08

The Monthly Payment on the car loan is $261.08.

Suppose you buy a CD for $300 that earns 3% APR and is compounded quarterly. The CD matures in 3 years. How much will this CD be worth at maturity?

A. $328.14
B. $309.12
C. $309.10
D. $303.01
help?,

Answers

Amount spent at start C = $300 Rate = 3% = 0.03 Number of periods = 3 years Future Value at the maturity FV = 300 x (1 + 0.03) ^3= 300 x 1.0927 = 328 The correct answer would be 328.14

PLEASE HELP ASAP!!! 51 PTS

Answers

Answer is the first one, no doubt

The answer to this question is the first choice

y-1=-1/4(x+5)
x+5=-4y+4
x+5-5=-4y+4-5
x=-4y-1

I hope this helps!!!!!!!!!!

What is the period of the sinusoid given by y=-3cos(2pi/5 x)?

Answers

y=-3cos(2pi/5 x)
y=a cos (bx+c) +d
a=-3; b=2pi/5; c=0; and d=0
Period: P=2pi/b
P=2pi/(2pi/5)
P=2pi*[5/(2pi)]
P=(2pi*5)/(2pi)
P=5

Answer: The period of the sinusoid given by y=-3cos(2pi/5 x) is 5.

Please help asap! Match the graph with the correct equation.

Answers

The answer to this is A. y+2=-(x-4)

The first term in a geometric sequence is 1/9 and the common ratio is −3. Find the 7th term in the sequence.

Answers

The first term is 1/9 and the common ratio is -3.

Let n=7

Finding the 7th term, the answer is -3^4 = =-81

The 7th term of the sequence is 81

The nth term of a geometric sequence is expressed as:

[tex]T_n=ar^{n-1}[/tex]

a is the first term = 1/9r is the common ratio = -3n is the number of terms = 7

Substitute the given parameters into the formula to have:

[tex]T_7=1/9(-3)^{7-1}\\T_7=1/9(-3)^6\\T_7=1/9(729)\\T_7=81[/tex]

Hence the 7th term of the sequence is 81

learn more on geometric sequence here: https://brainly.com/question/12006112

Use the angle sum identity to find the exact value of cos 105

Answers

so use the angle sum identity which we know to be cos(105) =cos(45+60)=cos45 cos 60 - sin 45 sin 60

If sound travels approximately 1 km in 3 s, and the lightning is striking 10 km from your house, how much time passes between a flash of lightning and the sound of thunder?

Answers

If the lightning is 10 km and the sound takes 3 seconds to travel 1 km, then the sound takes 30 seconds to travel 10 km.

3 seconds * 10 kilometers = 30 seconds

Mr. Foley wants to randomly select 3 students for a committee. He used 3 coins to conduct a simulation to predict the probability that the committee will have at least 2 girls. The results of 16 trials of the simulation are shown below. Let H represent a girl and T represent a boy.

TTH HTH THH HHH
HTT THT THT HHT
HHT THH TTT HTT
HHH HTH TTH HHT
Based on the results of the simulation, what is the probability that the committee Mr. Foley selects will have at LEAST 2 girls?

Answers

The probability is 9/16.

This is because in the simulation, 9 of the results had 2 or 3 girls, and there was a total of 16 choices.

What is the value of x?

Answers

32 / 4 = 8
40/8 =5
x = 5

x = 5
hope this helps

You can find the distance between two points on a number line by using the Pythagorean theorem.

Answers

The distance formula is based on the Pythagorean Theorem. When you have 2 points the distance is the hypotenuse of a right triangle. So the change in x and the change in y form the legs, thus Pythagorean Theorem can solve for the distance

Answer:

It is false

Bill had saved $825 from his last 8 paychecks. He saved either 75$ or 150$ a paycheck.for the 8 paychecks,how many times did bill save $75 from his paycheck

Answers

Let us assume the number of times Bill saved $75 from his paycheck = x

Let us assume he number of times Bill saved $150 from his paycheck = y

Since he saved 75$ or 150$ for the 8 paychecks.

So, x+y=8

y=8-x (Equation 1)

Since Bill saved $825 from his last 8 paychecks using $75 or $150.

So, 75x+150y=825 (Equation 2)

Substituting the value of 'y' from equation 1 in equation 2,

[tex] 75x+150(8-x)=825 [/tex]

[tex] 75x+1200-150x=825 [/tex]

[tex] 75x-150x=825-1200 [/tex]

[tex] -75x=-375 [/tex]

x = 5

Therefore, Bill saved $75, 5 times from his paycheck.

Answer:

Step-by-step explanation:

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