The sides of a rectangle are in the ratio of 5:6. If its longer side is 7.2 in., find the shorter side, the perimeter, and the area of this rectangle.

Answers

Answer 1

Answer:

The shorter side is 6.

The perimeter is 26.4 inches.

The area is 43.2 inches[tex]^{2}[/tex]

Step-by-step explanation:

The ratio 5;6 and the given longer side is 7.2 in.

Since it is the longer side, the '6' in the ratio is 7.2 in.

Let x be the shorter side

5:6 = x : 7,2

Divide 7.2 to 6.

7.2 ÷ 6 = 1.2

Then multiply 1.2 to 5.

1.2 * 5 = 6

So the shorter side is 6.

L = 7.2

W = 6

Now to find the perimeter, let's use the formula

P = 2L + 2W

Let's put the values in the formula

P = 2(7.2) + 2(6)

P = 14. 4 + 12

P = 26.4

The perimeter is 26.4 inches

To find the area, let's use the formula

A = LW

A = (7.2)(6)

A = 43. 2 inches[tex]^{2}[/tex]

Answer 2

Answer:

shorter side= 6

p= 26.4  

a= 43.2

Step-by-step explanation:


Related Questions

Find x. please help me!!

Answers

Answer:

I want to say B.

Step-by-step explanation:

The sum of the ages of a woman and her
son is 64 years. In 4 years time the woman
will be three and half times as old as her
son. How old were they three years ago?

Answers

Step-by-step explanation:

sorry for my ugly handwriting, hope it helps

Sup!! can you answer this?
also answer fast kid

Answers

Answer:

try d) 17 m

sorry if it's wrong

What is the approximate area of a circle with a diameter of 10in

Answers

Answer:

A≈78.54in²

Step-by-step explanation:

Can I have brainliest pls?

If the area of a rectangle is x^2+5x+6, and x represents 15 cm, what is the perimeter of the rectangle?

Answers

Answer:

To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'.

Step-by-step explanation:

Annelise buys a car that is one year old for $13600.
The value of this car has reduced by 15% of the value when it was new.
Calculate the value of the car when it was new.

Answers

Answer:

$16000

Step-by-step explanation:

Initial value is x, current value is $13600, price reduction by 15%.

x - 15% = 13600x - 0.15x = 136000.85x = 13600x = 13600/0.85x = 16000

Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.
A)Write a formula for the area of the figure below. (5pts)

Answers

Answer:

A = 8a + [tex]\frac{1}{2}[/tex]πa²

Step-by-step explanation:

The figure consists of a rectangle and a semi- circle

area of rectangle = 4 × 2a = 8a

area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )

                                = [tex]\frac{1}{2}[/tex]πa²

Then area (A ) of figure is

A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term

   = [tex]\frac{1}{2}[/tex] a(16 + aπ)

prove that: (sinθ/1+cosθ) + (1+cosθ/sinθ) = 2cosecθ
[tex] \: prove \: that: \frac{ sinθ}{1+cosθ}+ \frac{1+cosθ}{sinθ} = 2 \: cosec \: θ [/tex]

Answers

Consider LHS

(sinθ/1+cosθ) + (1+cosθ/sinθ) =

= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]

= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]

= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]

[°.° (a+b)² = +2ab+]

Here, a = 1, b = cosθ

= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]

= [1+1+2cosθ]/[(1+cosθ)sinθ]

[°.° sin²θ+cos²θ = 1]

= [2+2cosθ]/[1+cosθ)sinθ]

= [2(1+cosθ)]/[(1+cosθ)sinθ]

= 2/(sinθ)

[°.° 2/sinθ = cosecθ]

= 2cosecθ = RHS.

Hence, Proved.

Read more:

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If cosθ =1/3 , then sinθ = _____.

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Verify the identity. cotθ * sinθ * secθ = 1 Which of the following four statements establishes the identitiy? A. cotθ *sinθ *secθ = sinθ/cosθ * sinθ * 1/cosθ = ...

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BrainlyCPT~

Brainly Team

Which graph is a quadratic graph? A. graph A B. graph B C. graph C D. graph D

Answers

Answer:

graph ab

Step-by-step explanation:

Answer: A. Graph A

Step-by-step explanation:I just did it and got it right...

25 points! I really need some help.

Answers

Answer:

c ≤  4 1/3  

Step-by-step explanation:

10.25 + 2.25c ≤ 20    solve the equation if there was an = in the equation

10.25 + 2.25c = 20

-10.25            = -10.25

          2.25c = 9.75

                   c = 9.75 ÷2.25

                    c = 4.3333

                       [tex]c = 4\frac{1}{3}[/tex]

Now replace the ≤ into the equation:  

c ≤  4 1/3        

I don’t get it and I’m struggling to answer it.

Answers

If the path is 2 feet wide, you actually have 14 feet of length and 6 of width.

Multiply that together and he has 84 ft left

(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)

Answers

Answer:

5.39

Step-by-step explanation:

To find the third side (let's call it x) you plug the side lengths given into the Pythagorean theorem to get:

5² + 2² = x²

Which, simplified, is:

25 + 4 = x²

And to get x, you do:

x=√(29)

So, if you want it to the nearest hundredth, it is 5.39.

square root of 29.00

Step-by-step explanation:

5square +2square=29 to the nearest hundredth 29.00 .but there is no square root of 29

plz help look at the pic below

Answers

Answer:

You can use the exponential rule where

[tex](n^x)^y=n^{xy}[/tex]

Therefore,

[tex](a^3)^{-2}=a^{3*(-2)}=a^{-6}[/tex]

[tex]\\ \rm\leadsto (a^3)^{-2}[/tex]

(a^m)^n=a^mn

[tex]\\ \rm\leadsto a^{-6}[/tex]

[tex]\\ \rm\leadsto \dfrac{1}{a^6}[/tex]

Find the slope of the line y=-1/4x+1

Answers

Answer:

slope is -1/4 the number before the x is the slope

Step-by-step explanation:

Answer:

The slope is -1/4

Step-by-step explanation:

The equation is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = -1/4x +1

The slope is -1/4 and the y intercept is 1

A toy rocket is launched from the ground, the equation

h= -16t^2+ 80t, models the height of the rocket h in feet at any timet

in seconds.

For which interval of time will the rocket be higher than 64 feet off the

ground?

Answers

Answer:

Step-by-step explanation:

We can graph the function and determine the points where the y value line is greater than 64 feet.  We could also solve the equation for h = 64.

Graphing:

A graph is attached.  The intersections of the line at height = 64 feet are at (1,64) and (4,64).  The first is going up and the second coming down.  The period of time the rocket is above 64 feet is from 1 to 4 seconds.

Solving:

h= -16t^2+ 80t

64 = -16t^2+ 80t

-16t^2+ 80t - 64 = 0

Solve using the quadratic formula:

We get two answers:  1 and 4 (seconds)

can someone help me please ​

Answers

Answer:

3: 55 degrees

4: 128 degrees

Step-by-step explanation:

A straight line is 180 degrees and so you do 180-125 to get 55 degrees

180-58 is 128 degrees

What is the value of x

Answers

Answer:

16

Step-by-step explanation:

(3x +3) + (5x-2) + (3x+3) =180

3x +3 + 5x-2 + 3x+3 =180

11x +4=180

11x =180-4

11x=176

x=176/11

x= 16

Find the slope. simplify if needed.

(-10,5) and (2, -3)

Answers

-2/3 is the slope , hope this helps

Solve pls brainliest

Answers

Answer:

$180

Step-by-step explanation:

simple interest means that interest is paid every year on the original $200

To find 3% of 200, you multiply 200(.03) = $80.

$200(3)=$60

Since the interest is the same, 3(60) = $180

Hope this helps

Are the ratios 2:3 and 8:12 equivalent? Justify you answer.

Answers

Answer:Yes

Step-by-step explanation:You are multiplying the ratios by 4

Is - 1/2 equivalent to 1/-2

Answers

YES

- 1/2 is equivalent to 1/-2

The detailed answer is in the image attached.

Hope it helps you.....

Please mark as Brainlliest!!!

the coordinates of the point of intersection of lines px + y = 3 and x + 2y = q are (2, -3). find the value of p and q

Answers

Answer:

p = 3 and q = - 4

Step-by-step explanation:

Substitute the coordinates of the solution (2, - 3 ) into the equations and solve for p and q

px + y = 3 , then

2p - 3 = 3 ( add 3 to both sides )

2p = 6 ( divide both sides by 2 )

p = 3

and

x + 2y = q , then

2 + 2(- 3) = q

2 - 6 = q , so

q = - 4

miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following​

roots of the quadratic 3
discriminant
nature of roots
sum of the roots
product of the roots​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

roots of the quadratic equation ~

[tex]2 \: \: \: \:a nd \: \: - 10[/tex]

discriminant ~

[tex]144[/tex]

nature of roots ~

[tex]real[/tex]

sum of the roots ~

[tex] - 8[/tex]

product of the roots ~

[tex] - 20[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

Let's solve he given quadratic equation using quadratic formula ~

Let's consider the following values ~

b (Coefficient of x) = 8

a (Coefficient of x²) = 1

c (Constant term) = -20

According to quadratic formula, the roots are ~

[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]

where, ( b² - 4ac ) is known as it's discriminant ~

that is equal to ~

[tex](8) {}^{2} - (4 \times 1 \times - 20)[/tex]

[tex]64 - ( - 80)[/tex]

[tex]64 + 80[/tex]

[tex]144[/tex]

Hence, Discriminant = 144

And since discriminant is positive, then the roots of the quadratic polynomial are real .

Let's find the roots now ~

[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex]

[tex] \dfrac{ - 8 \pm \sqrt{144} }{2 \times 1}[/tex]

[tex] \dfrac{ - 8 \pm12}{2} [/tex]

[tex] \dfrac{ 2( - 4 \pm6)}{2} [/tex]

[tex] - 4 \pm6[/tex]

So, the two roots are ~

[tex] - 4 + 6[/tex]

[tex]2[/tex]

and

[tex] - 4 - 6[/tex]

[tex] - 10[/tex]

Sum of roots ~

[tex] - 10 + 2[/tex]

[tex] -8[/tex]

product of roots ~

[tex] - 10 \times 2[/tex]

[tex] - 20[/tex]

Yes this can be correct just depends on if you do it

what is the hcf of 18 27 and 81 by prime factorization​

Answers

Answer:

9

Step-by-step explanation:

It's been a while since i've dealt with prime factors hopefully this is correct.

Which expression is equivalent to 4(6 - 2x) ?

Answers

Answer:

Option A

Step-by-step explanation:

[tex]4(6-2x)\\\rule{150}{0.5}\\\rightarrow ((6 * 4) ( -2x*4)) \leftarrow \text{Distribute the '4' into the content in the parenthesis.}\\\\\\\\\rightarrow 6 * 4 = 24\\\\\rightarrow -2x * 4 = -8x\\\\\\\\\rightarrow 4(6-2x) = \boxed{24 - 8x}[/tex]

Hope this helps.

It took 5 days for a committee of 7 pupils to clean the auditorium for the school program. How many days would have taken the committe of 10 pupils to do the same work?

Answers

Answer:

3.5 days

Step-by-step explanation:

If it takes 7 pupils 5 days, then it would take 1 pupil 7 times as long, or 35 days.

1 pupil alone cleans the auditorium is 35 days.

10 pupils work 10 times faster than 1 pupil, so 10 pupils take 3.5 days.

Identify the shapes in the picture ​

Answers

Answer:

we're are the images pls

Find the time it takes for a rocket following the path, h(x) = -2x2 + 18, to hit the ground. 2 sec 3 sec 8 sec 9 sec

Answers

The time it takes for a rocket  to hit the ground is 3 seconds

Step-by-step explanation:

We are given equation for height as

where

x is the time in seconds

When object hits the ground

then height becomes 0

so, we can set h(x)=0

and then we can solve for x

Subtract both sides by 18

So,

the time it takes for a rocket  to hit the ground is 3 seconds

HELP PLEASE AHH I WILL GIVE BRAINLIEST

Answers

Answer:

140 Minutes

Step-by-step explanation:

Y = 0.125x ---> Corinne every 1 minute

Y = 3.5 + .1x ----> Aretha

0.125x = 3.5 + .1x

-.1x               - .1x

0.025x = 3.5

0.025x/.025 = 3.5/.025

x = 140 minutes

How do I know if the point will be above the line

Answers

Answer: Para demostrar cómo calcular esto, digamos que tenemos una línea que pasa por un punto p con dirección v, es decir, parametrizada como \ gamma (t) = \ mathbf {p} + t \ mathbf {v}.

Sea L una rotación de 90 grados hacia la izquierda. Entonces, un punto x está a la izquierda de su línea si \ langle \ mathbf {x} - \ mathbf {p}, L \ mathbf {v} \ rangle es positivo, a la derecha si es negativo, y en la misma línea si es cero.

Respuesta 2:

Una línea en un plano no tiene un lado preferido, por lo que sin algo que distinga los lados de una línea, no puede haber una cuestión de qué lado de una línea se encuentra un punto.

Sin embargo, puede preguntar si dos puntos en ese plano, no en la línea, se encuentran en el mismo lado de la línea. Si el segmento de línea entre esos dos puntos se cruza con la línea, entonces se encuentran en lados opuestos de la línea; de lo contrario, se encuentran en el mismo lado de la línea.

Respuesta 3:

Trace la línea en una gráfica, digamos x = y. Cualquier coordenada de un punto donde xey son =, entonces se encuentra en la línea (17,17).

Si x es mayor que y, nuestro punto estará por debajo de la línea (3,2).

Si y es mayor que x, el punto estará por encima de la línea (1,2).

Si su línea es y = 2x, entonces y tendría que ser mayor que 2x para estar por encima de la línea.

Nuestra comparación en este gráfico xy está por encima o por debajo. Esto se debe a que generalmente hacemos referencia a nuestra línea ay =. Si lo reescribimos como x =, nuestra misma línea comparada con x sería a la izquierda o derecha de.

Step-by-step explanationNuestra comparación en este gráfico xy está por encima o por debajo. Esto se debe a que generalmente hacemos referencia a nuestra línea ay =. Si lo reescribimos como x =, nuestra misma línea comparada con x sería a la izquierda o derecha de.:

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