The length of a rectangle is 7 les than twice the length of the width if the area of the rectangle is 15 square meters, find the dimensions of the rectangle define your variables and write an equation PLEASE HURRY SHOW STEPS

Answers

Answer 1

For the given area 15 m², The length of rectangle is 3 and breadth is 5.

The equation for calculating a rectangle's area. Rectangle's surface area. A = l × b. Once the length and breadth of a rectangle are known, its area may be computed. The area of the rectangle can be calculated as a square unit by multiplying the length and width.

Given,

Let length of rectangle = L

Breadth of rectangle = B

According to the question,

L = 2B - 7

Area = 15 m²

Area of rectangle = Length × Breadth

15 = (2B - 7)(B)

⇒ 15 = 2B² - 7B

⇒ 2B² - 7B - 15 = 0

⇒ 2B² - 10B + 3B - 15 = 0

⇒ 2B(B - 5) + 3(B - 5) = 0

⇒ (2B + 3)(B-5) = 0

⇒ B = 5 or B = -3/2

The value of Breadth cannot be negative

L = 2(5) - 7

L = 3

The length of rectangle is 3 and breadth is 5.

To learn more about area of rectangle from given link

https://brainly.com/question/2607596

#SPJ1


Related Questions

Si se organizan los niños de mayor a menor de acuerdo con su estatura, ¿cuál es el orden correcto? A. Andrés, Samuel, Laura y Valeria. B. Samuel, Andrés, Valeria y Laura. C. Laura, Valeria, Andrés y Samuel. D. Valeria, Laura, Samuel y Andrés.

Answers

Answer:

A. Andres, Samuel, Laura y Valeria.

Step-by-step explanation:

The height of Andres is greater than all other students. Andres has height of 4.2feet.  Samuel is second highest in height and he has height of 4.0 feet. The lowest height student is Valeria who has 3.5 feet height.

May you please help me with this

Answers

Answer:

ratio of a is 44:56, ratio of b is 97:3

fraction of a is 44/100, fraction of b is 97/100

decimal of a is 0.44, decimal of b is 0.97

percent of a is 97%, and percent of b is 97%

if this is wrong im so sorry :()()()()(

step-by-step explanation:

What is the value of 2 (38 –14) + 38 = 9?

Answers

Answer: 2(38−14)+38=?9

86≠9

False

Step-by-step explanation: hope this help

WILL MARK AS BRAINLIEST Write a complete Spanish sentence to indicate what the following people
eat/drink each day. Make sure to capitalize the first word of the sentence, end
with a period and include the correct article (el, la, los, las)! If there is more
than one of an item, you need to make that food/beverage plural. Follow the
model.

Answers

please help i have the same question!

Which expression is equivalent to |a|≤5 ?


a ≥ –5 or a ≤ 5


a ≥ –5 and a ≤ 5


a ≤ –5 and a ≥ 5


a ≤ –5 or a ≥ 5

Answers

Answer:

I think its  the first one but not 100 % sure

Step-by-step explanation:

Answer:

A>= -5 and A<= 5

Step-by-step explanation:

Find the area of the shaded region.

Answers

Answer:

80

Step-by-step explanation:

multiply 10 by 8

  (If it is not right... i apoligize but i don't see a shaded region)

Answer:

80 in

Step-by-step explanation:

To find the area of a rectangle, you have to multiply the length and height of the rectangle. When you do you will get 80 in

Hope this Helped

QUESTION: If Z is the incenter of (triangle shape)TUV, find m(triangle shape)ZTV .

x =

m(triangle shape)ZTV = _ degrees

Answers

Solution :

It is given that Z is the incenter

So, we get from the figure

[tex]$5x +1= 8x -14$[/tex]

⇒ [tex]$-3x = -15$[/tex]

⇒ x = 5

So, [tex]$5x+1 = 26 ^\circ \text{ and}\ 8x-14 = 26^\circ$[/tex]

We have to find ∠ ZTU.

In Δ UTV,

∠ TUV + ∠ UTV + ∠ TVU = 180°

⇒ (2 x 21°) + ∠ UTV + (2 x 26°) = 180°

⇒ ∠ UTV  = 180° - 52° - 42°

                = 86°

So, [tex]$\angle ZTV = \frac{1}{2} \ \angle UTV$[/tex]

                 [tex]$ = \frac{1}{2} \times 86^\circ$[/tex]

                 [tex]$=43^\circ$[/tex]

Therefore, m ∠ ZTU = 43°

what do u mean by trigonometry ​

Answers

Answer:

Step-by-step explanation:

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.

Basic Formulas

By using a right-angled triangle as a reference, the trigonometric functions or identities are derived: sin θ = Opposite Side/Hypotenuse. cos θ = Adjacent Side/Hypotenuse. tan θ = Opposite Side/Adjacent Side.

Main Trigonometric Functions

Sine (sin)Cosine (cos)Tangent (tan)Secant (sec)Cosecant (csc)Cotangent (cot

Both depend on distances and angles, but trigonometry uses the measurement of angles while geometry deals with angles only in terms of equality of angles and sums of angles. Actually, it seems like basic calculus is easier than basic trigonometry.

(hope this helps can i plz have brainlist :D hehe)

if k is the incenter of def find each measure

Answers

Answer:

Step-by-step explanation:

Si una persona compra diariamente 2 1/2 de carne ¿Cuántos kilogramos de carne habrá comprado en 6 días? -15 kilos -16 kilos -17 kilos -20 kilos

Answers

Answer:

Kg de carne= 15 kg

Step-by-step explanation:

Dada la siguiente información:

Una persona compra 2.5kg de carne por día.

Tenemos que calcular cuántos kg de carne compra en 6 días. Para esto debemos usar la siguiente formula:

Kg de carne= kg por día*cantidad de días

Kg de carne= 2.5*6

Kg de carne= 15 kg

Help a dmb person out
You are renting a Porsche for the day. There is a daily fee of $50 and a charge of $0.50 per mile. Your budget allows a maximum total cost of $100. How many miles can you travel in the car on your budget?

Answers

Answer:

100 miles

Step-by-step explanation:

The perimeter of a rectangular atrium is 300 yards. The length of the garden is ninety-six yards more than the width. Find the length and the width

Answers

Answer:The perimeter of a rectangular atrium is 27 yards in width and 123 yards in length.

Step-by-step explanation:

Step 1

The perimeter of a rectangular atrium is given as 2( l+b)

The perimeter of a rectangular atrium is 300 yards.

Let the width be represented as x

such that the

The length of the garden which is ninety-six yards more than the width is expressed as x+ 96

and the expression to solve for length and width will now be

Step 2

Perimeter = 2(l+b) = 2l + 2b

300=2( x+96) + 2 x

300= 2x+ 192 + 2x

300= 192+ 4x

300-192=4x

108=4x

x=108/4

x=27

width = 27 yards

length = x+ 96= 27 +96=123 yards

letter d is 7 someone help me please!!!!

Answers

Answer:

The answer is A. -7

Step-by-step explanation:

76 + 41 = 117

117 + 70 = 187

187- 7 = 180

Hope this helps

Answer:

A -7

Step-by-step explanation:

the angles of a triangle add up to 180

76+41+70 = 187-7 180

PLEASE HELP ME ASAP FOR BRAINLIST AND EXPLAIN

Answers

Answer:

Option B  (4/9)

Step-by-step explanation:

Probability is the number of outcomes that you would want to happen over the number of all outcomes that are possible. On each dice, there are 4 numbers less than five. Now we need to find all possible combinations of these numbers and we do that by mulitply 4 x 4.

4 x 4 = 16

Now we just find the number of all possible outcomes and that would be...

6 x 6 = 36

Now 16 over 36 will be...

16/36 = 4/9

If the circumference of a circle is 62.8 feet what is the radius of the circle

Answers

Answer: r≈ 9.99ft

Using the formula

C=2 π r

Solving for r

r= C/2π = 62.8/2·π ≈9.99493ft

Roberto can lift 103.5 pounds. That is .9 times the amount his friend Vance can lift. Can Vance lift more or less than 103.5 pounds?

Answers

Answer:

Step-by-step explanation:

Vance can lift 0.9×103.5 pounds.

0.9 < 1, so you know that

0.9×103.5 < 103.5

An airplane is flying at a constant speed. The airplane descends 450 meters in 9 seconds. Write the speed of the airplane as an integer.

Answers

Answer: Speed = 50meters/ second

Writing as an integer becomes + 50meters/ second 0R  50meters/ second

Step-by-step explanation:

Speed is given as   = Distance / Time

distance covered  by Airplane  = 450 meters

Time = 9 seconds

Therefore,  Speed = 450/ 9 = 50 meters/second

how to find lateral surface and total surface area of triangular prism​

Answers

Answer:

using the formula ...........duh

Answer:

Lateral Surface Area of a Triangular Prism Formula

Finds the total area contained by the three rectangular sides of the prism. You can think of the lateral surface area as the total surface area of the prism minus the two triangular areas at the top and bottom of the prism.

Johnny is standing on a platform 12 meters high throw ball up velocity 11 meters what time will ball hit the ground after 2 seconds

Answers

Answer:

The ball will hit the ground after 1.54 seconds

Step-by-step explanation:

This is a form of projectile motion in horizontal direction

Thus, time taken to reach the ground

[tex]t = \sqrt{\frac{2*d}{g} }[/tex]

Substituting the given values in above equation, we get -

[tex]t = \sqrt{\frac{2* 12}{10} } \\t = 1.54[/tex]seconds

Answer the photo below thanks

Answers

Answer: C. Never

Similar polygon are never different shapes. They are always the same shape. As usual, read the question carefully before choosing an answer.

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

help brainliest if right

Answers

Answer:

y = 1x + 7

Step-by-step explanation:

The equation formula for this scenario is y = mx + b

m = slope

b = y-intercept

To find the slope, pick two points. I picked (2,9) and (4,11).

Subtract 11 from 9, you'll get 2.

Subtract 4 from 2, you'll get 2.

2/2 equals 1.     The slope (m) = 1

To find the b, y-intercept, plot the points on a graph and see if the linear line across the y-intercept.  For this case, the y-intercept is 7.

The equation is:  y = 1x + 7

Brendan has $65 worth of balloons and flowers delivered to his mother. He pays the bill plus an 8.5% sales tax and an 18% tip on the total cost
including tax. He also pays a $10 delivery fee that is charged after the tax and tip. How much change does he receive it he pays with two $50
bills ? Round to the nearest cent

Answers

Answer:

6.77

Step-by-step explanation:

Answer:

Step-by-step explanation:

HEEEEELP The height of a street light is 50 feet. It casts a 40−foot shadow. At the same time, a man standing next to the street light casts a 5−foot shadow. How tall is the man?

Answers

Answer:

5 foot

Step-by-step explanation:

A 24-ft ladder leans against the outside wall of a school, waiting for someone to climb and fix a broken window. The base of the ladder is 15 ft from the base of the building. Before Levi climbs the ladder, he wants to make sure he has the ladder at a safe angle with the building before climbing. Find the angle of elevation the ladder makes with the ground.

a. approx. 51.3°

b. approx. 32.0°

c. approx. 38.7°

d. approx. 58.0°​

Answers

I am learning this right now but in two hours I will tell you

Answer:

A) 51.3 degrees

Step-by-step explanation:

cosine x=15/24=0.625

x=51.32 degrees

pls help me thank you!

Answers

Answer:

D.

If possiable may i have brainlist?

Find the x-intercept and and y-intercept algebraically

y = log2 (x + 1) - 3

need work

Answers

Answer:

x intercept is 7 y intercept is -3

Step-by-step explanation:

Write equation out and have y=0

[tex] log_{2}(x - 1) - 3 = 0[/tex]

Add 3 to both sides

[tex] log_{2}(x - 1) = 3[/tex]

Using the log to exponet rule

[tex] (log_{b}(x) = y ) \: equal \: b {}^{y} = x[/tex]

Where b and x are real numbers and b cannot equal 1.

Reorder the equation as a exponet

[tex] log_{2}((x + 1) = 3[/tex]

[tex] {2}^{3} = x + 1[/tex]

Simplify

[tex]8 = x + 1[/tex]

Subtract 1 from both sides

[tex]x = 7[/tex]

So the x intercept is 7

To find y intercept plug 0 in as x

[tex] log_{2}(0 + 1) - 3 = y[/tex]

[tex] log_{2}(1) - 3 = y[/tex]

Add 3 to both sides

[tex] log_{2}(1) = y + 3[/tex]

Rewrite in exponet form

[tex] {2}^{y + 3} = 1[/tex]

Using the zero exponet property, anything to the zero power equal 1 so we must find a value that equal out to zero using the exponet so we'll set up the equation

[tex]y + 3 = 0[/tex]

Subtract 3 from both sides and we get

[tex]y = - 3[/tex]

So the x intercept is 7 and the y intercept is -3

116 is less than a number, R increased by 35?

Answers

Answer:

R - 116 + 35 is your expression I am pretty sure

Daniel want to know the volume of his cube, he notices the the cube has 1/5 centimeters side length, what is the volume of the cube?

Answers

Answer: 1/125cm³

Step-by-step explanation:

The volume of a cube is gotten by multiplying the side length given by itself thrice.

Since the cube in the question has a side length of 1/5cm, the volume of the cube will be:

= 1/5 × 1/5 × 1/5

= 1/125cm³

Therefore, the volume of the cube is 1/125cm³

Mary drove from her home to the library after she left the library she drove to the park after that she drove home the map shows the past you took how far did Mary Drive?

Answers

Answer:

24 miles

Step-by-step explanation:

Distance formula (d):

D = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

Home to library

(-4, 1) ; (-4, 9)

D1 = sqrt((-4 + 4)^2 + (9 - 1)^2)

D1 = 8

Library to park :

(-4, 9) ; (2, 1)

D1 = sqrt((2 + 4)^2 + (1 - 9)^2)

D3 = 10

Park to home :

(2, 1) ; (-4, 1)

D1 = sqrt((-4 - 2)^2 + (1 - 1)^2)

D2 = 6

a zoo has two fewer elephants then zebras and five times more monkeys then elephants. the total number of elephants, monkeys, and zebras is 30

Answers

4 elephants

20 monkeys

6 zebras

//

z - 2 = elephants

(6) - 2 = 4 elephants

5(e) = monkeys

5(4) = 20 monkeys

20 + 4 + 7 = 30

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