The length of a rectangle is 10 yd less than three times the width, and the area of the rectangle is 77 yd^2. Find the dimensions of the rectangle.

Answers

Answer 1

Answer:

width = 7, length = 11

Step-by-step explanation:

area = 77

length = 3w - 10

width = w

w(3w - 10) = 77

3w^2 - 10w - 77 = 0

(3w + 11)(w - 7) = 0

we rule out 3w + 11 = 0 because w would be negative

so we use w - 7 = 0

so the width = 7

length = 3w - 10

length = 21 - 10

length = 11


Related Questions

What are the measures of Angles a,b, and c? show your work and explain your answers.​

Answers

Answer:

a=35

b=55

c=110

Step-by-step explanation:

a=35

Opposite angles which are non-adjacent angles formed by two intersecting lines are equal

b+35+90=180 sum of interior angle of a triangle equal to 180

b=180-125

  =55

c+70=180  Angles on a straight line add up to 180°

c=180-70

 =110

The following sample of weights was taken from 8 cookies off the assembly line. Construct the 95% confidence interval for the population variance for all cookies that come off the assembly line. Round your answers to two decimal places.

9.6,10.2,10.3,9.2,9.5,10.1,9.2,9.4

Answers

Answer:

what are you asking

Step-by-step explanation:

Find the arclength of the curve r(t) = ⟨ 10sqrt(2)t , e^(10t) , e^(−10t)⟩, 0≤t≤1

Answers

Answer:

[tex]\displaystyle AL = 2sinh(10)[/tex]

General Formulas and Concepts:

Pre-Calculus

Hyperbolic Functions

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Exponential Differentiation

Integration

IntegralsIntegration Constant CDefinite Integrals

Parametric Integration

Vector Value Functions

Vector Integration

Arc Length Formula [Vector]:                                                                               [tex]\displaystyle AL = \int\limits^b_a {\sqrt{[i'(t)]^2 + [j'(t)]^2 + [k'(t)]^2}} \, dt[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \vec{r}(t) = <10\sqrt{2}t , e^{10t} , e^{-10t} >[/tex]

Interval [0, 1]

Step 2: Find Arclength

Rewrite vector value function:                                                                     [tex]\displaystyle r(t) = 10\sqrt{2}t \textbf i + e^{10t} \textbf j + e^{-10t} \textbf k[/tex]Substitute in variables [Arc Length Formula - Vector]:                               [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{\bigg[\frac{d}{dt}[10\sqrt{2}t \textbf i]\bigg]^2 + \bigg[\frac{d}{dt}[e^{10t} \textbf j]\bigg]^2 + \bigg[\frac{d}{dt}[e^{-10t} \textbf k ]\bigg]^2}} \, dt[/tex][Integrand] Differentiate [Respective Differentiation Rules]:                     [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{[10\sqrt{2} \textbf i]^2 + [10e^{10t} \textbf j]^2 + [-10e^{-10t} \textbf k]^2}} \, dt[/tex][Integrand] Simplify:                                                                                       [tex]\displaystyle AL = \int\limits^1_0 {\sqrt{200 \textbf i + 100e^{20x} \textbf j + 100e^{-20x} \textbf k}} \, dt[/tex][Integral] Evaluate:                                                                                         [tex]\displaystyle AL = 2sinh(10)[/tex]

Topic: AP Calculus BC (Calculus I + II)

Unit: Vector Value Functions

Book: College Calculus 10e

Ben travels a regular distance of 80 miles to reach office. Today, he used an alternative route that covered a distance of only 75 miles. What is the decrease in the percentage of the distance travelled by ben

Answers

Answer:

Ben traveled 93.75% of his usual distance.

Step-by-step explanation:

Given that Ben travels a regular distance of 80 miles to reach office, and today he used an alternative route that covered a distance of only 75 miles, to determine what is the decrease in the percentage of the distance traveled by Ben, the following calculation must be done:

80 = 100

75 = X

75 x 100/80 = X

93.75 = X

Therefore, Ben traveled 93.75% of his usual distance.

help me please. who ever answers gets brainliest​

Answers

Answer:

32

Step-by-step explanation:

(4x6)/2+(2x2)/2+2x2+(2x6)/2

Find the nominal rate jm equivalent to the annual effective rate j, if (a) j= 6%, m = 2; (b) j = 9%, m = 4; (c) j = 10%, m = 12; (d) j = 17%, m = 365; (e)j = 8%, m = 52; j = 11.82%, m = 00. Ans. (a) 5.91%; (b6) 8.71%; (e) 9.57%; (d) 15.70%; (e) 7.70%:

A consumer buys goods worth $1500, paying $500 down and $500 at the end of 6 months. If the store charges interest at j1a = 18% on the final payment will be necessary at the end of one year? ​

Answers

Peer maamanana is the Jane homier

What lines are parallel?

Answers

Answer:

Parallel lines are lines that never intersect or touch

No image? No help. Sorry if this doesn’t help

A vending machine dispenses coffee into a twenty-ounce cup. the amount of coffee dispensed into the cup is normally distriubuted with a standard deviation of 0.03 ounce. You can allow the cup to overfill 2% of the time. What amount should you set as the mean amount of coffee to be dispensed?

Answers

Answer:

x=20.938

Step-by-step explanation:

-2.053748911 = (x - 21)/.03

x=20.938

How many ways can four marbles be chosen from a set of five marbles?

Answers

Answer:

120

Step-by-step explanation:

5x4x3x2x1=120

Express the equation 5(x-8)^2=y-12 in the form y=a(x-h)+k, then identify a,h, and k.

Answers

9514 1404 393

Answer:

y = 5(x -8)^2 +12a=5h=8k=12

Step-by-step explanation:

  5(x-8)^2=y-12 . . . . given

  y = 5(x -8)^2 +12 . . . . add 12

Comparing to the required form, we see that ...

a = 5h = 8k = 12

I WILL MARK AS BRAINLIES

PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING

Answers

Answer:

Both are true

Step-by-step explanation:

Both are true

|x|+|x+1|+|x+2|+|x+3|+...+|x+2021=2021x

Answers

Answer:

jo pahle wale X hai na na X + x plus 1 unhen Yad Karke answer 1 aaega FIR X + 2 =_= + 3 X + 3 yah answer Aaya 1 or 2 X + ka ok

Step-by-step explanation:

FIR hai x+ x and ++ 2021 x

2021x

FIR + Kannan donon ko x

ans

x - 3 X

x - 4042

yah answer aayega ine donon ka the solve this question ok friend

Samuel baked 81 cakes how many more cake does Samuel have to bake to have 123 cakes

Answers

Answer:

42 cakes

Step-by-step explanation:

123 - 81 = 42

.....

Samuel needs to bake 42 more cakes to have a total of 123 cakes.

To find out how many more cakes Samuel needs to bake to have a total of 123 cakes, we subtract the number of cakes he already baked from the desired total.

Total desired cakes: 123

Cakes already baked: 81

To find the remaining cakes, we subtract the number of cakes already baked from the desired total:

123 - 81 = 42

Therefore, Samuel needs to bake 42 more cakes to have a total of 123 cakes.

To know more about  cakes , here

https://brainly.com/question/30083703

#SPJ2

My son is 31 years younger than me. In one years time my son's age will be one quarter my current age. How old am I? ​

Answers

I want to say 128 but I feel like that is wrong

700,000 rounded to the nearest hundred thousand

Answers

Answer:

700,000

Step-by-step explanation:

700,000 is already a 100,000, therefore there is no rounding to do.

Answer:

700,000 is the answer

Step-by-step explanation:

Wesley is making a patio from stones of two sizes, 5 inch wide and 10 inch wide. He wants to begin and end his pattern with a 10 inch stone so there will be one more of the 10 inch stones than of 5inch stones. His patio will be 130 inches wide.

How many 10 inch stones will Wesley need for one row?

Answers

9514 1404 393

Answer:

  9

Step-by-step explanation:

If x is the number of 10-inch stones, then (x-1) is the number of 5-inch stones, and the total width is ...

  10x +5(x-1) = 130

  15x -5 = 130 . . . . . . . eliminate parentheses

  15x = 135 . . . . . . add 5

  x = 9 . . . . . . . divide by 15

Wesley will need 9 10-inch stones for one row.

Dos coches están separados por una distancia de 12000 m salen al encuentro uno del otro, el primero con una aceleración de 5,6 m/s2 el segundo con 10,4 m/s2 , calcula el tiempo y la distancia de encuentro.


Un bus parte del reposo con una aceleración de 3,2 m/s2 y en ese mismo momento a 2 km de distancia, sale otro en sentido opuesto, también partiendo del reposo pero con una aceleración de 6,5 m/s2. Calcular la distancia y el momento de encuentro.


Dos vehículos separados por 1300 m parten al encuentro en el instante t=0. El primero lo hace con una velocidad inicial constante de 15 km/h. El segundo parte desde el reposo y con una aceleración de 1,2 m/s2. ¿A qué distancia de la salida del primer vehículo se encuentran?


Un automóvil se desplaza por una carretera que es paralela a la vía de un metrotren. El automóvil se detiene ante un semáforo que está con luz roja en el mismo instante que pasa un metrotren con una rapidez constante de 14 [m/s]. El automóvil permanece detenido durante 8 s y luego parte con una aceleración constante de 2,5 [m/s2 ]. Determine:

a)El tiempo que emplea el automóvil en alcanzar al metrotren, medido desde el instante en que se detuvo ante el semáforo.

Un micro parte del reposo y acelera a razón de 1,4 m/s2 . En este instante un pasajero que desea abordarlo, se encuentra a 12 [m] por detrás de la puerta y corre con una velocidad constante de 5 m/s.

a) Determinar si el pasajero alcanza o no al micro


Salva mi trimestre

Answers

Answer:

la respuesta es la primera ( a )

Step-by-step explanation:

In the figure, triangles ABC and DEF are congruent.
Find the measure of DF.
a. 13m
b. 13m
c. 7m
d. 13.928m
Please show work to help me understand.

Answers

Answer:

since the two triangles are congruent..

AB=ED

AC=FD(side opposite to the right angle)

FD=AC

•°•FD=13m

Just answer the questions please

Answers

Answer:

1)( y= 0.12 * x )             y(dependent) , x(independent)                                                                     2)  x=150 : y=18  /  x=300 : y=36  / x=450 : y=54  /  x=600 :   y=72  /  x=750 : y=90 / x=900 : y=108                                                                                                  3) 300+750+1050=2100 pound

 2100*0.12=252 pound food they need to eat in each day

252*7=1764 pound in each month

For an ordered pair left parenthesis x comma y right parenthesis in a relation, the x element represents the

Answers

Answer:

the x éléments représente the domain

x represents the value on the x-axis and the coordinate is also known as abscissa.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

For an ordered pair left parenthesis x comma y right parenthesis in a relation that is (x, y).

Here x represents the value on the x-axis and the coordinate is also known as abscissa.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

(y - .18) x .08 = needing help

Answers

Answer:

0.08y - 0.0144

Step-by-step explanation:

We need to solve the below expression i.e.

(y - .18) x .08

It can be done as follows :

Using distributive property to solve it.

(y - .18) x .08 = 0.08(y) - 0.18(0.08)

= 0.08y - 0.0144

So, the equivalent expression is 0.08y - 0.0144.


The length of the hypotenuse is??

Answers

Answer:

[tex]x = 14.31[/tex]

Step-by-step explanation:

According to PYTHAGORAS Theorem,

let the Hypotenuse be x

[tex] {6}^{2} + {13}^{2} = {x}^{2} \\ 36 + 169 = {x}^{2} \\ 205 = {x}^{2} \\ \sqrt{205} = x \\ x = 14.31[/tex]

Answer: 14.32

Step-by-step explanation:

To find the length of the hypotenuse, we need to use the Pythagorean Theorem.

Pythagorean Theorem: a²+b²=c²

Since we are given the legs, we can plug them in to find c.

[tex]6^2+13^2=c^2[/tex]           [exponent]

[tex]36+169=c^2[/tex]           [add]

[tex]205=c^2[/tex]                   [square root both sides]

[tex]c=\sqrt{205}[/tex]

[tex]c=14.32[/tex]

The hypotenuse is approximately 14.32.

What is the area of the trapezoid?

Answers

Answer:

A=a+b

2

Step-by-step explanation:

To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.

The figure shows an equilateral triangle with its sides as indicated. find the length of each side of the triangle .

I Will Mark Brainliest​

Answers

Answer:

21

Step-by-step explanation:

All three sides are equal

2x-7 = x+y-9 = y+5

Using the last two

x+y-9 = y+5

Subtract y from each side

x+y-9-y = y+5-y

x-9 = 5

Add 9 to each side

x -9+9 = 5+9

x=14

We know the side length is

2x-7

2(14) -7

28-7

21

The side length is 21

If £15=$20 and $5=390 find the number of pounds that can be exchanged

200​

Answers

Mark as braianlist

15 multiple by 5 equal 75 -390 equal 315 -15equal 200

Which of the following are parallel to the line 2x+ 4y=16

Answers

You did not give a full question! sorry
I would put it in y=mx+b form first
So… y=-1/2x+4
Parallel lines share the same slope so whichever option has a slope of -1/2 is parallel

Solve for x

6x + 11= - (6x + 5)

Answers

Answer:

x = -4/3

Step-by-step explanation:

6x + 11 = -6x - 5

12x = -16

x = -4/3

Answer:

x = -4/3

Step-by-step explanation:

6x + 11= - (6x + 5)

Distribute the minus sign

6x+11 = -6x-5

Add 6x to each side

6x+11 +6x = -6x-5+6x

12x+11 = -5

Subtract 11 from each side

12x+11-11 = -5-11

12x = -16

Divide by 12

12x/12 = -16/12

x = -4/3

What is the distance between the following points?

Will give brainliest

Answers

Answer:

√65

Step-by-step explanation:

(-6,4) (-5,-4)

√(x2 - x1)² + (y2 - y1)²

√[-5 - (-6)]² + (-4 - 4)²

√(1)² + (-8)²

√1 + 64

√65

Point C partitions AB into two parts so that the ratio of the length of AC to the length of CB is 1:5. What are the coordinates of point ?
Select and drag a number to each empty box to correctly complete the coordinates of point
The coordinates of point C are?

Answers

9514 1404 393

Answer:

  C(-1, -4)

Step-by-step explanation:

We want ...

  AC/CB = 1/5

  5(C-A) = B-C . . . . multiply by 5CB

  6C = B +5A . . . . . add 5A-C

  C = (B +5A)/6 . . . divide by 6

  C = ((4, 6) +5(-2,-6))/6 = (4-10,6-30)/6 = (-6, -24)/6

  C = (-1, -4)

(sin 10° + cos 10º)2 - 2 sin 80°cos 80°​

Answers

Answer

the simplied form of the given question is 1

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What is the equation of a line that passes through the point (5,-3) and has a slope of -2 Solve the above quadratic equation Assume that you have $100,000 in savings. Use the table to list the investments you mightmake and what percentage of the $100,000 you would invest in each. In the last column,explain how your choices will achieve investment diversification. Which linear inequality is represented by the graph? Approximately 350 million people speak English as their first ___(1)___ . About the same number use it __(2)___ a second language. It is the language ___(3)___ aviation, international sport and world trade. 75% of the world's mail is in English, 60% of the world's radio stations broadcast in English, and more than half of the world's newspapers are ___(4)___ in English. It is an official language in 44 countries. In ___(5)___ others, it is the language of business, commerce and technology. 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