the area of a window is 192 in squared. The width if the window is four inches more than half the length of the window. What are the dimensions of the window?

Answers

Answer 1

Answer:

Length = 16 inches and width = 12inches

Step-by-step explanation:

A = 192 in² . The width is 4 + 1/2x.  therefore let x = length

Area = LW

192 =  x(4 + 1/2 x)

192 = 4x + 1/2x²      

384 = 8x  + x²                            Multiply each term by 2 to make a  

384 + 16 =  x² + 8x + 16              Complete the square

400 = (x  + 4)²        

[tex]\sqrt{400} = \sqrt{(x + 4)^2}[/tex]

± 20 = x + 4

20 = x + 4  or  -20 = x + 4

20 - 4 = x     or  -20 - 4 = x

    16 = x   or   -24 = x   reject the negative amount

   Length = 16

   width = 4 + 1/2(16);   4 + 8 = 12


Related Questions

There. Someone help pls.

Answers

Answer:

85 because if you do the math

someone help!
what is y?

Answers

60

random stuff because the answer has to be 20 characters long

Answer:

y= 160°

Step-by-step explanation:

as we can see, the corresponding angles are both 20°

a straight line is 180°

180-20= 160

that's you're answer

Guys, I really need these answers ASAP, Please help, I will give 10 points. Look at the 3 screenshots posted below

Answers

Answer:

w = 38%  or 37%

w = 37.7162629758% exact

Step-by-step explanation:

Lets say c = 100

If k = 15, 100 is decreases by 15% 2 times.

15% of 100 = 15

100 - 15 = 85

d = 85

Now lets find a

85 times .85 = 72.25

Now find what percent of 72.25 you have to add to itself to get 100

100 - 72.25 = 27.75

27.75 divided by 72.25

37% rounded

37.7162629758% exact

write an algebraic expression for the word expression.
the sum of 9 and a number x​

Answers

Answer:

9 + x

Step-by-step explanation:

i think this is what you meant

Answer:

Write each phrase as an algebraic expression. In Example 2, each algebraic expression consisted of one number, one operation and one variable.

...

Algebraic Expressions With Example Problems and Interactive Exercises.

Phrase Expression

the sum of nine and a number x 9 + x

Step-by-step explanation:

Hopes this helps\

Mark as brainliest

please help and show work


x= ​

Answers

Answer:

x = 7

Step-by-step explanation:

from the properties of an isosceles triangle, 5x+6 = y-9

so

98+2(5x+6) = 180

98+10x+12 = 180

110+10x = 180

10x = 70

x = 7

Evaluate the expression for x = 5 and y = -1
xy - y =

Answers

Answer:

-4

Step-by-step explanation:

xy-y = ?

(5)(-1)-(-1) = ?

-5 + 1 = -4

Hope that helps

23.
Find the next three terms of the arithmetic sequence. 19, 24, 29, 34, ...

Answers

Answer:

39, 44, 48

Step-by-step explanation:

Add 5 to the following terms.

Please mark me as the Brainliest, Thank you!

find possible lenth and breadth of the rectangle whose area is given by the expression x power 2 +6x +8

Answers

[tex]x^2 +6x +8\\\\=x^2 + 4x +2x +8\\\\=x(x+4) +2(x+4)\\\\=(x+2)(x+4)\\\\\text{Possible length and breadth of the rectangle are (x+4) and (x+2) respectively.}[/tex]

triangle: 3x-1,4x+1,3x
perimeter:70cm
area:A2
find A

Answers

Answer:

A = 210 cm²

Step-by-step explanation:

Perimeter of the triangle = the sum of the sides of the triangle.

70 = (3x - 1) + (4x + 1) + (3x)

70 = 10x  

7 = x     The length of the sides of the triangle are 3x - 1 = 20;  4x + 1 = 29 and                

             3x = 21.

 Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.

Trying a² + b² = c² to see if it is a right triangle.   20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21.   The longest side is the hypotenuse in a right triangle

A = 1/2bh

A = 1/2 (20)(21)

A = 10 · 21

A = 210 cm²

Why 10 is down how we get it?

Answers

i think you’re asking why 10 is there when you when from _/100? if so it’s because 10 is the square root of 100. 10 x 10 = 100. similar to how the square root of 4 is 2 and 25 would be 5. or 16 is 4.

What is the y-intercept of y = 4x? Choose 1 answer:​

Answers

Answer:

B (0,0)

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept y=mx+b. Using the slope-intercept form, the y-intercept is 0. b=0

The y-intercept of y=4x is (0, 0)

Option B is correct

Y-intercept of a linear equation

The slope-intercept of a line is given as:

y = mx + c

where m represents the slope

c represents the y-intercept

The given equation is y = 4x

To find the y-intercept, substitute x = 0 into the equation and solve for y

y = 4(0)

y = 0

Therefore the y-intercept of y=4x is (0, 0)

Learn more on y-intercept of a line here: https://brainly.com/question/10700419

what 0x0+1-0 explain it has to be mathematical geniuses

Answers

Answer:

1

Step-by-step explanation:

you cant multiply 0 and 0 and then plus one minus 0 you can't minus anything cuz it's well zero and it would be one

Answer:

1

Step-by-step explanation:

zero times zero is equal to zero, so if you add one to that, it then becomes one. After that, if you subtract zero from that you are basically not changing the one.

so yeah

Mr. Jackson likes to play a game in which rolling a 4 on a number cube doubles your score. He wants to know the probability that he will roll a 4 exactly 3 times out of 10 rolls. Define the variables for describing a binomial probability, and identify their values in this experiment.

Answers

Answer:

Step-by-step explanation:

Binomial Probability

P(x) =  n!/(n-x)!x! * p^x q^(n-x)

P(x) = probability there will be x required outcomes (here x is 3)

n = number of trials (here it is 10)

p = probability of 1 required outcome (getting a 4) on a single roll ( = 1/6).

q = probability of required outcome not occurring on a single roll.

p = 1/6

q = 1 -1/6 = 5/6

n = 10

x = 3

So the required probability

= 10!/ 7!3! (1/6)^3 (5/6)^7

= 0.155.

3x+4=7-2x
Solve this equation for x with steps

Answers

Simplifying
3x + 4 = 7 + -2x

Reorder the terms:
4 + 3x = 7 + -2x

Solving
4 + 3x = 7 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
4 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = 7 + 0
4 + 5x = 7

Add '-4' to each side of the equation.
4 + -4 + 5x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 7 + -4
5x = 7 + -4

Combine like terms: 7 + -4 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Answer: x = 0.6

write an equation
(X-P) (x-q)=0

Answers

Answer:

[tex]x^{2} -pqx+pq[/tex]

Step-by-step explanation:

F. A marketing company offers to pay $25 to the first 100 people who respond to its advertisement
and complete a questionnaire regarding its client's product. This will produce which type of
sample?
A. simple random sample
C. voluntary response sample
B. convenience sample
D. multistage cluster sample


HELPP ASAP PLZZZZZZZ LIKE RNN plzzzzzzz

Answers

Answer:

Convenience sample

Step-by-step explanation:

Getting paid to respond

B would be correct I think

Can someone pls help me

Answers

Answer:

A = Π R^2 = 3.14 * 6^2 m = 113 m^2   area of entire circle

102/360 = a = area of sector

a = 102/360 * 113 m^2 = 32 .0 m^2

what are the correct answers?

Answers

cos (75)=cos (15) nothing square and check

Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?




Answers

The average speed Mr and Mrs Ozawa should drive is 62 miles per hour.

What is the difference between average and instantaneous speed?

The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.

For instantaneous speed and average speed are equal for an object moving with constant speed.

The total distance travelled is given as 496 miles.

And, the total time taken is 8 hours.

Average speed can be calculated by taking the ratio of total distance and time as follows,

Total distance ÷ Total time

⇒ 496 ÷ 8

⇒ 62

Hence, the average speed is given as 496 miles per hour.

To know more about speed click on,

https://brainly.com/question/28224010

#SPJ5

can anyone help me pls

Answers

Answer:

88 degrees, 44 degrees

Step-by-step explanation:

The total of angles in a triangle is 180 degrees

so, 48+x+x-44=180

48-44+x+x=180

4+2x=180

-4 on both sides

2x=176

x=88

In the circle represented by the equation (x-4)2+(y-3)2=25, the diameter is

Answers

i’m pretty positive the answer is (-3,4)

Tyler has 485 pieces of candy. He has 5 bags that he wants to fill the candy in. How many
pieces of candy, will be in each bag? (Solve using the standard algorithm).

Answers

Answer:

97 in each bag

Step-by-step explanation:

485÷5=97

97*5=485

Answer:

There would be 97 pieces of candy in each bag.

(used standard algorithm, not sure how to put that in here.) Tip: use 485 divided by 5 in long division. If you do not know how, look up the steps and write it down.

Can you please help me

Answers

Answer:

V = 113.1

Step-by-step explanation:

V= 4/3 π r^3

V= 4/3 x 3.14 x 3^3

V= 4.19 x 27

V= 113.13

rounded to 113.1

Given that:Radius= 3 mTo find:The volume of the given sphere rounding to the nearest tenth.Solution:A sphere is a three dimensional solid with a curved surface area.SI unit of volume is cubic meter.

In this question all the required information is given so we'll simply have to solve.

[tex]\large\boxed{\bold{V= \ \frac{4}{3}\pi{r}^{3}}}[/tex]

Let's substitute the values according to the formula.

[tex]\bold{ V= \frac{4}{3}×\pi×{3}^{3}}[/tex]

[tex]\bold{=113.0973355 \ {m}^{3}}[/tex]

Now, we can round off to the nearest tenth.

If the value in hundredths place is greater than 5 you'll have to round up. If not you'll have to keep it as it is.

In this, the value in hundredths place is greater than 5 so we'll have to round up by adding 1 to the tenths place.

[tex]\large\boxed{\bold{V= 113.1 \ {m}^{3}}}[/tex]

Therefore, the volume of the given sphere is 113.1 cubic meters.

Challenge elementary school has 800 students. Every Wednesday, 12% of the students stay after school for chess. How many students attend chess club on Wednesday?

Answers

Answer:

Its 96 bro :) 96 students

Step-by-step explanation:

Basically yeah, 800 is 100% of the population yeah. So just multiply 800 times 12%. 800 x 12% is 96.

96 = 12% of 800, I hope this helps!

Find the y-intercept of the line: x + 4y + 8 = 0

Answers

Answer:

(0,-2)

Step-by-step explanation:

Find the missing parts of the triangle. Round to the
nearest tenth when necessary or to the nearest minute
as appropriate.
1) C = 105.8°
a = 4.7 km
b = 8.3 km



A) No triangle satisfies the given
conditions.
B) c = 16.4 km, A = 23.2°, B = 51°
C) c = 13.5 km, A = 27.2°, B = 47°
D) c = 10.6 km, A = 25.2°, B = 49°

Answers

Answer:

1) C = 105.8°

Step-by-step explanation:

Kim needs 10 cups of apple juice for a recipe. How many quarts does she need?

Answers

She will need 2.5 quarts.

Kim will need 2.5 quarts.

How to find the quarts she needs?

Given = 10 cups quarter

From the given data = 10/4

⇒ 2.5

The answer is 2.5 quarts.

What does 1 quart equal to in cups?

There are 4 cups in 1 quart. There are 8 cups in 2 quarts. There are 16 cups in 4 quarts.

Learn more about problem solving here: brainly.com/question/23945932

#SPJ2

What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis?

(–8, –6)
(–6, 8)
(8, 6)
(6, –8)

Answers

Answer:

The answer is B. (-6,8) !

Step-by-step explanation:

I don’t pay attention in classs Why are the plants in the picture classified as vascular?
A. They reproduce by seeds.
B. They grow in damp forests and along river banks.
C. They reproduce by spores.
D. They have tubes for carrying water and food.

Answers

Answer:

A

Step-by-step explanation:

Specifically, the various types of vascular plants are classified by whether they produce spores or seeds to make new plants. Vascular plants that reproduce by seed evolved highly specialized tissue that helped them spread across the land

A linear equation in one variable (the variable x) that can be transformed into an equivalent equation in which of these forms has one solution?

A.
x = x
B. x= 3
C. 1=1
D. 1 = 3

Answers

Answer:

b maybe....

Step-by-step explanation:

Other Questions
WILL GIVE BRAINLIEST The following table was made to compare the different seismic waves. What correction needs to be made?A. Rayleigh waves have a rolling movement and Love waves have a horizontal movement that is perpendicular to the wave.B. Rayleigh and Love waves travel through solid and liquid.C. Rayleigh and Love waves are body waves, P-waves and S-waves are surface waves.D. P-waves have a vertical movement that is perpendicular to the wave and D-waves has a compression movement. is 4.57691 rational? what president made armistice day veterans day HURRY!!! Please?? 12 POINTS What is the average rate of change for this quadratic function for the intervalfrom x= -5 to x= -3?A. 16B. -8C. 8D. -16 Mexico's greatest hope for the future lies in A map titled Physical Features of East Asia. A key shows Lowlands in green, Highlands in yellow, and mountains with brown triangles. China is surrounded by the following countries: India, Pakistan, Afghanistan, Kazakhstan, Mongolia, North Korea, South Korea, Laos, Thailand, and Bangladesh. The map has labels 1 through 4. 1 is a river in Mongolia. 2 is a river in southern China. 3 is a river south of the Qin Mountains. 4 is a river north of the Qin Mountains.Which number on the map shows the Yellow River?1234 Please help on both. Im not sure of my answrs before I submit. Thank u :) fb ... found in 2004 by mark zuckerberg Which statement accurately compares these flashlights?O A. The smaller flashlight has less inertia than the larger flashlight, soit takes less force to change the motion of the smaller flashlight.O B. The smaller flashlight has more inertia than the larger flashlight,so it takes more force to change the motion of the smallerflashlight.C. The smaller flashlight has less inertia than the larger flashlight, soit takes more force to change the motion of the smaller flashlight.O D. The smaller flashlight has more inertia than the larger flashlight,so it takes less force to change the motion of the smallerflashlight A choir teacher is dividing 48 sopranos and 32 altos into singing groups. He wants eachgroup to have the same combination of sopranos and altos, with no singers left over. What isthe area recently, state forests and parks like yellowstone national park which contain varieties of flowering trees and shrubs, have started to erect signs that state, take nothing but pictures, leave nothing but footprints. which argument best supports why these signs are being placed in state forests and parks? I REALLY NEED HELP WITH QUESTION!! URGENTLY!! ANYONE WHO'S GOOD AT MATHS Can someone plz help :(((((What is the area, in square inches, of the rectangle? Who should have a financial emergency plan in place?Those with high riskEveryone, regardless of financial healthThose with bad credi.Those in a state of bankruptcy Sentado a la sombra en la orilla del ro, cubierta la cabeza con un sombrero de paja de anchas alas ya bastante moreno por el uso, las piernas colgando, la caa de pescar tendida casi horizontalmente a poca altura del agua, el bueno de Chaviri se pasaba las horas muertas, esperando que algn pez picara en su anzuelo.Los chicos del pueblo, al pasar por all, solan gritarle:Pescador de caa, ms pierde que gana!Y no siempre eran los chicos los que se burlaban de l, sino a veces los grandes, preguntndole en tono de zumba:Pican? Pican?Chaviri miraba a unos y a otros con sonrisa desdeosa, o se encoga de hombros sin mirar siquiera, y, atento a su caa, segua esperando la pesca con paciencia ejemplar.Antes de hacerse Chaviri pescador de caa, haba intentado hallar la fortuna por diversos caminos. Hombre de imaginacin viva y productiva, tuvo en varias ocasiones muy luminosas ideas; pero, al ir a realizarlas, fue tan desgraciado que siempre se le adelant alguno en las empresas por l concebidas....Lo que no acababa de comprender nunca, en medio del desaliento que en l producan sus continuos chascos, era cmo a Prez, y a Martnez, y a Gonzlez, no les haba pasado lo mismo al establecerse, habiendo podido llegar los tres a reunir millones....A todos observaron un gran cambio en el carcter de Chaviri. Lo vieron dar paseos solitarios y ausentarse del pueblo largas horas.Ya no era, como antes, franco y expansivo, sino silencioso y reservado.As es que, cuando se supo que despus de tantas preocupaciones se haba hecho pescador de caa, no hubo quien no dijese:Se ha desengaado! Se da por vencido!En los primeros das de aquella nueva ocupacin de Chaviri, acudieron muchos a verle pescar, entre ellos Prez, Martnez y Gonzlez, que con sarcasmo le preguntaban de vez en cuando:Pican? Pican?Y los chicos, menos disimulados que las personas mayores, le gritaban al nuevo pescador:Pescador de caa, ms pierde que gana!Slo de tarde en tarde se le vea sacar del ro algn pececillo, que ni la carnada vala siquiera.Ms es el caso, que cuando Chaviri a la cada del sol volva al pueblo, no llevaba slo aquellos pececillos miserables cuya pesca haban presenciado los curiosos, sino tambin hermosas anguilas y maravillosas truchas, que las vendedoras del mercado le pagaban a subido precio.No haba nadie que al pueblo llevara pesca tan rica y abundante como la de Chaviri.Los primeros das se atribuy aquello a simple casualidad. Pero la cosa iba durando una y otra semana. A los dos meses el nuevo pescador haba ganado ya mucho dinero.Fue la noticia extendindose, y Chaviri dej de or el irnico: Pican? Pican? Los chicos ya no volvieron a gritarle: Pescador de caa, ms pierde que gana!Ah! Qu bien hicese dijoen evitar que nadie me viese ir al ro arriba, donde est el escondido refugio de las anguilas y de las truchas que he descubierto yo solo!Una tarde en que Chaviri estaba seguro de ser espiado, despus de pasar pacientemente una hora echando su caa en el sitio donde sola ponerse para que las gentes le vieran, mir a su alrededor con movimiento sospechoso, se levant, recogi sus cosas, y se fue al ro abajo.Se sent y ech su anzuelo a la corriente.Al poco rato exclam:Gracias a Dios que estoy solo! No es floja la pesca que hoy voy a llevar!Entonces, inmediato sali una cabeza, y luego otra de ms all y otra tercera ms lejos. Chaviri reconoci al punto a Gonzlez, a Martnez y a Prez, que le gritaron:T nos engaas!No pones nada en tu anzuelo!Quieres hacernos creer que se puede pescar sin carnada!Cmo que no? Ya lo ven! contest Chaviri rindose. Nada he puesto en mi anzuelo... y los tres han picado!Excerpt From: Spanish Tales for Beginners. iBooks. (Gutenberg Project)Tarea: Qu piensas que es el significado de este cuento? Qu mensaje est tratando de expresar el autor?Your response must contain at least 5 detailed and complete sentences in Spanish. does 12 11 and 7 make a right triangle nicole is making carrot bread. she needs 5 cups of carrots for every 2 cups of sugar. what is the ratio of cups of sugar to cups of carrots that nicole will need? Directions: Compare the sides and angles by filling in the blank with a < or > symbol.