a rectangular window dimensions areX by X +2 and window has a 3 inch frame all the way around the total area of the window and frame is 195 in

Answers

Answer 1

Answer:

Length of window = 9 inch

Width of window = 7 inch

Step-by-step explanation:

Given;

Area of window and frame = 195 inch²

Frame width = 3 inch

Length of window = x + 2

Width of window = x

Find:

Value of x

Computation:

Length of window and frame = x + 2 + 3 + 3

Length of window and frame = x + 8

Width of window and frame = x + 3 + 3

Width of window and frame = x + 6

Area of window and frame = (l)(b)

(x + 8)(x + 6) = 195

x² + 6x + 8x + (8)(6) = 195

x² + 14x + 48 = 195

x² + 14x - 147 = 0

x² + 21x - 7x - 147 = 0

x(x + 21) - 7(x + 21) = 0

So,

x + 21 = 0 and x - 7 = 0

So,

X = 7

Value of x = 7

Length of window = 9 inch

Width of window = 7 inch


Related Questions

what is 13/50 as a decimal and percent​

Answers

decimal = 0.26

percent = 26%

СК - висота трикутника АВС. Знайдіть градусну міру кута А

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Inglis please. Thank you.

Please say the answer as fast as possible. Your quick response would be highly appreciated. ( also please show the working , you could either type it or send a picture )

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Answer:

Step-by-step explanation:

Can you help me in this please No links or spams or bots or report​

Answers

Answer:

Monday - 7 hr 30 mins

Wednesday - 9 hr 30 mins

Friday - 7 hr

Saturay - 5 hr 30 mins

---------------------------------------------------------------

If you earn $12.40 per hour, first you must find how many hours you worked total - in this case, 29 hr and 30 mins.

So you would be making $359.60 per week.

In ΔEFG, the measure of ∠G=90°, GF = 48, EG = 55, and FE = 73. What ratio represents the cosecant of ∠F?

Answers

Answer:

Cosec <F = 73/55

Step-by-step explanation:

In ΔEFG, the measure of ∠G=90°, GF = 48, EG = 55, and FE = 73. What ratio represents the cosecant of ∠F?

First you must know that;

Cosecant <F = 1/sin<F

Given

∠G=90°, GF = 48, EG = 55, and FE = 73.

ED ,= hyp = 73

EG = opp = 55*side facing <F

Using DOH CAH TOA

Sin theta = opp/hyp

Sin <F= 55/73

Reciprocate both sides

1/sinF = 73/55

Cosec <F = 73/55

BRAINLIEST AND 50 POINTS UP FOR GRABS: PLEASE LEAVE DETAILED ANSWERS
Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0).

Plot triangles PQR and P'Q'R' on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points)

Answers

Answer:

Triangle P' Q' R' is half the size of the original triangle.

-The scale factor is probably 1/3.

Part B: P'(1, −2), Q'(0, 3), and R'(−1, 0).

Part C: No, the triangles are not congruent. If the second triangle didn't have a dilation, and instead have a reflection of the first triangle, then it would be congruent.

Step-by-step explanation:

:)

A triangle has three angles that measure 15 degrees, 85 degrees and (4x - 20). What is the value of x?

Answers

180=15+85+(4x-20)
180-15-85=4x-20
80=4x-20
4x-20=80
4x=80+20
4x=100
x=100/4
x=25

6. Markets with elastic supply and demand curves: a) Have demand and supply curves that never intersect. B) Are very sensitive to a change in price. C) Have greater movements in quantity than prices. D) Are very sensitive to a change in quantity. E) Are only theoretical and do not exist in the real world.

Answers

Answer:

The correct statement is B (are very sensitive to change in price)

Step-by-step explanation:

Option B is correct because of the following reason -:

The degree to which a rise in price affects the quantity demanded or supplied is known as elasticity. In the case of elastic demand and supply, as the price rises, the quantity demanded falls and the quantity supplied rises more than proportionally. Inelastic price elasticity of demand and supply, on the other hand, induces a less than proportional change in quantity as prices change.

Hence , the correct option is B .

A car travels 250 miles to Myrtle Beach; the faster it goes, the less time the trip takes.

Answers

Answer:

Well, ermm duh

Step-by-step explanation:

The faster you go, the less time it will take

PLEASE HELP!!!
I’ll give 40 points!!!

Answers

Answer: c is the correct opcion

Tyler and his friends wanted to watch a movie on opening night. They bought tickets online for $9 each. They paid an additional $5 handling fee for the order. The costs was more than $150. How many tickets could they have purchased?

Answers

Answer:

caca

Step-by-step explanation:

Find the volume of this square pyramid

Answers

Answer:

216

Step-by-step explanation:

Answer:

72yd

Step-by-step explanation:

Hope that helps

hsobsnsjns

a cylinder has a volume of 500cm³ and a diameter of 18cm. which of the following is the closest to the height of the cylinder​

Answers

Step-by-step explanation:

Volume of Cylinder =

[tex]500 {cm}^{3} = \pi {r}^{2} h[/tex]

given d = 18

r = 1/2 x d = 9cm,

[tex]\pi( {9}^{2} )h = 500 \\ 81\pi \: h = 500 \\ h = \frac{500}{81\pi} cm[/tex]

I will leave the answer in terms of Pi as I am not sure how you want to leave your answer as.

A circular opening of an ice cream cone has a diameter of 23 centimeters. The height of the cone is 17 centimeters, what is the

volume of the cone?

round to hundredth decimals if necessary.

Answers

Answer:[tex]2355.31\ cm^3[/tex]

Step-by-step explanation:

Given

diameter of the cone is  [tex]d=23\ cm\quad [r=\frac{d}{2}=11.5\ cm][/tex]

The height of the cone is  [tex]h=17\ cm[/tex]

The volume of a cone is  [tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 11.5^2\times 17=2355.309\\\\\Rightarrow V\approx 2355.31\ cm^3[/tex]

Thus, the volume of the cone is [tex]2355.31\ cm^3[/tex]

Find the missing side lengths. Leave your answers as radicals in simplest form

Answers

Answer:

i think the answer is c but im not sure sorry if im wrong

Step-by-step explanation:

please help i’ll give brainliest

Answers

Bacteria and fungi

Decomposition and soil organic matter
Earthworms play an important role in breaking down dead organic matter in a process known as decomposition. ... Earthworms do this by eating organic matter and breaking it down into smaller pieces allowing bacteria and fungi to feed on it and release the nutrients.

47. Brainliest will be given, need answer asap

Answers

Answer:

Look below.

Step-by-step explanation:

45. B

46. D

47. B

Answer:

45.A   46. Bike A    47.C

Step-by-step explanation:

why did the german soilders let the prisoners sing while they were marching? PLSSS HELP ILL MARK BRAILIEST. if u give a link i will not so don’t even try :). pls help!!!!

Answers

They had to sing songs of symbolic value.

Please help me someone.!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]y=-|x|+2[/tex]

Step-by-step explanation:

The y-intercept is 2 and the line of symmetry is the y-axis.

What kind of equation is shown below?
x2 + 6x - 13 = 0

Answers

Answer:

quadratic equation

Step-by-step explanation:

Answer:

the equation shown here is a quadratic equation

Given m
n, find the value of x and y.
(37-18)
(8x+12)
m
(2X+18)
n

Answers

Answer:

Step-by-step explanation:

The two inside angles will sum to 180°.

The top to angles are equal.  

Think about this as what if both of the parallel lines were intersected by a perpendicuar line.  Every angle would be a right triangle 90°.  The inside angles will sum to 180° and the opposite angles are again equal.

 (2x + 18) + (8x + 12) = 180

          10x +   30   =   180

                   10x    =   150

                      x  =  15

-------------------------

             (3y - 18)  =  (8x + 12)       x = 15

            (3y - 18)  =  (8(15) + 12)

            (3y - 18)  =  (120 + 12)

            (3y - 18)  =  132

                   3y   =   132 + 18

                   3y   =  150

                     y   =  50

300 mm
40 cm
50 cm
2 dm
Slice of a cake

Answers

Answer:

The correct answer in each case is:

Surface area = 60 [tex]cm^{2}[/tex]Surface area = 6000 [tex]mm^{2}[/tex]Surface area = 0.006 [tex]m^{2}[/tex] Volume = 1200 [tex]cm^{3}[/tex]

Step-by-step explanation:

First, to calculate the surface area or the volume you must have all the measures in the same units, for the exercise we're gonna use centimeters and after we can replace the units in the answer if we need, then:

300 mm = 30 cm 40 cm 50 cm 2 dm = 20 cm

Now, to obtain the surface area of the triangle we're gonna use the next formula:

Surface area = (base * height) / 2

And we replace the values in centimeters:

Surface area = (30 cm * 40 cm) / 2Surface area = (120 [tex]cm^{2}[/tex]) / 2Surface area = 60 [tex]cm^{2}[/tex]

To obtain this same value now in square milimeters, you must know:

1 [tex]cm^{2}[/tex] = 100 [tex]mm^{2}[/tex]

Now, you must multiply:

60 [tex]cm^{2}[/tex] * 100 = 6000 [tex]mm^{2}[/tex]60 [tex]cm^{2}[/tex] = 6000 [tex]mm^{2}[/tex]

To obtain this value now in [tex]m^{2}[/tex], you must know:

1 [tex]m^{2}[/tex] = 10000 [tex]cm^{2}[/tex]

You must divide:

60 [tex]cm^{2}[/tex] / 10000 = 0.006 60 [tex]cm^{2}[/tex] = 0.006 [tex]m^{2}[/tex]

By last, to obtain the volume of the piece of cake, you can use the next formula:

Volume of the piece of cake: surface area * depth

And we replace the surface area in [tex]cm^{2}[/tex] because the answer must be in [tex]cm^{3}[/tex]:

Volume of the piece of cake: 60 [tex]cm^{2}[/tex] * 20 cmVolume of the piece of cake: 1200 [tex]cm^{3}[/tex]

I need this done, please I need to pass these six weeks! Thanks

Answers

For page 1:
4. H
5. B
6. F, G and H

Help ASAP ASAP please please help ASAP ASAP please please help please

Answers

Answer:

XY = 9

Step-by-step explanation:

Similar polygons have corresponding sides with proportional lengths.

WX/AB = XY/BC

12/8 = XY/6

8XY = 12 * 6

8XY = 72

XY = 9

The height of a cone is twice the radius of its base.

What expression represents the volume of the cone, in

cubic units?

23x3

49X3

Answers

Answer:

2/3πx³

Step-by-step explanation:

Volume of a cone is expressed as;

V = 1/3πx²h ... 1

x is the radius

h is the height of the cone

If the height of a cone is twice the radius of its base, then;

h = 2x ... 2

Substitute equation 2 into 1

Recall that V =  1/3πx²h

V = 1/3πx²(2x)

V = 2/3πx³

Hence the expression that represents the volume of the cone is 2/3πx³ cubic units

encontre as raízes quadradas dos números:
a)²√625​

Answers

25

porque al multiplicar 25×25 nos da 625

Answer:

25

Step-by-step explanation:

25x25=625

The illustration below shows the graph of yyy as a function of xxx.
Complete the following sentences based on the graph.
Initially, as xxx increases, yyy

.
Afterward, the slope of the graph of the function is equal to
for all xxx between x=3x=3x, equals, 3 and x=5x=5x, equals, 5.
The slope of the graph is equal to
for xxx between x=5x=5x, equals, 5 and x=9x=9x, equals, 9.
The greatest value of yyy is y=\:y=y, equals
, and it occurs when x=\:x=x, equals
.

Answers

answer in the picture

Answer:

The illustration below shows the graph of yyy as a function of xxx.

Complete the following sentences based on the graph.

Initially, as xxx increases, yyy

Step-by-step explanation:

An equation for a quartic function with zeros 4, 5, and 6 that passes through
the point (7, 18) is

Answers

Answer:

One example of this can be:

P(x) = (3/2)*(x - 4)*(x - 5)*(x - 5)*(x - 6)

Step-by-step explanation:

A quartic equation is a polynomial of degree 4.

Now, remember that for a polynomial of degree n, with leading coefficient A and zeros {x₁, x₂, ..., xₙ}

The polinomial can be written as:

p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case we know that we have the zeros 4, 5 and 6.

Notice that this is a polynomial of degree 4 but we have 3 zeros, so one of them may be a double one, i will assume that is the 5.

And we have a leading coefficient that we do not know, let's call it A

Then we can write our polynomial as:

P(x) = A*(x - 4)*(x - 5)*(x - 5)*(x - 6)

Now we know that the polynomial passes through the point (7, 18), then:

P(7) = 18 = A*(7 - 4)*(7 - 5)*(7 - 5)*(7 - 6)

With this equation, we can find the value of A.

18 = A*(7 - 4)*(7 - 5)*(7 - 5)*(7 - 6)

18 = A*12

18/12 = A

(3/2) = A

Then our equation can be:

P(x) = (3/2)*(x - 4)*(x - 5)*(x - 5)*(x - 6)

PLSSSSSS HELPPPPP PLS I NEED HELPPP PLSS


Let equal the price of one smoothie. Complete the equation.
(5 smoothies) (price of 1 1 Smoothie)+tip= $23

Answers

Answer:

5x+3=23

Step-by-step explanation:

Answer:

$4 per smoothie

Step-by-step explanation:

5x+4=23

Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator rationalized

Answers

Answer:

I would need to see the variables to answer this questions.

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