A window is twice as long as it is wide. The area of the window is 2x where x
is the width of the window. The window is surrounded by a frame that is 2 inches
on all sides. The area of the window and frame is 2x2 + 12x +16.
What is the area of the window frame?

Answers

Answer 1

Answer:

When we have a rectangle of length L and width W, the area is calculated as:

A = W*L

In this case, W = x, and the area is:

A = 2*x

Then we must have  L = 2.

We know that the area of the window and the frame (together) is:

a = 2*x^2 + 12*x + 16

The area of the frame alone, will be equal to the difference between the area of both objects (a) and the area of the window alone (A)

area of the frame = a - A

                             = (2*x^2 + 12*x + 16) - (2*x) = (2*x^2 + 10*x + 16)

This is the area of the frame


Related Questions

Consider that AQRS is similar to ALMN and the measure of ZN is 42°. What is the measure of 2S?

A)
42°
B)
48°
56
D)
589

Answers

Answer:

A

Step-by-step explanation:

Write formula for the following mathematical statement.
The force acting on a body is equal to the product of the mass of the body and the acceleration produced by it

Answers

Answer:

F=ma

Step-by-step explanation:

F is force and its measured in Newtons (N)

m is mass measured in kg

a is acceleration measured in metres per second per second

Help with all 3 ASAP

Answers

For the first one the answer is yes

Answer:

The second one is right

The third one is wrong.

Help please i have no idea how to do this please help

Answers

Answer:

pretty sure its d

Step-by-step explanation:

Jason walked 6 miles in 2 hours. At this same rate, what is the total number of miles Jason could hike in 9 hours?

Answers

Answer:

17 hours is the total of miles he walked

Answer:

Step-by-step explanation:

rn = 6 miles in 2 hrs

we want 9 hours

Per hour it will be 3 miles

3 miles = 1 hr

6 miles = 2 hrs

9 miles = 3 hrs

12 miles = 4 hrs

15 miles = 5 hrs

18 miles = 6 hrs

21 miles = 7 hrs

24 miles = 8 hrs

27 miles = 9 hrs

All you basically had to do is multiply the 9 hours with 3 since that's how much you get per mile, and then you get your total of 27 miles

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Isaiah is starting his own gardening business. Isaiah thinks he can charge $15.50 per hour. If he knows he
will only be able to work 140 hours per month (that's 35 hours per week), how much money will he earn
each month?

Answers

Answer:

About $1627.5

Step-by-step explanation:

15.50 x 35 = 542.5

542.5 x 3 (the amount of weeks in a month) = $1627.5

)) How many solutions does this equation have?
12 + 4t - 14t = -13t - 18

Answers

Answer:

t = -10

Step-by-step explanation:

Ok so,

12 - 10t = -13t -18

12 - 10t + 13t = -13t + 13t - 18

12 + 3t = -18

12 - 12 + 3t = -18 - 12

3t = -30

t = -10

hope this helps! have a good day!

The following data represent the monthly phone use, in minutes, of a customer enrolled in a fraud prevention program for the past 20 months. The phone company decides to use the upper fence as the cutoff point for the number of minutes at which the customer should be contacted. what is the cutoff point?321 474 461 548406 464 517 311534 425 377 505322 435 410 513499 354 307 363The cutoff point is ____minutes( round to the nearest minute)

Answers

Answer:

The answer is "717.25 minutes".

Step-by-step explanation:

In this question first, we arrange the value in ascending order that are:

307,311,321,322,354,363,377,406,425,435,461,464,474,499,505,513,517,534,548

The median is always in an orderly position that is [tex]= \frac{(n+1)}{2}[/tex].

[tex]\to \frac{(n+1)}{2} = \frac{(20+1)}{2} = 10.5[/tex]  position orders

[tex]10^{th} \ and \ 11^{th}[/tex] place an average of observations so, the

[tex]Average = \frac{(425 +435)}{2} = \frac{(860)}{2} =430[/tex]

Because as medium stands at 10.5 that median is as below 10 are greater than the level.

[tex]Q_1[/tex] often falls throughout the ordered BELOW average is [tex]= \frac{(n+1)}{2}[/tex] place.

[tex]\to \frac{(n+1)}{2} = \frac{(10+1)}{2} = 5.5^{th}[/tex]ordered position

Average [tex]5^{th} \ and \ 6^{th}[/tex]  location findings

[tex]Q_1 = \frac{(354+363)}{2} = \frac{(717)}{2}= 358.5[/tex]

In  [tex]= \frac{(n+1)}{2}[/tex] the ordered place, Q3 always falls ABOVE the median.

[tex]\to \frac{(n+1)}{2} = \frac{(10+1)}{2} = 5.5^{th}[/tex] ordered At median ABOVE 

Consequently [tex]Q_3[/tex] falls between [tex]5^{th} \ and \ 6^{th}[/tex] ABOVE the median position

[tex]15^{th}\ and \ 16^{th}[/tex]place average of observations

[tex]\to Q_3 = \frac{(499+505)}{2}=\frac{(1004)}{2} = 502[/tex]

[tex]\to IQR = Q_3 - Q_1= 502-358.5= 143.5[/tex]  

[tex]\to \text{Upper fence} = Q_3 + 1.5 \times IQR= 502 + 1.5 \times 143.5 = 717.25[/tex]

Lily charges $60 for 5 tutoring sessions. What is the cost PER session?

Answers

$60 divided by 5 = $12

$12 per session.

Pls mark me brainliest!

Answer:$12 per session

Step-by-step explanation: divide 60 by 5 you get 12.

Shape p is translated to shape Q using vector (a b).
Write down the values of a and b.
Photo attached.

Answers

Answer:

the answer is:

a=-2

b=-4

Step-by-step explanation:

Shape P is translated to shape Q using vector [tex]\left[\begin{array}{ccc}2\\4\end{array}\right][/tex].

What is translation of a graph?

"A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other."

Given, the shape P is mentioned on the graph.

Now, shape P is translated to shape Q.

Therefore, in order to reach Q from P, the shape needs to shift to the left 2.

After that the shape needs to shift downwards 4 places.

Therefore, the required vector is [tex]\left[\begin{array}{ccc}2\\4\end{array}\right][/tex].

Learn more about translation of a graph here: https://brainly.com/question/14753556

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What is the perimeter of ABCD?

Answers

Answer:

360°

Step-by-step explanation:

Based on what I know that the total of degrees has to be 360°. So, two sides of the rhombus have to have two acute angles and two obtuse angles. So, the  Image shows that the 63° is an acute angle. So, multiply 63 by 2 which is 126. Then subtract 126 from 360 which is 234. Then, divide 234 by 2 which is 117. Lastly, add 63 with 63 and 117 with 117 which is 360.

Hopefully, you understand.

Suppose that c is a number for which the equation c÷c = 1 is false. What is c?

Answers

Zero is the answer as 0/0 is 0, not 1

What is 5 1/2 is its simple form?

Answers

Even numbers can’t be simplified

what is the value of 1/2 the power of 6

Answers

Answer:0.0156250

Step-by-step explanation: (x)n = (1/2) x (1/2) x (1/2) x (1/2) x (1/2) x (1/2) = 1/64

An isosceles triangle has base angles that each measure 69o. Which equation can be used to find x, the measure of the third angle?



a
138 + x = 180
b
69 + x = 180
c
138 + 2x = 180
d
2x + 69 = 180

Answers

Answer:

a. 138 + x = 180

Step-by-step explanation:

Because the angles given are 69+69

which equal 138

and x being the missing angle

finally the total of all angles in a triangle = 180

solve the inequality. Graph the solution on a number line. 7<_2

Answers

i have no idea but i really need help on this too33458584837

6y + 25 = 79
can you please help?

Answers

Answer:

y=9

Step-by-step explanation:

6y=79-25

= 6y= 54

= y=54/6

= y= 9

6y+25=79
Subtract 25 from both sides
6y=54
Divide both sides by 6
Y=9

A dot plot is shown.

Answers

Answer:

C i think but I could be wrong

Step-by-step explanation:

The half life of a radioactive kind of cesium is 30 years. How much will be left after 120 years, if you start with 960 grams of it

Answers

Answer:

60 grams

Step-by-step explanation:

120 years / half-life of 30 years = it will grow half the size 4 times

960 * 1/2 ^ 4 = 960 * 1/2  * 1/2 * 1/2 * 1/2 = 60 grams

50 points if its correct with brainliest!! How many times smaller will a number become if you decrease it by 20%.

Answers

Answer:

1/5 because 20% is equivalent to 20/100

Step-by-step explanation:

or 0.2 Thats what I got- sorry if I am wrong.

Answer: 0.8

Step-by-step explanation:

Decreased by 20percent is multiplying by 80 percent, or 0.8

What is the area of this figure?

Enter your answer in the box.

mm²

Answers

Answer:

[tex]84mm^{2} [/tex]

I think this is true

Answer = 84

BECAUSE

 8x6/2 for triangles (24)

 x2 bc two triangles (48)

6x6 for square (36)

add it all = (84)

Prove: An odd times an odd equals an odd.

Answers

Answer:

4mn+2m+2n+1

Step-by-step explanation:

Hope I helped!

Answer: 4mn+2n+1

2(2mn+m+2)+1

Step-by-step explanation:

5. If the cost of two tires is $130,56, how much will it cost to buy ten tires?
A. $1305.60
Tires
B. $652.80
C. $326.40
Cost

Answers

it would be A

Step-by-step explanation:

I'm good at math

The answer is B
Hope this helps

Please help due tmr. Find c.
Round to the nearest tenth:

Answers

Answer:

c = 14.9 cm

Step-by-step explanation:

Applying the Law of Sines, we would have the following:

c/sin(C) = b/sin(B)

c = ??

C = 180 - (150 + 12) = 18°

b = 10 cm

B = 12°

c/sin(18) = 10/sin(12)

Multiply both sides by sin(18)

c = (10*sin(18))/sin(12)

c = 14.9 cm (nearest tenth)

Solve the equation x² = 5. (must show equality properties in work so I can earn full credit)

A. x = 5

B. x = 25

C. x = √5

D. x = ±√5

Answers

x² = 5
take root to both side to clear the square

√x² = ±√5

X = ±√5
The awnser is c. I really hope this helps

If sin theta = -2/3 which of the following are possible?

Answers

Answer:

a

Step-by-step explanation:

The possible trigonometric function is option (C) [tex]sec \theta = \frac{3}{\sqrt{5} }[/tex] and [tex]tan \theta = \frac{-2}{\sqrt{5} }[/tex] is the correct answer.

What is trigonometry?

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The trigonometric function, sin θ = -2/3

We know that [tex]sin \theta = \frac{opposite}{hypotenuse}[/tex]

So, opposite = -2, hypotenuse = 3

The other side of the right triangle adjacent side can be found by using the Pythagoras theorem,

[tex]adjacent=\sqrt{hypotenuse^{2} -opposite^{2} }[/tex]

⇒ [tex]adjacent=\sqrt{3^{2} -(-2)^{2} }[/tex]

⇒ [tex]adjacent=\sqrt{9-4 }[/tex]

⇒ [tex]adjacent=\sqrt{5}[/tex]

Now, [tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex] and [tex]tan \theta = \frac{opposite}{adjacent}[/tex]

Then, [tex]cos \theta = \frac{\sqrt{5} }{3}[/tex]

[tex]sec \theta = \frac{1}{cos \theta}[/tex]

⇒ [tex]sec \theta = \frac{1}{\frac{\sqrt{5} }{3} }[/tex]

⇒ [tex]sec \theta = \frac{3}{\sqrt{5} }[/tex]

[tex]tan \theta = \frac{-2}{\sqrt{5} }[/tex]

Hence we can conclude that the possible trigonometric function is option (C) [tex]sec \theta = \frac{3}{\sqrt{5} }[/tex] and [tex]tan \theta = \frac{-2}{\sqrt{5} }[/tex] is the correct answer.

Learn more about trigonometry here

https://brainly.com/question/16965914

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what is the equivalent property of 8(4x - 3)

Answers

Answer:

=32x−24

Step-by-step explanation:

Need help with math who is uppppp brainlest and points pls hurry

Answers

Answer:

[tex]The~triangles~AED~and~ABC~are~similar.\\So,\\\frac{AD}{AB} = \frac{DE}{BC} [Corresponding~sides~of~similar~triangles~are~proportional.]\\or, \frac{30}{15} = \frac{34}{x} \\or, x = \frac{15(34)}{30} = 17inches[/tex]

Are these teams?
5x + 8
lik teams?

Answers

no there are not like teams
No they are not a team


Answer with explanation, one doesn’t have a variable

81^3x÷3^4x=729 solve for x

Answers

Answer:

Step-by-step explanation:

x=45816 , 1.89552335

Answer:

Answer:

x=0.333333,−0.333333

Step-by-step explanation:

(813)(x) /3^4

x=729

Simplifies to:

6561x2=729

Let's solve your equation step-by-step.

6561x2=729

Step 1: Divide both sides by 6561.

6561x^2 /6561 =  729 /6561

x2= 1 /9

Step 2: Take square root.

x=±√ 1 /9

x=0.333333,−0.333333

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