Javier is constructing a door for his son's tree house. The dimensions of the rectangular door are 6a^2-a+2 feet and 3a^2+5 feet. He wants to cut out a square from the door to insert a glass panel, as per the diagram below. The glass panel will have a height of a -3 feet.After Javier removes the square for the glass panel, how much of the door will be made from wood?

Answers

Answer 1

The area of a figure is the amount of space the figure can occupy. [tex]18a^4 + 10[/tex] of the door will be made from the wood.

Given

[tex]Length = 6a^2 + 2[/tex]

[tex]Width = 3a^2 + 5[/tex]

First, calculate the area of the rectangular door

[tex]Area = Length \times Width[/tex]

[tex]Area =(6a^2 + 2) \times ( 3a^2 + 5)[/tex]

[tex]Area = 18a^4 + 6a^2 + 30a^2 + 10[/tex]

[tex]Area = 18a^4 + 36a^2 + 10[/tex]

Next, calculate the area of the glass panel

The dimension of the glass panel is not given, and the diagram is not attached. So, I will assume the dimension of the square glass panel is [tex]6a[/tex].

So, the area of the glass panel is:

[tex]Area = 6a \times 6a[/tex]

[tex]Area = 36a^2[/tex]

To calculate how much wood that will be needed for the rectangular door, we simply subtract the area of the glass panel from the area of the door

[tex]Wood = 18a^4 + 36a^2 + 10 - 36a^2[/tex]

Collect like terms

[tex]Wood = 18a^4 + 10 + 36a^2 - 36a^2[/tex]

[tex]Wood = 18a^4 + 10[/tex]

Considering the assumed value, [tex]18a^4 + 10[/tex] of the door will be made from the wood.

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Step-by-step explanation:

see it in the picture. i can't make it display in text form.

Is (2,3),(4,7),(1,-3),(5,7),(-2,8) a function? Please help

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Answer:

Yes, this is a function.

Step-by-step explanation:

Every input has its own unique output (no x number goes to more than one y number).

1.
11. Kimberly received -22 points on her exam.
She got 11 questions wrong out of 50 questions.
How much was Kimberly penalized for each wrong
answer?

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Answer:

Step-by-step explanation:

50 por que si no lO seeee agradezcan que respondo


When multiplying two negative numbers, what kind of number does one always get for an answer?

Answers

Answer:

a positive number

Step-by-step explanation:

-(-) = +

for example, -1 * -1 = 1

When multiplying negative numbers u get a positive number

B is between A and C, BC=38, and AC=42. Find AB
help please!

Answers

Answer:

AB = 4

Step-by-step explanation:

AB + BC = AC

Substitute the line segments for their given values:

AB + 38 = 42

Subtract both sides by 38:

AB = 42 - 38

AB = 4

Check your work:

4 + 38 = 42

42 = 42

Correct!

how to solve this things

Answers

Answer:

8/5

Step-by-step explanation:

...................

smg membantu, mff kl slh

Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 and
a 12-pack of juice bottles. The total cost before tax was $27.57. Write and solve an
equation which can be used to determine x, how much each bottle of juice costs?

Answers

Call a bottle of juice costs is x

$2.49 + 12x = $27.57

             12x = $27.57 - $2.49

             12x = $25.08

                 x = $25.08 / 12

                 x = $2.09

SO each bottle of juice costs $2.09.

Mark as Brainliest If the answer is helpful!

plz help me find the slope​

Answers

Answer:

4/5

Step-by-step explanation:

Find 2 defined points like (-2,0)(3,4) in other to reach the point (3,4) from (-2,0) it moves 5 times front and 4 times up  

Up is Y value

Front is X value

To solve it is adding the value that you get from moving it in this case

5 front X equals to 5

4 up Y equals to 4

Then is 4/5

because the formula is Y/X

Brianna has saved $600 to buy a new tv If the tv cos $1800 and she saves $20 a week

Answers

60 days or 8.5 weeks

Step-by-step explanation:

1800-600=1200

1200/20=60

60/7=8.5

please help me is for my homework​

Answers

Step-by-step explanation:

12/100 I think from a while ago.

Answer:

your answer is 12/100

but as a percent, it is 1200%

Step-by-step explanation:

help!!!!!!!!!!!!!!!!!!

Answers

Answer:

a = 8, B = - 2, c= - 21

Step-by-step explanation:

Just expand the brackets carefully

ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!!

Answers

Answer:

Company D is the correct choice. With a flat rate of $150 plus the hourly fee of $5, you add the hourly to the flat fee. So in this case, $150 + 7($5) = $185. This comes out to be the lowest price out of the 4 options provided.

Step-by-step explanation:

I derped. I'm sorry. Here is the answer as an actual answer :)

Answer:

Company C

Step-by-step explanation:

30 Oreo cookies for $2.99
Unit rate

Answers

Answer:

$0.10 per oreo

Step-by-step explanation:

To find the unti rate, all we need to do is divide.

2.99 / 30 ≈ 0.10

Best of Luck!

What is the scale factor from L to S

Answers

Answer:

-2

Step-by-step explanation:

Triangle S

Base = 2Height = 4

Triangle L

Base = 4Height = 8

For the base you must multiply 4 by -2 to get 2. Likewise for the height you must multiply 8 by -2 to get 4. Thus the scale factor from L to S is -2

Hope it helps,... Chow,...!

One number is 8 more than the other number. Twice the smaller number is 7 more than the larger number. Write the equation to represent this scenario.

Answers

a=15

b=23

Step-by-step explanation:

a+8=b

2a=b+7

2a=(a+8)+7

2a=a+15

a=15

What is the product of ¼, -½ and -¾?

a
0.0934
b
-0.6543
c
-0.09357
d
0.09375

Answers

This is nonfiction and that would c I.09357 0.6543
D most definitely d

find the slope of the line that is perpendicular to the line graphed in the figure​

Answers

Answer:

- [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = [tex]\frac{1-(-4)}{1-0}[/tex] = [tex]\frac{1+4}{1}[/tex] = 5

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]

There are 37 carpenters in a crew. On a certain day, 27 were present. What percent showed up for work?

Answers

Answer:

73%

Step-by-step explanation:

/ means divide

you divide the total by those who showed up

27/37 = .7297 = around .73 = 73%

No. of acute angles in the given figure:_____

Answers

Answer:

looks like there's 5

Step-by-step explanation:

acute angles are under 90°

obtuse are over 90°

right angles are 90°

find the last two digits of 2^2016​

Answers

Whooooooooooooooooooooooooops , Result for 2^2016

Can anyone please help me to find the area of this please

Answers

9514 1404 393

Answer:

  √35 +3√7 -6 . . . square units

Step-by-step explanation:

The area can be figured a number of ways. The figure can be divided into parts, and the areas of those parts added.

Or, the area of the enclosing rectangle can be found, and the rectangle at upper right that is not shaded can be subtracted from that. We choose the latter.

The overall width is the sum of the given partial widths:

  width = (√7 -2) + (2) = √7

Then the area of the bounding rectangle is ...

  A = LW = (√5 +3)(√7) = √35 +3√7

The area of the upper right empty-space is ...

  A = LW = (3)(2) = 6

Then The area of the shaded figure is ...

  √35 +3√7 -6

Solve. Give exact answers if possible, otherwise round to two decimal places. [6 marks]
A) 64^ x+4= (1/6)^x B) 5^x+1 - 5^x+2= -2500 C) 5^ x-1 + 10= 53

Answers

Step-by-step explanation:

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Isa finished 30% of his homework in 27 minutes. How many more minutes will it take lsa to complete his homework, assuming that he works at the
same pace?
A А.
63 minutes
B
67 minutes
C
70 minutes
O
D
90 minutes

Answers

30 * ? = 100 * 27

? = 100 * 27 / 30 = 2700/30 = 270/3 = 90

90 minutes is 1 hour and 30 minutes or an hour and a half

The answer is option D\ 90

Don't forget put heart ♥️

Answer:

The answer is A. 63 minutes.

Step-by-step explanation:

I added 27 minutes with each of the answer then multiplied the two added numbers by 30%

27 + 63 = 90 x 30% = 27 minutes (correct answer)

27 + 67 = 94 x 30% = 28.2 minutes (wrong answer)

27 + 70 = 97 x 30% = 29.1 minutes (wrong answer)

27 + 90 = 117 x 30% = 35.1 minutes (wrong answer)

Mr Guru bought a second hand bike for rupees 125200 he Spent rupees 5302 repair it at what price should he sell it to gain 5% on his total investment​

Answers

Answer:

137027.1 Rupees

Step-by-step explanation:

(125200+5302) * 0.05 = 6525.1

130502+6525.1 =  137027.1

( x+y+z )² + 2( x+y+z ) +1

Answers

Answer:

[tex](x+y+z+1 {)}^{2} [/tex]

Step-by-step explanation:

[tex](x+y+z {)}^{2} +2(x+y+z)+1[/tex]

[tex](x+y+z+1 {)}^{2} [/tex]

Hope it is helpful....

Here is your answer hope this helps you.

Please help basic Geomerty question!

Answers

Answer:

Point B :(6, 7)

Step-by-step explanation:

Point B:(x, y)

1= - 4+x/2

2= - 4+x

x=6

7.5= 8+y/2

15= 8+y

y=7

A wedding planner uses 72 ivy stems for 18 centerpieces. When sh arrives at the venue , she realizes she will only need 16 centerpieces. How many ivy stems should she use so that the ratio of ivy stems to centerpieces stays the same ?

Answers

Answer:

64 ivy stems

Step-by-step explanation:

72 ivy stems / 18 centerpieces = 4 ivy stems / 1 centerpiece

Create an equation with x being the amount of ivy stems needed.

x / 16 = 4

x = 64

24 - 8X = -16
Help pls

Answers

Answer:

5

Step-by-step explanation:

24-8X=-16

24+16=8X

40=8X

X=5

Answer:

x=5

Step-by-step explanation:

24 - 8x = -16

=> 24 + 16 = 8x

=> 8x = 24 + 16

=> 8x = 40

=> x = 40/8

=> x = 5

Which ordered pair is a solution to the equation y = 2x + 1?

A. (8, 17)
B. (9,16)
C. (10, 12)
D. (13, 17)

Answers

it’s choice A :)))))

What is the quotient of 5/6 and 3/8?

Answers

Answer:

2 2/9

Step-by-step explanation:

5/6 ➗3/8

We can use the reciprocal.

So, 5/6 * 8/3 = 40/18.

40/18 can be simplified to 20/9 or 2 2/9

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