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.
Learn more about areas at:
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Can someone pls help me I need help
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
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?
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?
Answer:
a positive number
Step-by-step explanation:
-(-) = +
for example, -1 * -1 = 1
B is between A and C, BC=38, and AC=42. Find AB
help please!
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
Answer:
8/5
Step-by-step explanation:
...................
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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?
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
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
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
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!!!!!!!!!!!!!!!!!!
Answer:
a = 8, B = - 2, c= - 21
Step-by-step explanation:
Just expand the brackets carefully
ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!!
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
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
Answer:
-2
Step-by-step explanation:
Triangle S
Base = 2Height = 4Triangle L
Base = 4Height = 8For 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.
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
find the slope of the line that is perpendicular to the line graphed in the figure
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?
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:_____
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
Can anyone please help me to find the area of this please
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
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
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
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
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!
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 ?
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
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)
What is the quotient of 5/6 and 3/8?
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