What are the dimensions of the garden with the largest area she can enclose?
The dimensions of the garden with the largest area she can enclose are length for cedar side = 7 foot and width for other side = 10 foot
Let L = length of the fence and W = width of the fence.
Also, let L be the length of cedar fencing.
Since we require one side of cedar fencing and the other 3 sides of cheaper metal fencing, and the cedar fencing costs $13/foot and the cheaper material costs $7/foot, the total cost of fencing is C = 13L + 7L + 2W × 7
= 13L + 7L + 14W
= 20L + 14W.
Since the total amount my friend wants to spend on fencing is $280, C = 280.
So, 20L + 14W = 280
10L + 7W = 140 (1)
Also, the area of the rectangular area is A = LW
From (1), L = (140 - 7W)/10
Substituting L into A, we have
A = LW
A = (140 - 7W)W/10
A = 14W - 0.7W²
To find the value of W that makes A maximum, we differentiate A with respect to W.
So, dA/dW = d(14W - 0.7W²)/dt
dA/dW = 14 - 1.4W
Equating it to zero, we have
14 - 1.4W = 0
14 = 1.4W
W = 14/1.4
W = 10 feet
To determine if this value maximizes A, we differentiate dA/dW with respect to W.
So, d²A/dW² = d(14 - 1.4W)/dW = -1.4
Since d²A/dW² = -1.4 < 0, W = 10 feet is a maximum point.
Since L = (140 - 7W)/10,
substituting W = 10 into the equation, we have
L = (140 - 7W)/10
L = (140 - 7 × 10)/10
L = (140 - 70)/10
L = 70/10
L = 7 feet
So, the dimensions of the garden with the largest area she can enclose are length for cedar side = 7 foot and width for other side = 10 foot
What is the largest area that can be enclosed?
The largest area that can be enclosed is area = 70 foot-squared
Since the area A = LW
Substituting the values of L and W into the e quation, we have
A = LW
A = 7 × 10
A = 70 ft²
So, the largest area that can be enclosed is area = 70 foot-squared
Learn more about dimensions of a rectangular garden here:
https://brainly.com/question/3406221
What is 6 7/9 as an improper fraction? Explain your answer.
Answer:
Step-by-step explanation:
[tex]6\dfrac{7}{9}=\dfrac{(6*9)+7}{9}=\dfrac{54+7}{9}\\\\\\=\dfrac{61}{9}[/tex]
(Will give BRAINLIEST ANSWER If you got it correct)
Perform the following binary multiplication.
1111X111
Answer:
123321
Step-by-step explanation:
HELPPPPP
6. Raymond purchases concert tickets online
for $43.50. There is a 3% processing fee.
What is the total cost of the tickets? Round
to the nearest cent. (Example 3)
Answer:
$44.81
Step-by-step explanation:
Multiplying $43.50 by 1 yields the base price of the ticket (price of one ticket).
Multiplying $43.50 by 0.03 yields the tax on this amount.
Multiplying $43.50 by (1 + 0.03) yields the total unit cost of the tickets:
(1.03)($43.50) = $44.81 (which has been rounded up to the nearest cent)
in Triangle ABC. the measure of the largest angle is 32 less than 3 times the smallest angle. The measure of the middle angle is & more
than half the measure of the largest angle. What is the measure of the middle angle?
Answer:
I hope this helps! Please mark brainliest if the answer is correct!
Step-by-step explanation:
Let "x" be the measure of the smallest angle.
Then the largest angle is "3x - 32" and the middle angle is "8 + 1/2(3x - 32)".
There are 180 degrees in a triangle so adding the three angles gives us 180:
(x) + (3x - 32) + (8 + 1/2(3x - 32)) = 180
x + 3x + (3/2)x - 32 + 8 - 16 = 180
2x/2 + 6x/2 + 3x/2 - 40 = 180
11x/2 = 220
11x = 220(2)
11x = 440
x = 40
So the smallest angle is 40°
The largest angle is 3•40 - 32 = 120 - 32 = 88°
The middle angle is 8 + 1/2(88) = 8 + 44 = 52°
I really need help and if you give wrong answer or link then you are gonna be reported!
Answer:
hope it helps you.......
PLEASE HELP! Don’t steal point I really need helps it worth huge part of grade
A square has a side length of 3x + 4 units. A second square has a side length that is 2 times the side length of the first square. What is the area of the second square?
A. 27x2 + 72x + 54
B. 36x2 + 96x + 64
c. 18x2 + 48x + 32
D. 9x2 + 24x + 16
Answer:
c= 4/3
Step-by-step explanation:
Answer:
i think its letter A
i hope thats still help
In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest side?
Answer:
The Length Of Shortest Side Would Be 3.
In Case Of 30-60-90 triangle, the length of the shortest side is half of that of hypotenuse .
Hope it helps..Find the equation of the line containing the points (-5, 6) and (2, 1).
Step-by-step explanation:
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y - 6)/(1 - 6) = (x + 5)/(2 + 5)
(y - 6)/-5 = (x + 5)/7
7(y - 6) = -5(x + 5)
7y - 42 = -5x - 25
5x + 7y = -25 + 42
5x + 7y = 17
Option → B
(5/6)^2 time (1 1/10)^2
Answer:
121/144
Look at the below screen shot! :)
What is the coefficient in the expression?
9n-2
A) 2
B)9
C) n
Answer:
B) 9
Step-by-step explanation:
The coefficient is the number in front of a given variable (denoted by a letter). In this case, it is 9.
n is the variable.
-2 is the constant.
~
[tex]\large\red{┈──┈──┈──┈──┈──┈──┈──┈──┈─}[/tex]
The best option is letter B). 9
B). 9Please help me please
Answer:
Budgins costs more per can
Step-by-step explanation:
[tex]\frac{3.56}{8} = 0.445 \: pounds \: per \: can[/tex]
[tex]\frac{2.78}{6} = 0.46(3) \: pounds \: per \: can[/tex]
Molly and Memo combined ate 12 pieces of the wedding cake. Molly ate 4 pieces of cake and Memo had 1/4 of the total cake.
Answer: 36 Pieces In The Entire Cake
Step-by-step explanation: Memo had 1/4 pieces of the total cake, so that means that there were four times the value of what Memo ate in the cake, plus what Molly ate. 12 - 4 = 8, 8 times 4 is 32, and 32 plus 4 (what Molly ate) is 36. Hope that helped!
What is the distance between the points (5, 1) and (-3,-5)?
2 V 10
2 V5
10
4V5
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d = \sqrt{(-3-5)^2+(-5-1)^2}\implies d=\sqrt{(-8)^2+(-6)^2} \\\\\\ d=\sqrt{64+36}\implies d=\sqrt{100}\implies \boxed{d=10}[/tex]
plz help brainiest to whoever right
show work
Answer:
2,1
Step-by-step explanation:
Bella is a salesperson who sells computers at an electronics store. She makes a base pay of $60 each day and is also paid a commission for each sale she makes. One day, Bella sold $1000 worth of computers and was paid a total of $70 that day. Write an equation for
P
,
P, in terms of
x
,
x, representing Bella's total pay on a day on which she sells
x
x dollars worth of computers
Answer:
c(100/70)+60 would be your equation
Step-by-step explanation:
Cassandra drew a rectangle that was 1/4 foot long and 7/12 foot wide. What is the area of the rectangle Cassandra drew?
Answer:
7/48 feet wide
Step-by-step explanation:
Answer:
1.875 feet
Step-by-step explanation:
1) Use this rule: [tex]\frac{a}{b} *\frac{c}{d} =\frac{ac}{bd}[/tex]
[tex]\frac{7*1}{12*4}[/tex]
2) Simplify 7 × 1 to 7.
[tex]\frac{7}{12*4}[/tex]
3) Simplify 12 × 4 to 48.
[tex]\frac{7}{48}[/tex]
Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 9, 16, 23, ...9,16,23,....
Answer:
you plus oil sequence together the you get night 16 ÷ 2 number of this turquoise wiki 6 and you get 16 thank you
help! which one is it? I'm confused! :(
Answer:
D is the answer
Step-by-step explanation:
Nicholas is buying shirts for his baseball team. He will pay $12.50 for each shirt
plus a one-time fee of $37.00 for the design.
Which equation can be used to find y , the total cost to buy x shirts?
y = 12.5 x - 37.00
y = 37.00 x + 12.5
y = 12.5 x + 37.00
y = 37.00x - 12.5
Answer:
It would be C.
Step-by-step explanation:
Y would be the Amount he would pay plus the one time fee. So there for it would be Y=12.5+37.00
A recipe calls for 1 tbsp. of salt and 3 tbsp. of cinnamon. If you use 12 tbsp. of cinnamon, how much salt do you need?
Find x to find the measure of the remote interior angle
Answer:
x = 88
Step-by-step explanation:
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
x + 46 = 134
x + 46 - 46 = 134 - 46
x = 88
Let C be the curve parametrized by c(t) = (t, t^2/2) for 0 <=t<=1.
1. (a) Calculate the slope of the tangent line to c(t) at t =1/2
[tex]\\ \sf\longmapsto C(t)=(t,\dfrac{t^2}{2})[/tex]
[tex]\\ \sf\longmapsto C(1/2)=,\dfrac{1}{2},\dfrac{(1/2)^2}{2})[/tex]
[tex]\\ \sf\longmapsto C(1/2)=(\dfrac{1}{2},\dfrac{\dfrac{1}{4}}{2})[/tex]
[tex]\\ \sf\longmapsto C(1/2)=(\dfrac{1}{2},\dfrac{1}{8})[/tex]
Now
Slope
[tex]\\ \sf\longmapsto \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{0-\dfrac{1}{8}}{0-\dfrac{1}{2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{1}{8}}{\dfrac{1}{2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{4}[/tex]
Which equation could be represented by the number line?
-9+8= -1
9+(-8)=1
-1+(-9) = -10
0 -4+(-5)=-9
Answer:
the 2nd one
Step-by-step explanation:
Sorry if it is wrong
find m ABC (2x+14) (x+7)
Answer:
Last option 30°
damm sure about it
Step-by-step explanation:
value of x is 23 but value of Angle ABC will be x +7 i.e. 30
Answer:
30
Step-by-step explanation:
∠ABC + ∠CBD = 90°
x + 7 + 2x + 14 = 90°
x + 2x + 7 + 14 = 90
3x + 21 = 90
Subtract 21 from both sides
3x = 90 - 21
3x = 69
Divide both sides by 3
x = 69/3
x = 23
∠ABC = x + 7
= 23 + 7
= 30
can someone help me solve this?
• FV formula
- this is weekly = 52 weeka
- 30 years
- rate = 0.06%
Step-by-step explanation:
yan po ang sagot ko dahil yan po ang pagkakaintindi ko
Please help!
6 times 7 times (5 times 2)
Answer:
6x7=42 5x2=10 so its 52 if you are doing it this way
 Which two transformations preserve their orientation?
Answer:
Rotation and translation preserve orientation, as objects' pieces stay in the same order. Reflection does not preserve orientation.
Please help me will give brainly if you actually answer the question
Answer:
C. x = 2 years
Step-by-step explanation:
120cm-60cm=60cm
60cm divided by 30cm=2
Hence, x=2 years.
Make a circle graph for each set of data.
03
Top 5 Highest-Grossing Movies in the U.S.
as of December 2003
Movie
Amount in
Millions
Titanic (1997)
the
$601.0
Star Wars (1977)
$461.0
E.T.: The Extra-Terrestrial (1982)
$435.1
Star Wars: Episode 1 - The Phantom Menace (1999)
$403.7
Spider-Man (2002)
$357.1
Source: Scholastic Kid's Almanac
с
a
Spider-
Titanic
Spider-
Titanic
Save and Exit
Next
Submit
Mark this and return
Answer:
D
Step-by-step explanation:
Titanic was the top movie so it should be the biggest piece in the pie, Star Wars, E.T., and Star Wars: Episode 1 are not that far apart in value so their pieces should look similar. Spiderman is the smallest because it had the least value.
this looks pretty easy but i have no idea how you do it can someone help?
thanks :)
