The largest area you can enclose with 120 feet of fencing is 900 square feet.
To find the maximum area you can enclose with 120 feet of fencing, you can use the formula for the area of a rectangle, which is A = lw, where A is the area, l is the length, and w is the width. Since the length of the rectangle is bounded by a wall and cannot be changed, the width will be the variable we seek to maximize.
Since the perimeter of the rectangle is fixed at 120 feet, we can set up the following equation:
2l + 2w = 120
This equation represents the total length of the fence needed to enclose the rectangular field. We can solve for w in terms of l by rearranging the equation as follows:
2w = 120 - 2l
w = (120 - 2l)/2
To maximize the area of the rectangle, we want to maximize the value of w. We can do this by making l as small as possible, since this will make w as large as possible. Therefore, we can set l equal to the minimum possible value, which is the length of the wall.
Let's say the length of the wall is x feet. Then, we can substitute x for l in the equation for w to find the maximum possible width:
w = (120 - 2x)/2
To find the maximum area, we can then substitute this value for w back into the formula for the area of a rectangle:
A = lw
= x((120 - 2x)/2)
= (120x - 2x^2)/2
This is a quadratic function, and we can use the techniques for maximizing quadratic functions to find the maximum value of A. To do this, we take the derivative of the function and set it equal to zero:
A' = (120 - 4x)/2 = 0
120 - 4x = 0
x = 30
Substituting this value back into the equation for A, we find that the maximum possible area is:
A = (120 * 30 - 2 * 30^2)/2
= (3600 - 1800)/2
= 1800/2
= 900 square feet
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Evaluate 7 with an exponent of -2
Answer:
7 x -7 = -49
Step-by-step explanation:
To solve 7 to the power of -2 we multiply 7 by -7.
(っ◔◡◔)っ ♥ Hope It Helps ♥
The value of 7 with an exponent of -2 is 1/49 .
Given,
7 with an exponent of -2.
Now,
Let us simplify the given statement.
[tex]7^{-2}[/tex] = 1/7²
Value of 7² is 49.
Thus the value of 7 with an exponent of -2 is 1/49 .
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Consider the triangles.
Triangle C D E. Angle C is blank, angle D is 87.3 degrees, angle E is 35.5 degrees. Triangle R S T. Angle R is blank, angle S is 57.2 degrees, angle T is 87.3 degrees. Answer the questions about these triangles. What is the measure of angle C? Which angle corresponds to angle C? What can be concluded about the triangles?
Answer:
C = 57.2
Angle S corresponds to angle C
Both triangles are symmetrical to each other.
Answer:
What is the measure of angle C?
57.2
Which angle corresponds to angle C?
angle S
What can be concluded about the triangles?
The triangles are similar.
Step-by-step explanation:
25 ft 8 yd 11 in.
Which is greater?
Answer:
25 ft
Step-by-step explanation:
8 yd = 24 ft
11 in < 1 ft
8 yd < 25 ft
At a sale, a camera was reduced by $8. This represented 10% of the
original price. On the last day of the sale, the camera was sold at 75% of
the original price. What was the final selling price?
Answer:
The answer is 60.
Step-by-step explanation:
1. 8*10=80 #original price
2. 80.....100%
x...... 75%
=> 100x = 6000 => 60
Help me..............
Answer:
the answer is 30 I hope this helps
Find the Mean of the data set 3,3,4,5,6,7,7
Answer:
5
Step-by-step explanation:
3+3+4+5+6+7+7 = 35
35/7 = 5
what percent of 98 is 74
Answer:
75.51%
Step-by-step explanation:
hopefully this helps
x/100 = 74/98
98x = 7,400
x = 7,400/98
× = 75.51 % of 98
This is 7th grade math just trying to see if I’m doing it right so I need this answer please hurry
Answer:
I assume you are trying to find the area of it, then it would be 182m.^2
First correct answer will get Brainliest - due today
Dora has three candles, which will burn for 3, 4 and 5 hours, respectively. If she wants to keep two candles burning at all times, what is the greatest number of hours she can burn the candles? (Dora has a clock that she can use to time the candles.)
Answer:
3 hrs 38.2 min, Candle 2 will be three times the length of candle 1
Step-by-step explanation:
If Dora burns candles that burn for 4 and 5 hours they burn for 9 hours combined one after another.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
here,
Dora has three candles, which will burn for 3, 4, and 5 hours,
The combination of the hours of burning,
3 + 4 = 7 hours
4 + 5 = 9 hours
3 + 5 = 8 hours
Thus, if Dora burns candles that burn for 4 and 5 hours they burn for 9 hours combined one after another.
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$55,000 at 16% compounded
semiannually for 2 years
hope Answer:
74.826.89
Step-by-step explanation:
hopefully helps
Answer: equation for compound interest A=P(1+r/n)^nt
Answer: $74,826.89
Step-by-step explanation: Fill in the numbers for the formula!
Which order pair could represent the location of point h
Help pls!! Find the value of x and the measure of angle C
Answer:
x= 34, <C = 126°
..................
I didn't work it out...I just put the value of x in each option till I got angle c correct...and the only one that worked was the third option
in dividing or subracting three real numbers, does the order matter
Answer:
Yes because you would need to divide first before subtracting
Step-by-step explanation:
Answer:
yes, because of PEMDAS
divison always comes before subtraction
solve by substitution y=3x+5 and y=x+1
Answer:
x= -2 y= -1
Step-by-step explanation:
To solve by Substitution you would make this equation equal to each other x+1=3x+5 from there you would solve for x subtract x on both sides. and subtracting 5 from both sides 2x= -4 then divide by 2 to get x by itself x=-2 since we now found what the value of x is you can now plug in x into one of the origunal equations and get your answer for y which is y=-1
help me! I’m behind in school if you do I’ll give you extra points and stars. I’ll give you a good report.
Answer:
The answer is D, approximately 6.8
Step-by-step explanation:
(I'm gonna be honest, I just looked it up)
plz give some one answrer
Answer:
x=120 (opp. angles of //gram)
Step-by-step explanation:
Because DA//CB and AB//DC (given)
Therefore ABCD is a parallelogram (opp. sides equal)
Therefore,
∠DAB = ∠DCB (opp. ∠s of //gram)
x = 120
NEED HELP WITH THESE
f(x)=x^2-x+1
g(x) = 5 - 3x
Evaluate the following.
1) f(-1)
2)g( -8)
3)f( 1)
4) g(5)
5) f(3)
6) g(-3)
Step-by-step explanation:
1 .f(x)=[tex]x^{2}[/tex]-x+1
f(-1)= (-1)-(-1)+1
f(-1)= 1+1+1
= 3
3.f(x)=[tex]x^{2}[/tex]-x+1
f( 1)=(1)-1+1
f( 1)=1-1+1
=1
5. f(x)=[tex]x^{2}[/tex]-x+1
f(3)=[tex](3)^{2}[/tex]-3+1
= 9-3+1
=7
2. g(x) = 5 - 3x
g( -8)=5-3(-8)
g( -8)=5+24
=29
4.g(x) = 5 - 3x
g(5)=5-3(5)
g(5)=5-15
=-10
6.g(x) = 5 - 3x
g(-3)=5-3(-3)
g(-3)=5+9
=14
g(n) = 1 + 3
h(n) = -n -1
Find: (g/h)(-5)
Answer: look at the picture
Step-by-step explanation: Hope this help :D
-Let solve for g
g/h=-5
Step 1: Multiple both sides by h.
g=-5h
Answer: g=-5h
A research submarine dives at a speed of 100 ft/min directly toward the research lab. How
long will it take the submarine to reach the lab from the surface of the ocean?
It will take minutes for the submarine to reach the lab from the surface of the ocean
(Round to one decimal place as needed.)
Answer:29.2
Step-by-step explanation:
Answer:29.2m
Step-by-step explanation:
HELP WILL GIVE BRainlist 20 points
Answer:
11. x = 5
12. x = 24
Step-by-step explanation:
11.
8x° + 140° = 180°
(Linear pair angles)
8x° = 180° - 140°
8x° = 40°
x ° = 40°/8
x° = 5°
x = 5
12.
2x° + 42° = 90°
(complementary angles)
2x° = 90° - 42°
2x° = 48°
x ° = 48°/2
x° = 24°
x = 24
5(4x+1) what is it?
Answer:
20x+5
can I get brainiest
Step-by-step explanation:
Answer:
20x+5
Step-by-step explanation:
Distribute
5 ( 4 + 1 )
2 0 + 5
when I need to reduce the number by 13%, just multiply it by the number ...
Answer:
0.87
Step-by-step explanation:
Solve for C.
Thank you to whoever answers!!!!!!!!!!!!!!!!!!!
Answer:
c=7
Step-by-step explanation:
How to solve your problem
8=−3+29
8=−3c+298=-3c+298=−3c+29
Solve
1
Subtract
29
292929
from both sides of the equation
8=−3+29
8=−3c+298=-3c+298=−3c+29
8−29=−3+29−29
8−29=−3c+29−298{\color{#c92786}{-29}}=-3c+29{\color{#c92786}{-29}}8−29=−3c+29−29
2
Simplify
3
Divide both sides of the equation by the same term
4
Simplify
Solution
=7
Hope this helps!
Have a great day!
-Lea
While teaching at the University of Pisa in 1589, Galileo tested Aristotle’s laws of falling objects by dropping large metal projectiles off the?
.A university building
B. church tower
C. Leaning tower of Pisa
D.Eiffel Tower
He concluded that a heavier object dropped from the same height as a lighter object will land?
A. before the lighter objects lands
B. after the lighter objects land
C. at about the same time as the lighter objects
Answer:
C. Leaning tower of Pisa and C. at about the same time as the lighter objects
Step-by-step explanation:
Answer:
Leaning Tower of Pisa
at about the same time as the lighter objects
Step-by-step explanation:
100 on edge
PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR
Answer:
1. c/5=3.25
2. 16.25
Answer:
The last box.
Step-by-step explanation:
The "c/5" means c divided by 5.
Notebook costs $5,write an expression to show how much (n) notebook costs.
To find the total cost you would multiply the cost of a notebook by the number of notebooks purchased:
Total = 5n
Please help me I’ll mark brainliest:)
Answer:
x = 4
Step-by-step explanation:
If the interest 4,000 for 4 years is 1,280 what is the interest rate
Answer:
For example, with a $4,000 deposit and an annual interest rate of 8 percent, the simple interest after four years would be $1,280. This is calculated by multiplying the principal (P) by the rate (R) and by the rate of time (T): 4,000 x 0.08 x 4 = 1,280.
Step-by-step explanation:
I hope the answer help you
Izzy is saving up for a road trip that is happening6 weeks from today. At this moment, Izzy has $90 in her savings account. She plans on saving $25 a week.
Answer:
$210
Step-by-step explanation:
Given data
time = 6 weeks
initial amount= $90
saving per week = $25
Hence the expression for the total savings after the 6 weeks is given as
y= mx+c
where
m= $25
x= 6 weeks
c= $90
substitute
y=25*6+90
y= 150+60
y= $210
Hence the total amount after 6 weeks is $210
Explain why dividing each side of \small 3x^2=6x by \small 3x is not a reliable way to solve the equation.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]3x^2 = 6x[/tex]
Required
Why dividing by [tex]3x[/tex] is not reliable
The reason is that, the given expression is a quadratic equation and as such, it will most likely have two solutions.
So, when the expression is divided by [tex]3x[/tex], the solution will be [tex]x = 2[/tex], leaving out the other possible solution.
The right way is:
[tex]3x^2 = 6x[/tex]
Subtract 6x from both sides
[tex]3x^2 - 6x = 6x - 6x[/tex]
[tex]3x^2 - 6x = 0[/tex]
Factorize
[tex]3x(x - 2) = 0[/tex]
Split
[tex]3x = 0\ or\ x - 2 = 0[/tex]
Solve for x in both cases:
[tex]x = 0\ or\ x = 2[/tex]