Mathematics High School
Answers
Answer 1
Answer:
The maximum area possible is 648 squared meters.
Step-by-step explanation:
Let the length of the existing wall be [tex]\ell[/tex].
And let the width of the fence be [tex]w[/tex].
The area of the enclosure will be given by:
[tex]A=w\ell[/tex]
Since the area is bounded by one existing wall, the perimeter (the 72 meters of fencing material) will only be:
[tex]72=2w+\ell[/tex]
We want to maximize the area.
From the perimeter, we can subtract 2w from both sides to obtain:
[tex]\ell=72-2w[/tex]
Substituting this for our area formula, we acquire:
[tex]A=w(72-2w)[/tex]
This is now a quadratic. Recall that the maximum value of a quadratic always occurs at its vertex.
We can distribute:
[tex]A=-2w^2+72w[/tex]
Find the vertex of the quadratic. Using the vertex formula, we acquire that:
[tex]\displaystyle w=-\frac{b}{2a}=-\frac{(72)}{2(-2)}=18[/tex]
So, the maximum area is:
[tex]A=-2(18)^2+72(18)=648\text{ meters}^2[/tex]
Related Questions
Find the area of the composite figure. *
4 cm
3 cm
2 cm
3cm
2 cm
Answers
Answer:
its six because on my test ingo it right
how can I evaluate 2x + y4 when X=5 y=9 ?
Answers
Answer: 46
Step-by-step explanation:
2 x 5 = 10
9 x 4 = 36
10 + 36 = 46
Answer:
46
Step-by-step explanation:
subsitute in x and y , so
2(5)+(9)4 = 10 + 36 = 46
a. 4.0
b. 16.0
c. 12.5
d. 11.7
Answers
Answer:
D
Step-by-step explanation:
to find the answer you do the square root of (x2-x1)^2+(y2-y1)^2.
So you just plug it in and get the equation of
the square root of (-4-2)^2+(-8-2)^2 which equals 11.66190379
then you round to the tenths which then comes out to 11.7
Answer:
D. 11.7
Step-by-step explanation:
= √(−4−2)^2 + (−8−2)^2
= √(-6)^2 + (−10)^2
= √36 + 100
= √136
= 11.66 which rounds to 11.7
Find the slope of the line passing through the points (-5,6) and (6,6).
slope:
Answers
Answer:
Step-by-step explanation:
the equation on finding slope is y2 - y1/x2 - x1
so it is...
6 - 6 = 0
6 - -5 = 11
0/11 but that doesnt work so I believe the slope is zero because the denominator is not the one being a 0
hope I helped ;)
Answer: its a zero slope
Step-by-step explanation: i just put them on a graph - uh i think there is another way to do it but i forgot
someone help me with this it’s due tonight !
Answers
yeah just hmu, i’ll fill it out
Solve using suitable property: (-15) x 8 + (-15) x 4
Answers
Step-by-step explanation:(-15)*8+(-15)x4
Is (-15)x(4+8)
(-15)x(12)
Answers is (-180)
Your friend writes 1.475% as a decimal. Is your friend correct? Explain your reasoning. 1.475% = 1.475% = 147.5
Answers
Answer:
no because the decimal doesn't have a % sign its 147.5
Solve the equation for p, then justify your reasoning. -9p - 17 = 10
Answers
Answer:
p=-17/9 or p=-1.8889
Step-by-step explanation:
-9p-17=10
add 17 to each side
-9p-17+17=10+17
-9p=17
divide both sides by -9
-9p/-9=17/-9
p=-17/9
or p=-1.8889
Solution of equation - 9p - 17 = 10 is p = -3.
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation.
Given equation
- 9p - 17 = 10
Add 17 to both sides
- 9p - 17 + 17 = 10 + 17
Adding the numbers
- 9p = 10 + 17
Adding the numbers
- 9p = 27
Divide both sides by - 9
-9p/ - 9 = 27/ - 9
Cancel terms that are in both the numerator and denominator
p = 27/ - 9
Divide the numbers
p = -3
Hence, p = -3 is the solution for equation - 9p - 17 = 10
Learn more about equation here:
https://brainly.com/question/1529522
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what is 42.925 to the nearest whole, tenths and hundredths
Answers
43 (whole) 42.9 (tenths) 42.93 (hundredths)
I need help please help me lol don’t mind my musty computer screen
Answers
Answer:
Is this on IReady? It seems like it to be honest, also solve whats ink the parenthesis first, its PEMDAS basically i hope this helps
Step-by-step explanation:
A plane travels 2000 miles in 4 hours.What is the unit rate or miles per hour of the plane
Answers
Answer:
500
Step-by-step explanation:
2000/4=500
500*4=2000
Answer:
500 miles per hour
Step-by-step explanation:
4 multiplied by 500 is 2000
Can someone tell me some good puns on cheese ?
(Don’t mind the purpose) Thank you !
Answers
Answer:
What Did the Blind Man Say after Being Handed a Cheese Grater?
"That's the most violent book I've ever read."
Step-by-step explanation:
Answer: I could but it will be a little cheesy
Step-by-step explanation:
URGENT: State whether each equation represents a direct, inverse, joint, or combined variation. State the constant of variation.
V = 5n [tex]\frac{t}{m}[/tex]
Answers
Answer:
Combined
Step-by-step explanation:
Explore the relationship between the general forms of variation :
Direct Variation :
x varies directly as y ; x = kx
Inverse Variation :
x varies inversely as y ; x = k/x
Joint : x varies jointly as y and Z ; x = kxz
combined :
x varies directly as y and inversely as z ; x = kx * 1/ ; x = kx/z
Where k is the proportionality constant.
In the equation given above :
We have a combination of joint and inverse variation : V = 5ng
V varies jointly as n and t and inversely as m
V α k * n * t * 1 / m
V = Knt /m
Where, k is proportionality constant.
There are 26 boys and 28 girls from Stella’s class riding on the bus. Some students from a different class join them, so 2 additional boys and 2 additional girls board the bus.
Does the ratio of boys to girls remain the same? Explain your answer. As part of your explanation, give both the old and the new ratios, in lowest terms, of boys to girls on the bus.
Answers
Answer:
Yes
Step-by-step explanation:
Uses a distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor 27+9
Answers
Given:
The expression is
[tex]27+9[/tex]
To find:
The expression as a multiple of a sum of two numbers with no common factor.
Solution:
We have,
[tex]27+9[/tex]
It can be written as
[tex]=3\times 9+9[/tex]
Using distributive property taking out the common factors.
[tex]=(3+1)9[/tex] [tex][\because a(b+c)=ab+ac][/tex]
Therefore, the required expression is [tex](3+1)9[/tex].
PLEASE HELP ME!!!
Which line has an x-intercept of 4?
Answers
Answer:
-2x + 2y = -8
Step-by-step explanation:
2y=2x-8
y=x-4
0=x-4
x=4
Hopefully this helps :) Let me know if you need me to explain it better.
Answer:
-2 x + 2 y = -8
Step-by-step explanation:
radikool
-8 (x-10) - 3 (x+10)
Answers
1. distribute -8 to x-10 that’s going to be
-8x+80 (the minus sign becomes a plus sign because negative + negative = positive)
2. distribute -3 to x+10 and that’s going to be
-3x-30
what we have right now is -8x+80-3x-30
combine like terms
-8x-3x = -11x
80-30 = 50
ANSWER = -11x + 50
A box has 6 red pens, 8 black pens, 2 blue pens, and 4 purple pens.
P(NOT red or blue)
Answers
Answer:
what's the question? I dont see where your coming from.
i'm stuck on this one :(
Answers
Answer:
they are both correct, all sides are equal to eachother yknow?
Step-by-step explanation:
Both are correct:) any side are equal to each other
last month a class collected 240 cans for a canned-food drive. this month the class collected 320 can. what was the percent increase in the numbers of cans collected
Answers
25% I believe
Because 240 is 75% of 320
Hope this helps ^W^
What value of x makes this equation true?
12x - 15 = 6 - 3x
A 7
3
B3
7
5
Answers
The answer is 7/5 i know this because i made this problem
IF RIGHT , YOU WILL BE CROWNED
Answers
Answer:
B
Step-by-step explanation:
The diameter of a circular hatbox is 16 inches. What is the circumference of the hatbox?
Answers
Answer:
≈50.27
Step-by-step explanation:
5/6 + (-4/9) - (-2)
help please!!!!
Answers
Answer:
43/18
Step-by-step explanation:
А
D
50°
B
с
O 25°
O 30°
O
100°
O 50°
Answers
Answer:
∠ CBA = 100°
Step-by-step explanation:
Since BD bisects ∠ CBA , then
∠ ABD = ∠ CBD = 50°
∠ CBA = ∠ CBD + ∠ ABD = 50° + 50° = 100°
sin 60° x tan 45° what is that is for a homework
Answers
Answer:
75 degrees
Step-by-step explanation:
60 = 45= 75 = 180
Because every triangle has 180 degrees in it
PLEASE ANSWER QUCIK I WILL GIVE BRAINLIEST
Answers
Answer:
1/16
Step-by-step explanation:
A flower shop has 460 dozen roses. How many roses are in the flower shop?
Answers
Answer: 5,520
Step-by-step explanation:
Multiply 460 by 12. 12 is one dozen.
4(x - 2) + 3 = 2x - 9
Answers
4(x-2)+3=2x-9
4x-8+3=2x-9
4x-5=2x-9
4x-5+5=2x-9+5
4x=2x-4
x = -2
The value of x from the given equation is -2.
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 4(x - 2) + 3 = 2x - 9.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
4x-8+3=2x-9
4x-5=2x-9
4x-2x=-9+5
2x=-4
x=-2
Therefore, the value of x from the given equation is -2.
To learn more about an equation visit:
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7 less than one fourth of x is y
Answers
Answer:
so....? if you want me to write the expression here it is:
x/4-7=y
