Answer:
Rachel will need 49 meters of fencing.
Step-by-step explanation:
From Geometry we know that area of the square ([tex]A[/tex]), measured in square meters, is represented by the following formula:
[tex]A = l^{2}[/tex] (Eq. 1)
Where [tex]l[/tex] is the side length of the square, measured in meters.
The length of the square is now cleared:
[tex]l = \sqrt{A}[/tex]
If we know that [tex]A = 150\,m^{2}[/tex], then the side length is:
[tex]l =\sqrt{150\,m^{2}}[/tex]
[tex]l \approx 12.247\,m[/tex]
The total amount of fencing is equal to the perimeter of the square ([tex]p[/tex]), measured in meters, that is:
[tex]p = 4\cdot l[/tex] (Eq. 2)
If we know that [tex]l = 12.247\,m[/tex], then the perimeter of the square is:
[tex]p = 4\cdot (12.247\,m)[/tex]
[tex]p = 48.988\,m[/tex]
As fencing is cut into 1-m lengths, we need to round this number up to the nearest integer. That is:
[tex]p = 49\,m[/tex]
Rachel will need 49 meters of fencing.
who’s is combined thickness of these shims: 0.008, 0.125, 0.15, 0.185 and 0.005 cm?
0.338 is the answer
hope this helped
Based on the information, the combined thickness will be 0.3338.
From the information given, we are told to find the combined thickness of these shims: 0.008, 0.125, 0.15, 0.185 and 0.005 cm.
This simply means that we need to add the decimals. This will be:
= 0.008 + 0.125 + 0.15 + 0.185 + 0.005
= 0.3338 cm
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A Super Lemon currently weighs 100 kg and is increasing by 4 kg per day. The price for Super Lemon’s
is currently $8.90 per kg but is decreasing at $0.30 per day. The cost to grow the lemon is $0.80 per
day.
Determine how many days from now the lemon should be sold to maximize profit and what the
maximum profit will be.
The lemon should be sold 3 days from now to maximize profit, which would be $894.80.
Profit calculationGiven that a Super Lemon currently weighs 100 kg and is increasing by 4 kg per day, and the price for Super Lemon’s is currently $8.90 per kg but is decreasing at $0.30 per day, and the cost to grow the lemon is $0.80 per day, to determine how many days from now the lemon should be sold to maximize profit and what the maximum profit will be, you should perform the following calculation:
Initial profit = $890(100 + 4x1) x (8.90 - 0.30x1) - (0.80x1) = 893.6(100 + 4x5) x (8.90 - 0.30x5) - (0.80x5) = 884(100 + 4x2) x (8.90 - 0.30x2) - (0.80x2) = 894.8(100 + 4x3) x (8.90 - 0.30x3) - (0.80x3) = 893.6Therefore, the lemon should be sold 3 days from now to maximize profit, which would be $894.80.
Learn more about profit calculation in brainly.com/question/13806160
A cone has a radius of 6 inches and a height of 20 inches.
What is the EXACT volume of the cone?
Answer:
753.98224
Step-by-step explanation:
v=pie r^2 h/3=piex6^2x20/3=753.98224
HELP A GORL OUT PLEASE
Answer:B
Step-by-step explanation:
need help with thiss
Answer:
10n^2 + 2n + 16
Step-by-step explanation:
Rectangles have the same length and same width. So we can deduce that the top side is 5n^2 - 1, and the left side is n + 9.
Now all we need to do is add all 4 sides up:
(5n^2 - 1) + (5n^2 - 1) + (n + 9) + (n + 9)
or
2(5n^2 - 1) + 2(n + 9)
= 10n^2 - 2 + 2n + 18
= 10n^2 + 2n + 16
In the figure, c ∥ d. What are the measures of ∠1 and ∠2? Enter your answers in the boxes.
AlternativeText
m∠1 = °, m∠2 =
Angle 1 is 105 degree
Angle 2 is 75 degree
Which of the expressions below can be factored using the difference of
squares method?
A. 17x^2+23y^2
B. 25x^2+64y^2
C.25x^2-64y^2
D.17x^2-23y^2
Answer:
C
Step-by-step explanation:
A difference of squares can be factored in general as
a² - b² = (a - b)(a + b)
We are looking for 2 terms separated by a - and perfect squares on either side. The only one meeting this criteria is
25x² - 64y²
= (5x)² - (8y)²
= (5x - 8y)(5x + 8y) ← in factored form
Can you help me this the workings and the answer?
Thanks a bunch!!
Answer:
(multiply both sides by 6)
6×[tex]\frac{4h+4}{6}[/tex]-10×6=-2h×6
(simplify)
4h+4-60=-12h
4h-56=-12h
(move constant to the right side and variable to the left)
4h+12h=56
16h=56
(divide both sides by 16)
h=7/2
GEOMETRY, help asap please!
Answer:
A
Step-by-step explanation:
It’s the opposite
Anna does sit-ups to get ready for her first triathlon. When she starts, she does a sit-up every 222 seconds. But, as she gets tired, each sit-up takes longer and longer to do. Is the number of sit-ups Anna does proportional to the time she spends doing them? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
Answer:
Choice B) No.
Step-by-step explanation:
When she starts , she does a sit-up every 222 seconds.
But as she gets tired, each sit-up takes longer and longer to do.
It means, each sit-up takes more time than she did at beginning.
So, it is NOT proportional to the time.
If it is proportional, she should take constant number of sit-ups even she get tired.
Answer:
No
Step-by-step explanation:
Khan
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Step-by-step explanation:
I wrote the steps step-by-step for you
I hope you understand...
Answer:
Step-by-step explanation:
3x^2 + 8x - 16 - SOMETHING = x^2 - 4
Re-arranging left and right:
SOMETHING = 3x^2 + 8x - 16 - x^2 + 4
= (3x^2 - x^2) + 8x - 16 + 4
= 2x^2 + 8x - 12
Sandy can rake 20 bags of leaves in 4 hours. Sarah can rake 28 bags in 4 hours. If they work together, how long will it take to rake 54 bags of leaves?
(A) 4 1/2 hours
(B) 4 hours
(C) 3 3/4 hours
(D) 2 hours
Answer:
A
Step-by-step explanation:
hope you get it
Number 7. Please asap.
7a)
[tex]\frac{n(n - 3)}{2} = 665\\n(n - 3) = 665 \cdot 2\\n(n - 3) = 1330\\n^2 - 3n = 1330\\n^2 - 3n - 1330 = 0\\n = \frac{-(-3) \pm \sqrt{(-3)^2 - 4 \cdot 1 \cdot (-1330)}}{2 \cdot 1} = \frac{3 \pm \sqrt{9 + 5320}}{2} = \frac{3 \pm \sqrt{5329}}{2} = \frac{3 \pm 73}{2}\\n_1 = \frac{3 + 73}{2} = \frac{76}{2} = 38\\n_2 = \frac{3 - 73}{2} = \frac{-70}{2} = -35[/tex]
If n is the amount of sides then there's 38 sides in a polygon with 665 diagonals
7b)
We do the same as 7a) but with 406. We get that [tex]n_1 = 30.04[/tex] and [tex]n_2 = -27.04[/tex]. A polygon cant have 30.04 sides
Answer: A. 38 sides
B. When solved, you get -27.04 sides or 30.04 sides. Neither of these are possible because the number of sides cannot be negative or a decimal.
Step-by-step explanation: Part A:
If the polygon has 665 diagonals, set your original n-sided polygon equal to it.
n(n - 3)/2 = 665
Multiply both sides by 2 so it’s not in the denominator.
n(n - 3) = 1330
Distribute n and subtract 1330 from both sides so it is equal to zero.
n² - 3n - 1330 = 0
Factor it:
(n - 38)(n * 35) = 0
Solve for n by setting it equal to zero:
n = 38 & n = -35
The number of sides cannot be negative, therefore, the answer to Part A is 38 sides.
Part B:
Set your original n-sided polygon equal to 406 and solve to prove that a polygon cannot have 406 diagonals.
n(n - 3)/2 = 406
Multiply both sides by 2 so it’s not in the denominator.
n(n - 3) = 812
Distribute n and subtract 812 from both sides so that it is equal to zero.
n² - 3n - 812 = 0
This cannot be factored, so plug it into the Quadratic Formula. Here are the values you need for the Quadratic Formula based on the polynomial above:
a = 1
b = -3
c = -812
When you solve this, you will get:
n = -27.04 and n = 30.04
A polygon cannot have negative sides and it cannot have decimal sides. It has to be a positive integer (positive whole number).
Marlena solved the equation 2x + 5 = –10 – x. Her steps are shown below.
2x + 5 = –10 – x
3x + 5 = –10
3x = –15
x = –5
Answer:We are asked to evaluate Marlena's solution in solving the expression below: 2x+5 = -10 -x
The first step is to re-write the expression and transpose same terms in the left side while all numbers are transferred to the right side such as shown below:
Step 0: 2x+5 = -10 -x
Step 1: 2x + x = -10 -5
Step 2: 3x = -15
Step 3: x =-15/3
The answer is x=-5.
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
Consider the function represented by the table.
What is f(0)?
4
5
6
7
Answer:
f(0) = 4
Step-by-step explanation:
just trust me on this one
Answer:
a on edge.
Step-by-step explanation:
f(0) = 4
Write a proof for the statement.
If a quadrilateral is a square, then the quadrilateral is a rectangle.
pls help and please give a serious and right answer thx :D
Answer:
AC=16
Step-by-step explanation:
6x+2=5x+3
6x-5x=3-2
X=1
——-
6(1)+2+5(1)+3=16
Please help,
with capital held constant, when zane employs one additional worker, the marginal product of labor decreases by 5 units. which economic concept best characterizes zane’s production process
The economic concept that best characterizes zane’s production process is diminishing marginal product.
What is diminishing marginal product?Diminishing marginal product is an economic concept which states that says as more quantities of a variable input in the production process is added to a fixed factor used in production, output might increase initially but after a point total output would increase at a decreasing rate and marginal product would begin to decrease.
To learn more about diminishing marginal product, please check: https://brainly.com/question/13923885
Divide: 1 / 3 by 6
what is the answer?
Answer:
hi
Step-by-step explanation:
Wendy and Connor each deposit $8,300 into accounts that earn 3. 5% interest for 25 years. Wendy's account earns annual simple interest and Connor's account earns annual compound interest.
How much more interest will they earn?
List the range for set p={1,2,3,4,5} and set Q={1,4,9,16,25,26}
Answer:
Set p =4
Set q=25
Step-by-step explanation:
Range is highest value minus lowest value
Set P=5-1=4
Set Q=26-1=25
The speed limit on a road is 45 mph. you want to clock the speed of a random sample of cars to test the hypothesis that the average speed of cars is greater than the speed limit. what kind of test would you use?
The test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test
When do we use one sample t-test?When we want to find out from the sample if the unknown population mean is different from some specific value, then we can use one sample t-test.
The test statistic is:
[tex]t = \dfrac{\overline{x} - \mu_0}{s/\sqrt{n}}[/tex]
where we have:
[tex]\overline{x}[/tex]= mean of the samples = sample standard deviation[tex]\mu_0[/tex] = the specific value we're comparing population mean with.n = sample sizedegree of freedom = n - 1For this case, we want to test the hypothesis that the average speed of cars is greater than the speed limit.
That means we want to know if
unknown population mean (the average speed of cars) > speed limit (45).
symbolically, we want to test if [tex]\mu > 45[/tex] (in miles per hour)
Thus, the test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test
Learn more about one sample t-test here:
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Answer: Right-tailed test
Step-by-step explanation:
I just got it right on edu
Can anyone help me with my homework, it would be greatly appreciated.
Answer:
The answer is 2.8 because it is the same length as the other side
Step-by-step explanation:
1. An object is propelled off of a platform that is 75 feet high at a speed of 45 feet per second (ft./s). The height of the object off the ground is given by the formula h(t) = -16t^2 + 45t + 75, where h(t) is the object's height at time (t) seconds after the object is propelled. The downward negative pull on the object is represented by -16t^2. Solve for t.
Directions:
Read each problem carefully. Solve each quadratic equation for the variable(s) specified. Be sure to show all of your work. Explain in two to three sentences what the meaning of the solution(s) are in relation to the problem situation
Answer:
3.987923694
Step-by-step explanation:
Quadratic formula and plug in the numbers:
T = (-45 +-(sqrt(2025+4800)))/-32
the object will be at a height of 0 feet 0.97 seconds and 4.53 seconds after it is propelled.
How do we calculate?h(t) = -16t² + 45t + 75
-16t² + 45t + 75 = 0
using the quadratic formula:
t = (-b ± √(b² - 4ac)) / (2a)
a = -16, b = 45, and c = 75.
We then Substitute these values into the quadratic equation
t = (-(45) ± √((45)² - 4(-16)(75))) / (2(-16)
t = (-45 ± √(2025 + 4800)) / (-32)
t = (-45 ± √6825) / (-32)
We find the value of t using both the positive and negative square root:
t₁ = (-45 + √6825) / (-32)
t₂ = (-45 - √6825) / (-32)
t₁ =0.97 seconds
t₂= 4.53 seconds
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What is the equation of the function that is graphed as line a?
y=-3x-2
y=3 x + 2
y=- 1/3 x - 2
y=1/3- x2
47 = 2(x + 3) + 3(x - 3)
what's the answer to this ?
[tex]47 = 2(x + 3) + 3(x - 3)[/tex]
[tex]47 = 2x + 6 + 3x + - 9[/tex]
[tex]47 =(2 x + 3x) + (6 + - 9)[/tex]
[tex]47 = 5x + - 3[/tex]
[tex]47 = 5x - 3[/tex]
[tex]5x - 3 = 47[/tex]
[tex]5x = 47 + 3[/tex]
[tex]5x = 50[/tex]
[tex]x = \frac{50}{10} [/tex]
[tex]x = 10[/tex]
Let us check whether or not we have found out the correct value of x by placing 10 in the place of x .
So :-
[tex]47 = 2(10 + 3) + 3(10 - 3)[/tex]
[tex]47 = (20 + 6) + (30 - 9)[/tex]
[tex]47 = 26 + 21[/tex]
[tex]47 = 47[/tex]
LHS = RHSAs the left hand side of the equation is equal to the right hand side of the equation , we have found out the correct value of x .
Therefore , 47 = 2 ( 10 + 3 ) + 3 ( 10 - 3 ) and x = 10 .
Are these equations the same ? True or false.
10 - x ≤ 35
- x ≤ 35 - 10
- x ≤ 25
x ≥ - 25
true
PLEASE ANSWER QUICK On a number line, a segment has endpoints of -2.5 and 4.5. What is the midpoint?
Answer: 2
Step-by-step explanation: See all you have to do is have 4.5 + -2.5 and the answer from that is your midpoint
Edit: This is for a number line
please help thanks. ☺️
May someone tell me why is this wrong?
Answer:
ummm maybe because you used [ instead of ( ?
Step-by-step explanation:
i feel like yours should be correct though since its including -3