Answer:
For width W and length L, we have:
W = L = √(75ft^2) = 8.66ft
Step-by-step explanation:
For a rectangle of length L and width W, the area is:
A = L*W
and the perimeter is:
P = 2*L + 2*W
First, we know that the area of our rectangle is:
A = 75ft^2 = L*W
And we want to minimize the perimeter of our rectangle, then we need to minimize:
P = 2*L + 2*W
From the equation:
75ft^2 = L*W
We can isolate one of the variables, let's isolate L
L = (75ft^2)/W
We could replace this in the perimeter equation:
P(W) = 2*( (75ft^2)/W) + 2*W
P(W) = (150 ft^2)/W + 2*W
To find the minimum of the perimeter we need to look at the zero of the first derivative of P(W).
P'(W) = dP(W)/dW = -(150ft^2)/W^2 + 2
Now we need to find the value of W such that:
P'(W) = 0
0 = -(150ft^2)/W^2 + 2
(150 ft^2)/W^2 = 2
(150ft^2) = 2*W^2
(150ft^2)/2 = W^2
75 ft^2 = W^2
√(75ft^2) = W = 8.66ft
And remember that:
L = (75ft^2)/W
replacing with W = √(75ft^2)
L = (75ft^2)/√(75ft^2) = √(75ft^2)
Then:
W = L = √(75ft^2) = 8.66ft
Jaquol is making a recipe that uses 2 cups of sugar for every 3 cups of flour. If he uses a total of 40 cups of these ingredients, how many cups of sugar were
required?
Answer:
16 cups of sugar
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
So our ratio here is 2:3. Here's what we're gonna do:
2 + 3 = 5 for every time he makes the recipe
40 / 5 = 8
To double check:
2 x 8 = 16
3 x 8 = 24
16 + 24 = 40
You find a piece of wood that is 10.23 cm long and your friend finds on ethat is 17.65 cm long how long would they be if you attached them?
By adding the lengths of the two pieces of wood (10.23 cm and 17.65 cm), they would be 27.88 cm long when attached.
Addition is the process of adding two or more numbers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum.
Given that,
The length of your wood = 10.23
The length of your friend's wood = 17.65
Denote the length of your piece of wood as "x" and the length of your friend's piece as "y".
In this case,
x = 10.23 cm
y = 17.65 cm.
To find the total length when they are attached,
Add the lengths as
x + y = 10.23 cm + 17.65 cm
Now, calculate the sum:
x + y = 27.88 cm
Hence,
If you attach the two pieces of wood, the total length would be 27.88 cm.
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THIS IS VERY IMPORTANT I WILL GIVE BRAINLIEST TO THE PERSON WHO DOES ALL 5 QUESTIONS FOR ME.
Answer:
Step-by-step explanation:
406525%Answer:
Q1; 40
Q2; 65
Q3; B (25)
Q4; A (?)
Q5; 63
Step-by-step explanation:
I believe
21 points Brailiest pic below
Adam jogs at an average speed of 10km/h from his house to the airport. The airport is 7km away from his house. At what time must Adam leave his house in order for him to reach the airport at 7:20 am.
Answer:
6:38am
Step-by-step explanation:
From the question we are told that
Average speed [tex]V_{avg}=10km/h[/tex]
Distance traveled [tex]d=7km[/tex]
Generally the velocity across a distance is mathematically given given as [tex]V=d/t[/tex]
[tex]10=\frac{7}{t}[/tex]
[tex]t=0.7h\\t=42minutes[/tex]
Therefore
7:20-42 minutes =6:38am
The Brooklyn Bridge has towers that reach a height of 276 feet above
the water level. The foundation is 78 feet below the water level. What
is the distance from the top of the towers to the foundation?
Answer:
354
Step-by-step explanation:
276+78
354
Find the mean of the following data set
41,7, 39, 11, 23, 31, 27, 7, 12
0 29
0 198
0 99
022
Answer:
22
Step-by-step explanation:
Add al the digits (198) then divide by how many digits there are (9)
198÷9=22
Item 7
How many grams are there in 12 kilograms?
Answer:
12,000
Step-by-step explanation:
Answer:
12000Step-by-step explanation:
(1 kilogram = 1000 grams)
12 kilograms = 12000 gramsI hope this was helpful! =)y / 4 + 8 = 22 Answer?
Answer:
y = 3.5
Step-by-step explanation:
First, you do 14/4 which = 3.5
Hope this helps!
Answer:
y/4+8=22
y/4=22-8
y/4=14/1
y=56
draw the grid of 3y- 4x=12
is x²-x divisible by 2?
Answer:
Yes
Step-by-step explanation:
There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.
Answer:
Step-by-step explanation:
No, because [tex](x^2-x)/2[/tex] does equal [tex]x^2/2-x/2[/tex]. Honestly, it really depends on the value of x, as it provide whether or not the expression is divisible by 2.
PLEASE HELPPP
10. (07.04 LC)
If 8x = 48, then x =
Answer:
6
Step-by-step explanation:
48/8=6
divide each side by 8
Answer:
x = 6
Step-by-step explanation:
If you divide both sides of the equation by 8, then you end up with x = 6.
Help me plz due in a little bit
Answer: vertical & x = 25
75 = 4x - 25
100 = 4x
x = 25
hey could someone explain this to me?
Answer:
x = 10.57 ft
Step-by-step explanation:
cos 41° = x/14
0.7547 = x/14
x = 10.57 ft
A car salesman sold a cat for $23,575, earning a commission of 4%. How much was his commission? '
Answer:
The commission is 943
Step-by-step explanation:
Take the price of the cat and multiply by the commission rate
23575 * 4%
23575 *.04
943
The commission is 943
25 points need ASAP
Write and solve a proportion to answer the question.
17 out of 25 marbles in a bag are red. What percent of the marbles are red? Show work,
-Answers for the points will result in a report-
Answer:
68%
Step-by-step explanation:
17 divided by 25 =0.68
make the decimal into a precent
Answer:
5℅
Step-by-step explanation:
Hope I helped, have g'day!
equivalent expression 7s+8t+10s+12t
Answer:
17s+20t
Step-by-step explanation:
Kit charges customers an initial fee plus a certain amount per hour to walk their pets. The table below shows the amount of money that Kit earns at her job based on the number of hours that she works. Which of the following equations represents a scenario where Kit would charge customers a higher rate to walk their pets than what is shown in the table?
Answer:
The answer would be 7.5
Step-by-step explanation:
This is due to if there were to be a chart it would start at 15 then continue by 7.5 which would then lead to 1 hour which is 22.5 min additionally other people are not answering this because you did not give all the information such as the chart etc and the answers unlike me i have the toolds and the questions.
The equation y = 8x+10 represents a scenario where Kit is charged a higher hourly rate to walk their pets.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
As per the table:
When the hours are 0 earnings are $15
Initial fee = $15
And when hours are 1 earnings is 22.5
∴ $22.5 = initial fee + hourly rate
Hourly rate to walk their pets = 22.5 - 15 = $7.5
So from the equation:
y = 7.25x + 20
Here 7.25 is the hourly rate to walk their pets and 20 represents the initial cost.
After observing all the equations:
In the equations:
y = 8x + 10
The hourly rate to walk their pets is 8 and the initial cost is $10 in this case Kit is charged a higher hourly rate.
Thus, the equation y = 8x+10 represents a scenario where Kit is charged a higher hourly rate to walk their pets.
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need help pls , 20 points
no links or else I will report
Answer:
x=72
Step-by-step explanation:
x=3/4x+18
4(x=3/4+18)
4x=3x+72
x=72
Answer:
18² + (3/4x)² = x²18² = x² - 9/16x²18² = 7/16x²x² = 16*18²/7x = 72/√7x ≈ 54.42Please I need help ASAP
3. This equation can be used to find p, the dollar amount of Ms. Steven's last paycheck.
p = 315 +85 x 3
What was the amount of Ms. Steven's paycheck?
During a school assembly, 15 out of 60 students wore orange shirts to show school spirit. what percent of the students did NOT wear orange shirts?
Answer: 75%
15/60 wore orange shirts
45/60 didn’t
45/60 = 0.75 = 75%
An expression is shown
1608÷268
What is the value of the Expression
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
1608/268=6
268*6=1608
**next time try to figure it out with a calculator before asking on brainly, it'll save you the points**
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Which is the graph of f(x)=1/4(4)c?
Answer:
The seacont one will be your answer hope it helps
Step-by-step explanation:
Find the area of each regular polygon. Leave your answer in simplest form.
Answer:
Unfortunately, I can't be able to see the image. Please adjust.
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.410.410, point, 4 years; the standard deviation is 1.91.91, point, 9 years.
Use the empirical rule (68-95-99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a meerkat living less than 16.116.116, point, 1 years.
Answer:
99.85%
Step-by-step explanation:
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years.
Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living less than 16.1 years.
Solution:
The empirical rule states that for a normal distribution most of the data fall within three standard deviations (σ) of the mean (µ). That is 68% of the data falls within the first standard deviation (µ ± σ), 95% falls within the first two standard deviations (µ ± 2σ), and 99.7% falls within the first three standard deviations (µ ± 3σ).
Therefore:
68% falls within (10.4 ± 1.9). 68% falls within 8.5 years to 12.3 years
95% falls within (10.4 ± 2*1.9). 95% falls within 6.6 years to 14.2 years
99.7% falls within (10.4 ± 3*1.9). 68% falls within 4.7 years to 16.1 years
Probability of a meerkat living less than 16.1 years = 100% - (100% - 99.7%)/2 = 100% - 0.15% = 99.85%
Answer:
13.5%
Step-by-step explanation:
My Classes
illi
MULTIPLE CHOICE QUESTION
What is the probability of rolling a 5 on a
die and tossing a coin and getting a
heads?
Answer:
1/12
Step-by-step explanation:
Meaning of the word break-even
Answer:
Breakeven is often used in finance, it means the point of reaching a balance.
Step-by-step explanation:
Simplify:
5 1/2 - 2 1/4
1 3/4 + 1 1/2
What is the value of x in the equation 8 + x = 3?
A. −5
B. 5
C. 11
D. 24
Answer:
I think it's A
I hope this helps
