Answer:
Length of the shorter side = -10 units or 22 units.
Explanation:
Let x = length of the longer side of the rectangle
Let y = length (width or breadth) of the shorter side of the rectangle
Given the following data;
x = y + 12
Area = 220 units
We know that the area of a rectangle is given by the formula;
[tex] Area, A = length * width[/tex]
Substituting into the equation, we have;
[tex] 220 = (y + 12) * y[/tex]
[tex] 220 = y^{2} + 12y[/tex]
Rearranging the equation, we have;
[tex] y^{2} + 12y - 220 = 0[/tex]
Solving the quadratic equation by factorization, we have;
Factors are = -10 and 22
[tex] y^{2} - 10y + 22y - 220 = 0[/tex]
[tex] y(y - 10) + 22(y - 10) = 0[/tex]
[tex] (y - 10)(y + 22) = 0[/tex]
Therefore, y = 10 units or -22 units
To find the value of x;
When y = 10 units
x = y + 12
Substituting into the equation;
x = 10 + 12 = 22
x = 22
When y = -22 units
x = y + 12
Substituting into the equation;
x = -22 + 12 = -10
x = -10
Check;
When x = 22 and y = 10
A = L * W = 22 * 10 = 220 units
When x = -10 and y = -22
A = L * W = -10 * -22 = 220 units
What's the ozone layer made of?
Answer:
The ozone layer, also called the stratosphere, is composed of the ozone gas (90% of the total ozone in the atmosphere). The ozone has three oxygen atoms, and it is the result of the action of Ultra Violet (UV) radiation on oxygen molecules, composed of two oxygen atoms.
Answer:
The ozone layer, also called the stratosphere, is composed of the ozone gas (90% of the total ozone in the atmosphere).
Explanation:
The ozone has three oxygen atoms, and it is the result of the action of Ultra Violet (UV) radiation on oxygen molecules, composed of two oxygen atoms.
how many laws are there in california
Answer:
California Law consists of 29 codes, covering various subject areas.
who plays adopt me on rob.lox!! TELL me your best pet and user if you play
my user is whitdawggy5678 freind me if you could play
Answer:
i just started it nothing yet
Explanation:
very sad
Answer:
I have mega owl and neon cow and mega frost, those are my best pets
What are a few things you like about Among Us are people being sus that you have to vote them out every single time or is it because that imposters and crewmates are being super sus about that! Also do you know the meme I like it cut G.
I like almost everything about Among us except the glitches which happen often. I would prefer to vote out a member who seems suspicious. And yeah Ik the meme.
Answer:
this is so true in among us
Explanation:
What causes chemical imbalances in the brain?
Answer:
chemical imbalances happen to diseases injuries,aging,chronic dress and poor nutrition. when most people talk of chemical imbalance , espee doctors and researchers, they're referring to an imbalance old neurotransmitter or chemical messengers of brain.
Explanation:
this is the answer
Where did the British surrender after their plan to divide the northern colonies failed?
Bunker Hill
Trenton
Saratoga
Valley Forge
Answer:
His surrender to American forces at the Battle of Saratoga marked a turning point in the Revolutionary War. The Battle of Saratoga was the turning point of the Revolutionary War. The scope of the victory is made clear by a few key facts:
we got to go pew pew guys.
Answer:
what the heck
Explanation:
Answer:
ok
Explanation:
The author mentions the longhouse as an example of a building that was
O not designed to be moved
O made of wood
O common only in the Southeast
O used by migratory peoples
Answer:
what the main story/poem is?
which of the following are the mental benefits of dancing
Question
The passage suggests that
O global warming is not as dangerous as people think
O climate change will likely not affect animals
o there is no scientific evidence to support Gore's claims about global warming
o there is some disagreement about the existence and impact of global warming
Answer:
I think the answer is the last one or the second one. Yes last or second im sure of it
Explanation:
A certain student has taken 74 credit hours so far in college. The equation 14x + 16y= 74
represents this situation, where x is the number of fall semesters and y is the number of spring
semesters in which the student has taken classes. How many more credit hours did the student take
in each spring semester than in each fall semester?
Answer:
2 credit hours
Explanation:
Given
14x + 16y = 74
Required
Determine the number of credit hours y greater than x
From the question, we understand that
y => spring semesters
x => fall semesters
From the equation,
14 represent the number of credit hours in each fall semester
16 represent the number of credit hours in each spring semester
Calculate the difference.
Difference = 16 hours - 14 hours
Difference = 2 hours
Hence, the student take 2 more hours in each spring semester than in each fall semester
A political candidate has asked his/her assistant to conduct a poll to determine the percentage of people in the community that supports him/her. If the candidate wants a 10% margin of error at a 90% confidence level, what size of sample is needed? Be sure to round accordingly. The candidate would need to survey people in the community in order to be within a 10% margin of error at a 90% confidence level.
Answer:
The size of the sample needed = 67.65
Explanation:
Given that :
The margin of error = 10% = 0.10
The confidence level = 90% = 0.90
Level of significance = 1 - 0.90 = 0.10
At ∝ = 0.10
[tex]Z_{\alpha/2}= Z_{0.10/2} = 1.645[/tex]
Since the proportion of people that supported him/her is not given, we assumed p = 0.50
The margin of error formula can be expressed as:
[tex]M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]0.10 = 1.645 \times \sqrt{{\dfrac{0.5(1-0.5)}{n}[/tex]
Squaring both sides; we have:
[tex]0.10^2 = 1.645^2 \times {\dfrac{0.5(1-0.5)}{n}[/tex]
[tex]0.01 = 2.706025 \times \dfrac{0.25}{n}[/tex]
[tex]n= 2.706025 \times \dfrac{0.25}{0.01 }[/tex]
n = 67.65
Therefore, the required sample size = 67.65
y = 4x
y = 5x + 5
How many solutions does the given system of equations have?
A water faucet runs at a rate of 4/5 gallon per 1/5 minute. What is the unit rate of the faucet?
Answer:
k
Explanation:
What temperature (in Fahrenheit) does water freeze?
Answer:
32°F
Explanation:
pine......mine........coal..........COHDEN
Cohden = Mahomes
Pine = Beckham Jr.
Coal = Lock
Mine = Forgoten no respect
What chemicals are the sun made of?
Answer:
what chemicals are the sun made of
Like any star in its prime, the sun consists mainly of hydrogen atoms fusing two by two into helium, unleashing immense energy in the process. But it's the sun's tiny concentration of heavier elements, which astronomers call metals, that controls its fate.
Explanation:
If the probability of her losing any
drawing competition is 0.7, find the probability of her winning
a) at least one competition.
b) exactly two competitions.
Answer:
In the first case, you have three entries out of 50, so your chance of winning assuming all drawings have equal chance of being picked is
In the first case, you have three entries out of 50, so your chance of winning assuming all drawings have equal chance of being picked is350=0.06.
In the first case, you have three entries out of 50, so your chance of winning assuming all drawings have equal chance of being picked is350=0.06.If you enter 3 contests 1 time, and I assume each contest is the same, then your chance of winning at least one of them is the complement to losing all of them. This probability is given by
In the first case, you have three entries out of 50, so your chance of winning assuming all drawings have equal chance of being picked is350=0.06.If you enter 3 contests 1 time, and I assume each contest is the same, then your chance of winning at least one of them is the complement to losing all of them. This probability is given by1−(4950)3=7351125000≈0.058808.
In the first case, you have three entries out of 50, so your chance of winning assuming all drawings have equal chance of being picked is350=0.06.If you enter 3 contests 1 time, and I assume each contest is the same, then your chance of winning at least one of them is the complement to losing all of them. This probability is given by1−(4950)3=7351125000≈0.058808.So it seems you have a slightly better chance of winning at least once if put all three of your bets in one contest.
Who killed king von? if yall know yall brainliest
Answer:
Timothy Leeks (this is my spare)
Explanation:
At the county fair, the operator of a game guesses a contestant’s weight. For each pound the operator’s guess differs from the contestant’s weight, the contestant will receive $ 3 $3dollar sign, 3. A contestant weighing x xx pounds received $ 15 $15dollar sign, 15 when the operator guessed 120 120120 pounds. Which of the following equations could be used to solve for the weight of the contestant?
Answer:
its 3{x-120}=15
Explanation:
got it from khan academy
What is the least
possible value of n?
-100
-20
20
100
Answer:
-100
Explanation:
I hope this helps :)
What does pharmacist do?
A. Dispense medication
B. Develop new medications
C. Test the safety of medications
D. Prescribe medications
Answer:
A
Explanation:
They give out the medicine, I mean it's kind of obvious if you have ever been sick. Sorry.
Answer:
The answer is A!
Explanation:
Hope this helps! :)
Select the correct answer. A photographer specializes in food photography for advertising. He is part of which career pathway?
A. Merchandising
B. Marketing
C. Marketing communications
D. Production
Answer:
What he said
Explanation:
where did meditation originate
Answer:
Meditation is an ancient practice that is believed to originate in India several thousand years BCE. Throughout early history, the practice was adopted by neighboring countries quickly and formed a part of many religions throughout the world.
Explanation:
