Answer:
Step-by-step explanation:
Part C: (Explanation with steps)
Let the length of the swimming pool = l feet
And width of the pool = w feet
Perimeter of the pool = 2(l + w) feet
Since, perimeter of the pool = 8 feet
2(l + w) = 80
l + w = 40
l = (80 - w) -------(1)
Area of the pool = Length × width
A(w) = l × w
By substituting the value of l from equation (1)
A(w) = (80 - w) × w
A(w) = 80w - w²
To find the maximum area of the pool we will find the derivative of the function with respect to 'w' and equate it to zero.
A'(w) = 80 - 2w
(80 - 2w) = 0
w = [tex]\frac{80}{2}[/tex]
w = 40 feet
Therefore, for width (w) = 40 feet area of the pool will be maximum.
From equation (1),
l = 80 - 40
l = 40 feet
Therefore, maximum area of the pool = l × w
= 40 × 40
= 1600 square feet
Part A:
Function representing area of the pool,
A(w) = -w² + 80w
Part B:
Maximum area of the surface of the pool = 1600 square feet
What is the solution to the equation -5p = 24-p?
Op= -6
O p= - 27
Op
O p= 4
O p=
24
25
Answer:
p = -6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
-5p = 24 - p
Step 2: Solve for p
[Addition Property of Equality] Add p on both sides: -4p = 24[Division Property of Equality] Divide -4 on both sides: p = -6howdy!!
yr answer is A. -6!!!!
goodluck!!! <33
The area of a rectangular fountain is (x^2+ 13x + 22) ft. The width is (x + 2) ft.
a. Find the length of the fountain.
ONLY GIVING BRAINLEST IF YOU ANWSER QUICKLY AND CORRECTLY!
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?
A square with a side length of 8 units is shown. A diagonal is drawn with one section shaded inside the figure.
(5 points)
a
fraction 1 over 2 ⋅ 4 ⋅ 4
b
fraction 1 over 4 ⋅ 4 ⋅ 4
c
fraction 1 over 2 ⋅ 8 ⋅ 8
d
fraction 1 over 4 ⋅ 8 ⋅ 8
Answer C fraction 1 over 2 ⋅ 8 ⋅ 8
Geometry end of year review escape room: room A
Convert to percentages. List answers starting from the top. *
41%
1.836
6/50
Answer:
41% is already in percentage form.
1.836 is 183.6 %
6/50 is 12%.
Step-by-step explanation:
41% is already in percentage form, so I'm just going to leave that as it is.
1.836 has 1 whole already, so we know it's going to be more than 100%. Than we have that extra 83.6, so that would be 183.6% as a decimal.
6/50, well we divide to get 0.12, and 0.12 as a percent is 12%.
Please mark branliest, thanks!
help me please really need it
Answer:
it's just a sussy baka and it cannot be that bad im feeling like imposter i might just be a monster
Step-by-step explanation:
Amongus in real life
sus caught in 4k camera
What metric unit would you use to measure
the length of your math textbook?
__________________________________
Choose the correct answer below.
A. Millimeters
B. Centimeters
C. Kilometers
B. Meters
▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄
ᵗᵒᶠᵘ ˡᵒᵍᵍᶦⁿᵍ ᵒⁿ…
⊹˚ʚ ❑Answer: B.centimeters!
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
ᵗᵒᶠᵘ ˡᵒᵍᵍⁱⁿᵍ ᵒᶠᶠ...
▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄
Answer:
b
Step-by-step explanation:
The measurement instrument needed to measure this is your ruler and it is calibrated in centimeters
what type of translation is this ( x , y ) → ( y , - x )
How important is career success to you
Answer:
By having a career goal, you can start to manage your career. You can assess where you are so you know when the time is right to make your next move. That means you can ensure you're ready for change by planning what training and skills you need as well as taking time to develop your profile.
Answer:
By having a career goal, you can start to manage your career. You can assess where you are so you know when the time is right to make your next move. That means you can ensure you're ready for change by planning what training and skills you need as well as taking time to develop your profile
Plaese help i was stuck on it for a while
Answer:
10
Step-by-step explanation:
30x2=60
60/6=10=
b=10
What do you do to find the power of a power?
A.
Add the exponents.
B.
Subtract the exponents.
C.
Divide the exponents.
D.
Multiply the exponents.
Answer:
C.
Step-by-step explanation:
Calculate it in the way of Divide
I need an essay about the American dream
I can get you a little bit :P
Most people, if not all in the US always want to live the American dream at some point in their lives. But the question is, what is the meaning of the American dream, and how can people achieve this vague and elusive realisation? The American dream is a national philosophy or a belief that specifies the ideal factors such as democracy, freedom, rights and equality that accords every citizen equal opportunity to prosper and achieve their set goals (Glenn, 2002). The foundation of the American dream is deeply rooted in the declaration of independence that assert that “all men are created equal”. In simple terms, the American dream eliminates the artificial barriers to prosperity and promotes upward social mobility for every individual in the US depending on their hard work irrespective of their, social, religious, historical and racial background. The American dream is a slogan that is selling across the globe and up to date we see millions of people crossing the American borders as immigrants in search of this dream that cannot otherwise be achieved in their homelands. The American dream is a reality as we see it through how different people in the US have developed and better their own ingenuity and achieve their goals through their best efforts. Making this dream a reality is not a straight path as it is all about overcoming the challenges which at the end of the day differentiates a resilient individual from the rest.
With the help of a conservation program, the number of
lions in a wildlife preserve increased from 25 to 40 over a short period of
time. What is the percentage increase in the number of lions? Round your
answer to the nearest tenth of a percent.
A) 15.0%
B) 37.5%
C) 60,0%
D) 62.5%
Answer:
b
Step-by-step explanation:
no clue just copied someone else tehehe
Find m∠ABD and m∠CBD given m∠ABC = 111∘.
Answer:
m∠ABD = 88º
m∠CBD = 23º
Step-by-step explanation:
(-10x + 58) + (6x + 41) = 111
Combine like terms
-4x + 99 = 111
Subtract 99 from both sides
-4x = 12
Divide both sides by -4
x = -3
------------------------
m∠ABD = -10x + 58
m∠ABD = -10(-3) + 58
m∠ABD = = 30 + 58
m∠ABD = 88º
m∠CBD = 6x + 41
m∠CBD = 6(-3) + 41
m∠CBD = -18 + 41
m∠CBD = 23º
Answer:
88, 23
Step-by-step explanation:
<ABD + <DBC = <ABC
(-10x + 58) + (6x + 41) = 111
-10x + 58 + 6x + 41 = 111
99 - 4x = 111
-4x = 111-99
-4x = 12
x = 12/-4
x = -3
m∠ABD = -10x + 58
m∠ABD = -10(-3) + 58
m∠ABD = = 30 + 58
m∠ABD = 88º
<DBC = 6x + 41 = 6*-3 + 41 = -18 + 41 = 23
Hope it helps u
Please mark as brainliest
) Factorise
a2 + ab + a
Answer
Answer:
Step-by-step explanation:
a^2+ab+a
a(a+b+1)
Answer:
a(a+b+1). was this helpful
What is 6574893 + 7?????
Answer:
6574900
Step-by-step explanation:
Answer:
6,574,900
Step-by-step explanation:
have a good day
Segment AB and AC are tangent to circle C find the value of X in the length of BC
9514 1404 393
Answer:
BC = 6
Step-by-step explanation:
Tangents from the same point are congruent, so ...
2x = x+3
x = 3 . . . . . . . subtract x
BC = x+3 = 3+3 = 6 . . . . . . substitute for x
The length of BC is 6.
help finding the area
Answer:
Length x width
Step-by-step explanation:
Multiply
Answer:
148.5 units^2
Step-by-step explanation:
First, find the area of the entire rectangle. The area is 180 because we have to multiply 15*12.
Next, find the area of the triangle. The area is 31.5 because we have to figure out 1/2(7*9)
Finally, you subtract 31.5 from 180.
how many linear measurements do cylinders have
A. 4 B. 3 C. 1 D. 2
Answer:
B. is the answer three(3)
Help me please I’m really struggling
Answer:
Step-by-step explanation:
Need Answer FAST NO LINKS!!!! please help
mark brainllest to whoever gets it right
Jesse needs 10 1/4 feet of chain to complete an outdoor project. He has two small pieces each measuring 2 1/8 feet and a third piece measuring 3 3/4 feet. How many feet of chain does Jesse need to purchase?
Answer:
= 2 1/4 feet
Step-by-step explanation:
Length of chain Jesse needs = 10 1/4 feet
Length of chain Jesse has:
Two small pieces each measuring 2 1/8 feet
= 2 × 2 1/8 feet
= 2 × 17/8
= 34/8 feet
Third piece measuring 3 3/4 feet
Total Length of chain Jesse has = 34/8 feet + 3 3/4 feet
= 34/8 + 15/4
= 34+30/8
= 64/8
= 8 feet
Total Length of chain Jesse has = 8 feet
Length of chain Jesse needs to purchase = Length of chain Jesse needs - Total Length of chain Jesse has
= 10 1/4 feet - 8 feet
= 2 1/4 feet
Length of chain Jesse needs to purchase = 2 1/4 feet
I picked C by mistake
4x=3y+23
4y+3x=-19
solve by substitution. No files pls
Answer:
x = ⁷/₅
y = ⁻²⁹/₅
Step-by-step explanation:
4x = 3y + 23 (×3)
12x = 9y + 69
4y + 3x = -19
3x = -4y - 19 (×4)
12x = -16y - 76
∴ 9y + 69 = -16y - 76
25y = -145
y = ⁻²⁹/₅
12x = 9(⁻²⁹/₅) + 69
12x = 69 - ²⁶¹/₅
12x = ⁸⁴/₅
x = ⁷/₅
Which pair of angles represent
Alternate Exterior Angles?
Please helpppp
Answer:
1 and 8, 4 and 5
Step-by-step explanation:
There are two pairs, 1 and 8, 4 and 5
The angles in each pair must be on opposite sides of the transversal k, and on the outsides of the parallel lines l and m.
3,0 and 4,l what is the y-intercept of the line
Answer:
Step-by-step explanation:
(3,0),(4,1) ⇒ (x₁,y₁),(x₂,y₂)
to find the equation of the line
y-y₁= {(y₂-y₁)/(x₂-x₁)}(x-x₁)
y-0= [(1-0)/(4-3)] (x-3)
y-0 = 1/1(x-3)
y-0 = x-3
y= x-3+0
y=x-3
compare to y=mx+c, where m is the gradient and c is the intercept on y-axis
m=1, c=-3
∴the y-intercept of the line is -3
In triangle HIJ, N is the centroid. If HK = 10, find KI.
Given:
In triangle HIJ, N is the centroid and [tex]HK=10[/tex].
To find:
The value of KI.
Solution:
In a triangle, the centroid of the triangle is the intersection of its medians.
Median of a triangle from a vertex divides the opposite side into two equal parts.
It is given that, N is the centroid. It means JK, HL and IM are the medians of the triangle HIJ.
Since JK is a median of the triangle HIJ, therefore it divides the opposite side IH into two equal parts.
[tex]KI=HK[/tex]
[tex]KI=10[/tex]
Therefore, the value of KI is 10 units.
The Royal Fruit Company produces two types of fruit drinks. The first type is pure fruit juice, and the second type is pure fruit juice. The company is attempting to produce a fruit drink that contains pure fruit juice. How many pints of each of the two existing types of drink must be used to make pints of a mixture that is pure fruit juice
Answer:
72 pints of the first type
18 pints of the second type
Step-by-step explanation:
See attachment for complete question
Given
[tex]x \to[/tex] first type
[tex]y \to[/tex] second type
Final volume = 90; So:
[tex]x + y = 90[/tex]
From the question, we understand that:
70% of x and 95% of y gives 75% of the fruit juice
This is represented as:
[tex]70\% * x + 95\% * y = 75\%* 90[/tex]
Make x the subject in [tex]x + y = 90[/tex]
[tex]x = 90 - y[/tex]
Substitute: [tex]x = 90 - y[/tex] in [tex]70\% * x + 95\% * y = 75\% * 90[/tex]
[tex]70\% * (90 - y) + 95\% * y = 75\% *90[/tex]
Express percentage as decimal
[tex]0.70 * (90 - y) + 0.95 * y = 0.75 * 90[/tex]
Open brackets
[tex]63 - 0.70y + 0.95y = 67.5[/tex]
Collect like terms
[tex]- 0.70y + 0.95y = 67.5 - 63[/tex]
[tex]0.25y = 4.5[/tex]
Divide both sides by 0.25
[tex]y = \frac{4.5}{0.25}[/tex]
[tex]y = 18[/tex]
Recall that: [tex]x = 90 - y[/tex]
[tex]x = 90 - 18[/tex]
[tex]x = 72[/tex]
You spin the spinner once.
6, 7, 8
What is P(odd)?
Write your answer as a fraction or whole number.
Answer:
1/3
Step-by-step explanation:
Does the spinner only have these 3 sections?
If so, the probability of spinning an odd number is 1/3. There are a total of 3 possibilities (denominator), and only 1 is odd (numerator).
The P(odd) is the probability of spinning an odd number that would be equal to 1/3.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
You spin the spinner once.
6, 7, 8
There are a total of 3 possibilities (denominator), and only 1 is odd (numerator).
So, the probability of spinning an odd number = 1/3.
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
Round 47.219 to the nearest tenth.
Answer:
47.2
Step-by-step explanation:
