The area of a rectangular pool is (x + 17x + 72) square meters. The dimensions of the pool are the factors of this polynomial. There is a 3-meter-wide concrete walkway around the pool. Write expressions to represent the dimensions of the outside border of the walkway. (Lesson 21.1)
Answer:
The walkway around the pool makes the entire outer dimensions (outer border)
x+9+2x3=x+15 and x+8+2x3
hope this helps! could i get brainliest plz?
The expressions to represent the dimensions of the outside border of the walkway is (x + 12) meters for the length and (x + 11) meters for the width.
Given area : [tex]x^2 + 17x + 72[/tex]
The factored form of the polynomial is:
[tex]x^2 + 17x + 72[/tex] = [tex]x^2 + 8x+9x+72[/tex]
= x(x+8)+9(x + 8)
=(x + 9)(x + 8)
So, the dimensions of the pool are (x + 9) meters and (x + 8) meters.
The length of the walkway = 3 meters wide
So, the length is added to each side of the pool.
Dimensions of the outside border of the walkway:
Length: (x + 9) + 3 = x + 12 meters
Width: (x + 8) + 3 = x + 11 meters
Therefore, the dimensions of the outside border of the walkway are
(x + 12) meters for the length and (x + 11) meters for the width.
Learn more about polynomials here:
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4Please help!! Geometry, will mark brainliest!
you rode a bicyde for 2 hours and travelled 43 km, calculate your average
speed.
Answer:
22.5km per hour
Step-by-step explanation:
solve attached problem
Answer:
what is the dot for?
Step-by-step explanation:
Please help me solve :(((
Answer:
θ ≈ 15°
Step-by-step explanation:
Using the sine rule in the triangle
note 7.56 × 10² = 756 and 2.4 × 10³ = 2400 , then
[tex]\frac{756}{sin0}[/tex] = [tex]\frac{2400}{sin125}[/tex] ( cross- multiply )
2400 × sinθ = 756 × sin125° ( divide both sides by 2400 )
sinθ = [tex]\frac{756sin125}{2400}[/tex] , then
θ = [tex]sin^{-1}[/tex] ( [tex]\frac{756sin125}{2400}[/tex] ) ≈ 15° ( to the nearest degree )
Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please
Answer:
SQ
Step-by-step explanation:
NL:SQ = MN:SR = ML:RQ (corr.side, similar triangles)
The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the dimensions of the rectangle.
What is the inverse (opposite) operation that you will use to solve this equation for c+3=4 and the answer.
Answer:
1
Step-by-step explanation:
As we know that addition and subtraction are inverse operations, as are multiplication and division.
The given equation is c+3=4
To solve such equations we isolate the unknown( to keep it either to the left or right of = sign) as c = 4-3
This is also called transposing and the sign of the transposed value changes.
Hence, c = 4-3 = 1
Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location near Ames city limits. Experts believed that approximately 15% of the surrounding population would be interested in becoming season ticket holders. A random sample of 500 residents of Story County was collected (of the approximately 80,000 residents of Story County). Of the 500 people sampled, 124 said that they would be interested in purchasing season tickets to a Six Flags in Ames. Select the best description of the sample.
Answer:
Random sample of 500 residents of Story County
Step-by-step explanation:
SAMPLE can be defined as the process in which some group of people are randomly selected from a large population for the sole aim of carrying out statistical analysis that will represent the whole population at large instead of carryingout the SAMPLE on each person.
Therefore based on the information given the best description of the SAMPLE will be the 500 RESIDENT OF STORY COUNTY reason been that we were told that a random SAMPLE of the 500 residents of Story County were collected which in turn represent 80,000 of the residents of Story County at large.
My father invests $5000 in a new bank that has an annual
interest rate of 3.8%. Find the balance
after 10 years if it is compounded yearly. Round your answer to
the nearest whole dollar.
$
A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit
Answer:
He is making 20 naira profit for every 4 cups that he sells for 100 naira
Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira
Alex, x, saved 30 dollars and Ethan saved 1
3
more than that.
Ethan saved _______________ dollars
People use water to cook, clean, and drink every day. An estimate of 33.9% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking, how many gallons do they use every day?
Answer:
23 gallons of water
Step-by-step explanation:
People use water to cook, clean, and drink every day. An estimate of 33.9% of the water used each day is for cooking. If a family uses 67.8 gallons of water a day for cooking, how many gallons do they use every day?
This is calculated as:
33.9 % × 67.8 gallons of water
= 0.339 × 67.8 gallons of water
= 22.9842 gallons of water
Approximately = 23 gallons of water
Therefore, 23 gallons of water are used everyday for cooking
A circular garden is 20 feet across; a gardener wants to cover it with sod. If each sod piece is two square feet, how much sod will be needed?
Answer:
750
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing length and then round the result to the nearest tenth a=? b = 5, c = 12 what is A
Answer:
Approximately 10.9
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
Plug in b (5) and c (12)
[tex]a^2+5^2=12^2\\a^2+25=144[/tex]
Subtract 25 from both sides
[tex]a^2+25-25=144-25\\a^2=119[/tex]
Take the square root of both sides
[tex]\sqrt{a^2} =\sqrt{119}[/tex]
a = approximately 10.9
I hope this helps!
helllllllpppppppppp!!!!!!!!
Answer:
i dont know
Step-by-step explanation:
.
In the data set {(7,7);(3,10);(5,9);(2,12);(0,1);(6,4);(4,10);(8,6)}, which point is a possible outlier?
(6,4)
(7,7)
(2,12)
(0,1)
The possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison.
How to determine the possible outlier
In this data set, we observe that data set observes the rule that first component increases inasmuch the second component of the ordered pairs decreases. Thus, the possible outlier may be [tex](0,1)[/tex] as the second component is not greater than second components of the remaining pairs in comparison. [tex]\blacksquare[/tex]
To learn more on ordered pairs, we kindly invite to check this verified question: https://brainly.com/question/11740961
Need Help ASAP! Use pie as 3.14.Please solve thoroughly please and thank you!
No need to use pi for this problem! So we're finding the area of a trapezoid. It's made up of: a square with length and width 2, and two triangles with a base 2 and height 2.
Area of a triangle formula is [tex]A = \frac{1}{2} B\cdot h[/tex]
[tex]A = \frac{1}{2}\cdot2\cdot 2[/tex]
[tex]A = \frac{1}{2}\cdot 4[/tex]
[tex]A = 2[/tex] units^2
And since the two triangles are the same, the other triangle has the same area: 2 units^2
For the square we can use [tex]A = l\cdot w[/tex]
[tex]A = 2 \cdot 2[/tex]
[tex]A = 4[/tex]
Combine the areas: the total area is 2 + 2 + 4 , = 8 units^2
Answer:
8 units²
Step-by-step explanation:
In order to find the area of this trapezoid, you can apply the formula for the area of a trapezoid: ([tex]b_{1}[/tex] + [tex]b_{2}[/tex]) × h/2
In the equation, you already know base one (2) and the height (2), but base two isn't given. To find the length of the whole base, you need the length of the other side of the square: You can tell that it is two because the two given sides of the square are 2.
Since you now know that the length of the missing side of the base is 2, you can add the three values given to get the base length:
2 + 2 + 2 = 6
Now, you have all the information needed to find the area of the trapezoid. Input them all into the equation:
([tex]b_{1}[/tex] + [tex]b_{2}[/tex])*h/2 where [tex]b_{1}[/tex] is 2, [tex]b_{2}[/tex] is 6, and h is 2,
(2 + 6) × 2/2
= 8 × 1
= 8 units²
please help________^
Answer:
first answer
Step-by-step explanation:
What are the dimensions of the simple shapes you obtained in part C? List dimensions for all your decompositions (sets of shapes).
Answer:
Option 1
Figure Length (feet) Width (feet)
small rectangle 14 6
large rectangle 20 7
Figure Base (feet) Height (feet)
triangle 6 6
Option 2
Figure Length (feet) Width (feet)
small rectangle 6 7
large rectangle 14 13
Figure Base (feet) Height (feet)
triangle 6 6
Step-by-step explanation:
Answer:
The volume of a rectangular prism whose dimensions are l, w, and h is
V = l × w × h.
Option 1:
The length (l), width (w), and height (h) of the first prism are inches, 26 inches, and inches, respectively, so the volume of the first prism (V1) is
Step-by-step explanation:
Dos hermanos reciclaron la misma cantidad de kilos de papel que de envases de carton. Se pagan 183 por cada kilo de papel y 356 por cada kilo de carton y con lo que juntaron lograron ganar 3763.
Respuesta:
183x + 356y = 3763
Explicación paso a paso:
Dejar :
Número de kilos de papel = x; número de kilos de cartón = y
Kilo de papel = 183; kilo de cartón = 356
Cantidad total ganada = 3763
(Costo por kilo de papel * número de kilos de papel) + (costo de kilos de cartón * número de kilos de cartón)
(183 * x) + (356 * y) = 3763
183x + 356y = 3763
an uber charges a flat fee of $15 then charges $4 per mile write an equation for the total cost of ur ride? identify the m, b, & Equation
Answer:
Step-by-step explanation:
EL ARQUITECTO VALDIVIA DONÓ UN TERRENO, COMO EN DE LA SIGUIENTE FIGURA, PARA CONSTRUIR UN PARQUE.
EL COMITÉ DEL FRACCIONAMIENTO VA A CERRARLO Y EMPASTARLO ANTES DE INICIAR EL DISEÑO DE LOS
PLANOS.
Answer:
THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.
THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.
Step-by-step explanation:
This is what it says in english
m- 0.3 > 1.45
Answer?
Answer:
[tex]m > 1.75[/tex]
Step-by-step explanation:
1) Add 0.3 to both sides.
[tex]m > 1.45 + 0.3[/tex]
2) Simplify 1.45 + 0.3 to 1.75.
[tex]m > 1.75[/tex]
Therefor, the answer is m > 1.75.
I NEED HELP PLEASE A rectangle has a length of 3x+5 and a total area is + 11x +10 find the width of the rectangle.
Answer:
3.667+ 2
Step-by-step explanation:
Area of a rectangle = length x width
11x + 10 = (3x +5) x width
to determine the width, divide both sides of the equation by 3x + 5
(11x + 10) / (3x + 5) = width
width = 3.667 + 2
pls help! right answer = gets brainiest
Answer:
2,4 because they are hitting each other at that point
Answer:
D
Step-by-step explanation:
The solution is where the the red and blue line intersect.
help meeeeeeeeee T^T
Answer:
C) 120
Step-by-step explanation:
Use three times five and minus one times
you will get 12 and multiply by 10
55 x 32 / 32
HELPPP GIVING BRAINLIEST
Answer:
55
Step-by-step explanation:
Just multiply then divide:
55 x 32 = 1760
1760 ÷ 32 = 55
Or just easier like:
55 x 32 ÷ 32 = 55
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
A circle has a diameter of 32 units. What is the area of the circle to the nearest hundredth of a square
Answer:
804.25 units²
Step-by-step explanation:
radius = diameter / 2
Area of a circle = πr²
radius = 32/2 = 16 cm
Area = (16)²π
Area = 256π = 804.247719
Area ≈ 804.25 units²
Solve for ppp. -5\left(p+\dfrac35\right) = -4−5(p+ 5 3 )=−4minus, 5, left parenthesis, p, plus, start fraction, 3, divided by, 5, end fraction, right parenthesis, equals, minus, 4
Answer:
p = 1
Step-by-step explanation:
4 - 5(p + 3/5) = -4
Find P
4 - 5(p + 3/5) = -4
4 - 5p -15/5 = -4
4 - 5p - 3 = -4
-5p + 1 = -4
-5p = -4 - 1
-5p = -5
p = -5/-5
p = 1
Check:
4 - 5(p + 3/5) = -4
4 - 5(1 + 3/5) = -4
4 - 5 - 15/5 = -4
4 - 5 - 3 = -4
4 - 8 = -4
-4 = -4
Answer:
ITS HELLA 1/5 NOT 1
Step-by-step explanation:
>:(