Given:
Outer diameter = D = 80 ftInner diameter = d = 40 ftSo,
Outer radius = R = D/2
=> R = (80 ft)/2
=> R = 40 ft
Inner radius = r = d/2
=> r = (40 ft)/2
=> r = 20 ft
Area of paved pathway = πR² - πr²
= π(R² - r²)
= π(R + r)(R - r)
= π(40 + 20)(40 - 20) ft²
= π(60)(20) ft²
= 3.14 * 1200 ft²
= 3768 ft²
What is the value of the expression: 3y + 6 divided by 2x, if y = 4 and x = 3? *
Answer:
3
Step-by-step explanation:
[tex]\frac{3y+6}{2x} \\\\\frac{3(4)+6}{2(3)} \\\\\frac{12+6}{6} =\frac{18}{6} \\\\3[/tex]
please help asap!! i’ll give brainlist if right.
Answer:
dogs = 2
cats = 80
Step-by-step explanation:
Here I will assume that cats and dogs are proportional
c = y d, if you substitue, you get
10 = y 4, which rearranged, becomes
y = 10/4 = 2.5
now that we know y, we can work out x and y, the missing dogs and cats
4 = 2.5 d
here, dogs = 2
c = 2.5 * 32
2.5 * 32 = 80
here, cats = 80
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $8 and each adult ticket sells for $10.50. The auditorium can hold a maximum of 105 people. The drama club must make at least $990 from ticket sales to cover the show's costs. If 65 adult tickets were sold, determine the minimum number of student tickets that the drama club must sell in order to meet the show's expenses.
Answer:
You need to sell 39 Student tickets minimum to be able to cover the cost over all.
Step-by-step explanation:
If they sell 65 adult tickets, then you have to do 65 x 10.50 = $682.5
with that in mind you will take 308 + 682.5 because that equals 990.5 that would be the minimum amount but you would need to to take 39 x 8 to get 312 because 38 x 8 is 304 so that isn't enough.
HELP
What is the equation of the line that passes through the point (1,0) and has a slope
of 1?
Answer:
y = x - 1
Step-by-step explanation:
Put it in point-slope form:
y - 0 = 1(x - 1)
y = x - 1
a woodworker makes wooden checkerboards. identify any zeros of the function, and interpret what the zeros mean in terms of the situation
I have attached an image showing the graph of the function.
Answer:
Zeros are x = $15 and x = $70 and they are the prices at which the woodworker will neither loss nor gain money.
Step-by-step explanation:
First of all, the zeros of a function f(x) are defined as the values of x where f(x) = 0. That is the points where the graph curve touches the x-axis.
Now, from the attached graph, when we locate the point that the curve touches the x-axis, it's at x = 15 and at x = 70.
This means that f(x) = 0 at x = 15 and at x = 70.
Now, from the graph; f(x) is the profit function. So when f(x) = 0, it means there is zero profit which implies no gain and no loss.
Thus, we can conclude that the prices at which the woodworker will neither loss nor gain money is when the price is; x = $15 and x = $70
Evaluate: 3000−3.5m when m = 100
Answer:
2650
Step-by-step explanation:
Ok so,
3000-(3.5(100))
3.5 multiplied by 100 is 350, (move the decimal place 2 times to the right)
so it would be:
3000-350
Simply subtract.
3000-350= 2650
Answer: 2650
Cheers! I hope you can understand it well.
What is the volume of the composite figure? Use 3.14 for π and round the answer to the nearest tenth of a cubic unit.
Answer:
V=1582.56 cubic cm
Step-by-step explanation:
Which angles are complementary to 1? Select all that apply.
Answer:
angle 6 and angle 3
Step-by-step explanation:
angle 1 and angle 6 add up to 90 degrees
angle 6 is vertical to angle 3, so 1 is complementary to 3 as well
Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be with 16 white squares?
Answer:
20 gray squares
Step-by-step explanation:
Given
See attachment for squares
Required
Number of gray squares when white = 16
First, we calculate the equation that represents both squares.
The white squares
[tex]a = 2[/tex] --- initial
[tex]d = 4 - 2 = 6 - 4[/tex]
[tex]d = 2[/tex] -- difference between successive gray squares
So, the nth term is:
[tex]W_n = a + (n - 1)d[/tex]
[tex]W_n = 2 + (n - 1)*2[/tex]
[tex]W_n = 2 + 2n - 2[/tex]
[tex]W_n = 2n[/tex]
The gray squares
[tex]a = 6[/tex] --- initial
[tex]d = 8-6=10-8[/tex]
[tex]d = 2[/tex] -- difference between successive gray squares
So, the nth term is:
[tex]G_n = a + (n - 1)d[/tex]
[tex]G_n = 6 + (n - 1) *2[/tex]
[tex]G_n = 6 + 2n - 2[/tex]
[tex]G_n = 4 + 2n[/tex]
When the white squares is 16
[tex]W_n = 16[/tex] --- Calculate n
[tex]W_n = 2n[/tex]
[tex]16 = 2n[/tex]
[tex]8 = n[/tex]
[tex]n = 8[/tex]
To get the number of gray squares;
Substitute [tex]n = 8[/tex] in [tex]G_n = 4 + 2n[/tex]
[tex]G_n = 4 + 2 * 8[/tex]
[tex]G_n = 20[/tex]
7/8 – m = 2/3
What is the value of m?
correct=brainliest
Answer: the answer is 5/24
Step-by-step explanation:
If you do 7/8 - 2/3 you get 5/24 and to check your work, do 7/8 - 5/24 and you get 2/3
Hope this helps ^^
Which three angle measures can be used to make AABC?
A)
28°
B)
29°
C)
58°
D)
89°
E)
94°
Hailey solves the equation shown.
1/4(2 – x) = 5+ 3x
In which step does Hailey make her first error?
Step 1: 1/2 - x = 5+ 3x
Step 2: 1/2 = 5 + 4x
Step 3: – 9/2 = 4x
Step 4: -9/8=x
Find the measures of angles 1,2,3,5,6,7, and 8.
Answer:
1DK
Step-by-step explanation:
Help please . Thank you !!
Answer:
A=25m
Step-by-step explanation:
Jackie had a puzzle book that contains a total of 70 puzzles she has completed 2/5 of the puzzles in the book if Jackie completes 18 more puzzles what is the total number of puzzles that she will have completed in the book
Answer: 46 puzzles
Step-by-step explanation:
There are 70 puzzles in total in the book.
Jackie has completed / of those puzzles. In whole numbers that is:
= 2 /5 * 70
= 28 puzzles
She then completes 18 more puzzles.
Total that she has completed is:
= 28 + 18
= 46 puzzles
I need help finding the slope
Answer:
oh, well, sorry
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Slope is rise over run.
Don abel tiene una malla de 100m de longitud para hacer un cerco . Y quiere hacer in corralon de forma rectangular no sabe todavia de que fimensiones hacerlo pues quiere que sus cuyes tenhsn el mayor terrebno posible ¿ de que medidas se puede construir el corral rectangular usanfo los 100m de malla ?
Answer:
Don Abel debe construir un cuadrado con lados de 25 metros de longitud.
Step-by-step explanation:
Geométricamente hablando, el área y el perímetro del rectángulo rodeado por el cerco son representadas por las siguientes fórmulas:
[tex]A = w\cdot l[/tex] (1)
[tex]p = 2\cdot (w+l)[/tex] (2)
Donde:
[tex]A[/tex] - Área, en metros cuadrados.
[tex]p[/tex] - Perímetro, en metros.
[tex]w[/tex] - Ancho, en metros.
[tex]l[/tex] - Longitud, en metros.
Puesto que el área a cercar debe ser la máxima posible y la longitud disponible de malla es de 100 metros, cabe despejar el ancho en (2):
[tex]w = \frac{p}{2}-l[/tex]
Ahora, aplicamos esta expresión en (1) y expandimos la expresión resultante:
[tex]A = \left(\frac{p}{2}-l\right) \cdot l[/tex]
[tex]A = \frac{p\cdot l}{2} -l^{2}[/tex] (3)
A continuación, obtenemos la primera y segunda derivada de (3):
[tex]A' = \frac{p}{2}-2\cdot l[/tex] (4)
[tex]A'' = -2[/tex] (5)
Igualando (4) a cero, tenemos que el valor crítico de la longitud del rectángulo es:
[tex]\frac{p}{2}-2\cdot l = 0[/tex]
[tex]2\cdot l = \frac{p}{2}[/tex]
[tex]l = \frac{p}{4}[/tex]
Por (5), sabemos que ese valor crítico está asociado al área máxima.
Si sabemos que [tex]p = 100\,m[/tex], entonces la longitud del rectángulo es:
[tex]l = 25\,m[/tex]
Ahora, tenemos el ancho de la figura por (2):
[tex]w = \frac{p}{2}-l[/tex]
[tex]w = 25\,m[/tex]
En consecuencia, don Abel debe construir un cuadrado con lados de 25 metros de longitud.
What are the values of x and y? I REALLY NEED Y , I HAVE X. I will mark you brainliest if you give me y and its correct!
Answer:
72.5°
Step-by-step explanation:
180° - 35° = 2y°
145° = 2y
145/2 = 50+22+0.5 = 72.5
Anyone knows geometry???
The answer choices are
A: 2 and 8
B: 1 and 4
C: 6 and 7
D: 5 and 8
Answer:
Option: A
Step-by-step explanation:
Hope it helps you!
$140 spent on a 90-minute taxi ride
PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!
Estelle bought 3 pineapples to cut up and serve on a fruit platter. The pineapples each cost the
same amount, and they cost less than $12 in all.
Let x represent how much each pineapple cost. Which inequality describes the problem?
3x > 12
3x < 12
Solve the inequality. Then, complete the sentence to describe the solution.
Each pineapple cost less than $
Answer:
Eh cafe donete mal reo jama kolotake? 24 eh moi -09....? kelare mei osaje.
Step-by-step explanation:
The inequality that describes the solution is 3x < 12.
The cost of each pineapple is less than $4.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Number of pineapples = 3
Cost of each pineapple = x
Now,
The cost of all the 3 pineapples = less than $12.
The cost of 3 pineapples.
3x < 12
x < 12/3
x < 4
Thus,
The inequality is 3x < 12.
The cost of each pineapple is less than $4.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
Ok so my mom is verbally abusive towards me and makes me cry almost everyday. I really want to run away but I have cameras all sides and some inside and a tracker on my phone that can read texts and show my precise location. I can’t go out of the window because my room has a sensor and I don’t have a roof slope like most of y’all do. I could go out of the kitchen window but one of the backyard cameras will see me jump the fence and leave. what do you think i should do? And what to pack because if I run away today I need to know what to pack and advice.
Answer: I think if you run away you should get closes and a lot of food go somewhere were she won't find you
Step-by-step explanation:
Your stock is worth $50 in 2010. Each year the value increased by 5%. Write a function to
model this situation. Use y to represent the value of the stock and x to represent the number of years since 2010
Answer:
It adds by +5
Step-by-step explanation:
Can someone pls pls help me with the middle one im struggling :( TYSM IF U DO!
Answer:
900 people
Step-by-step explanation:
540 / 60 = 9
10% = 9
9 x 100 = 900 people
Hope that helps!
CAN SOMEONE PLEASE HELP ME
If 4 × 5 = 20, then 20 ÷ 4 equals what number?
Answer:
20 ÷ 4 = 5
(Brainliest please! :D)
Answer:
5
Step-by-step explanation:
5
5
5
5
See how I put five 4 times? Multiply 5 by 4 and you get 20. 20 divided by 4 equals 5. Just like how 20 divided by 5 equals 4. You just flip it.
This silo in Vermont is topped with a hemisphere (half of a sphere) dome. If the radius of the hemisphere is 12 feet, then the volume of the hemisphere is ___ cubic feet.
Answer:
3617 cubic feet
Step-by-step explanation:
V = 2/3 * π * r³
V= 2/3 * 3.14* 12(cubed)
V=2/3 * 5426
V= 2 * 5426 ÷ 3
V= 3617 Cubic feet
Find the perimeter of Angle ABC with vertices A(-5,4), B(4, -5). and C(-5, -5). Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
please help it’s the last question
Answer:
[tex]y=[/tex] [tex]-\frac{5}{6}x - 1[/tex] is the answer
Step-by-step explanation:
Equation of the line: y = 6/5x + 1
= 5y = 6x + 5
= 6x - 5y + 5
Equation of the perpendicular line: bx - ay + k = 0
= -5x -6y + k = 0
Equation passes through (6,-6),
-5(6) -6(-6) + k = 0
-30 + 36 + k = 0
6 + k = 0
k = -6
Substituting,
-5x -6y + k = 0
-5x -6y -6 = 0
-6y = 5x + 6
[tex]y=[/tex] [tex]-\frac{5}{6}x - 1[/tex] (Slope-Intercept form)