The circumference of the circular swimming pool is given by C = 47.12 feet
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circumference of the circular swimming pool be C
Now , the diameter of the swimming pool D = 15 feet
So , the radius of the circular pool r = D / 2
The radius r = 7.5 feet
Now , circumference of circle = 2πr
So , on simplifying , we get
The circumference of the circular swimming pool C = 2π ( 7.5 )
The circumference of the circular swimming pool C = 15π
The circumference of the circular swimming pool C = 47.12 feet
Hence , the circumference of the circular swimming pool is 47.12 feet
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A pair of designer sneakers was purchased for $120. Since they were purchased, their price has increased by 15%. Write an equation that can help you find the new price. What is the new price?
Answer:
$138
Step-by-step explanation:
The price increased by $18
3) A product is marked down 15%; the sale price is $127.46. What was the
original price?
Answer:elling price (S.P) = (100 - m)% ⋅ Original price -----(1)
Here,
S.P = 127.46, m = 15
Substitute 127.46 for S.P and 15 for m in (1).
127.46 = (100 - 15)% ⋅ Original price
127.46 = 85% ⋅ Original price
127.46 = 0.85 ⋅ Original price
127.46 / 0.85 = Original price
149.95 = Original price
So, the original price is $ 149.95.
Step-by-step explanation:
The original price of product when the product is market down by 15% and the sales price is given so it is $149.95.
Calculation of price:Price is down by 15%, so m = 15% or 0.15.
So, Original price = [tex]\frac{Selling price}{( 1 - m)}[/tex]
By putting the value, we get
Original price = [tex]\frac{127.46}{(1 - 0.15)}[/tex]
= [tex]\frac{127.46}{0.85}[/tex]
= $149.95
Hence the original price of of the product was $149.95
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The point (5, 5) is in Quadrant.
The point (3, –2) is in Quadrant.
The point (–4, –4) is in Quadrant.
Answer:
A coordinate plane.
The point (5, 5) is in Quadrant
✔ I
.
The point (3, –2) is in Quadrant
✔ IV
.
The point (–4, –4) is in Quadrant
✔ III
.
Step-by-step explanation:
give me branliest pls
The point (5, 5) is in Quadrant I, the point (3, –2) is in Quadrant IV, and the point (–4, –4) is in Quadrant III.
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
The area using the ordered double:
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
As we know the coordinate plane is divided into four parts.
The first part is known as I quadrant; in this quadrant both values of x and y are positive.
In the second quadrant II value of x is negative and the value of y is positive.
In the third quadrant III values of x and y are negative.
In the fourth quadrant IV value of x is positive and the value of y is negative.
From the above information:
The point (5, 5) is in Quadrant I
The point (3, –2) is in Quadrant IV
The point (–4, –4) is in Quadrant III
Thus, the point (5, 5) is in Quadrant I, the point (3, –2) is in Quadrant IV, and the point (–4, –4) is in Quadrant III.
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Please help me out!! :c
Katie has f fish. Alejandro has 11 fish, which is 3 fewer than twice the number Katie has.
Which equation shows an equality between two different ways of expressing how many fish Alejandro has?
A. f + 3 = 11
B. f – 3 = 11
C. f/2 - 3 = 11
D. 2f – 3 = 11
Answer:
The answer would be D
Step-by-step explanation:
To find how many Katie has, you would have to double it ( times by 2 ). Then subtract 3, since Alejandro has three less than twice as many as Katie.
Answer:
the answer is d just did the test got it right
Step-by-step explanation:
1) 12/10-2/10 =
2) 18/6- 24/12=
3) 3/5 - 1/10=
4) 1/3 - 1/12=
Answer:
1: 1
2: 1
3:2/5
4:1/4
Round the following numbers to 1 decimal place.
a) 65.874
b) 326.59
c) 13.555
d) 7.959
Answer:
a)65.9
b)326.6
c)13.6
d)8.0
Answer:
a)65.9
b)326.6
c)13.6
d)8.0
52 degrees times x+56 time 78 degrees please help quickly WILL MARK BRAINLESS
Answer:
Com on grl i am textin u like crazy man
Step-by-step explanation:
divisibilty by 2 5 and 10
Step-by-step explanation:
if the number ends in a 0,it is divisible by 10.Also if number and s divisible by 2 and 5 it is divisible by 10
one man have 20 oranges in one hod and the get 20 children in the road and he gave 1 orange fore each of them but there is still an orange left in the hod how ?
Step-by-step explanation:
19 kids get an apple each, the 20th kid gets the basket with the apple in it, that’s the answer you want, right?
Well that’s a bogus answer, because how come one kid gets a free basket, and why do you even care that the basket has an apple in it if you don’t get to keep it anyway?
Plus it’s not “all the apples to each one of them” is it? No, it’s one apple each, and different apples are different sizes and degrees of ripeness and maybe some have bruises and it’s just inherently unfair.
Instead, I take 19 apples, and I make applesauce, and I distribute the applesauce using a precision scale so every child gets an exactly equal amount of applesauce, and I keep one apple in the basket, which I keep.
Now, of course it’s not quite “ALL the apples” to the children, but you cannot have your cake and eat it too. I gave an equal amount of apple to each child, and if it was 5% short of all the apples, well, it was, but what of it, that’s the best I can do and still keep one apple in the basket.
Because I am NOT giving one child the basket and having the other nineteen kids complaining about why Johnny got a basket and they didn’t, plus where’s my basket? No, I don’t think so.
Answer:
Give 19 children an orange each = 19 oranges given.
Leave one orange in the basket and give the basket containing that orange to the lucky 20th child.
20 Kids, 20 oranges — Case closed
Step-by-step explanation:
An 8-Bar Package Of Soap Sells For $4 What Is The Unit Rate In Cost Per Bar?
Answer:
2 dollars
Step-by-step explanation:
If it’s an 8 pack, that is 4 dollars then if you divid, every bar should cost 2 dollars each.
Can someone help me ?
Please I rlly need this help!
Use operations of decimal, fraction, and percent numbers to model the following scenarios. In your final answer, include only an equation or proportion modeling the scenario. Do not solve the problems.
1 A family dines in a popular franchise restaurant. At the end of the meal, they decide to leave their server a monetary tip that is equal to 20% of the total bill amount, $60.50. How much will the family leave their server as a tip?
2 A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 15% off of their total dinner bill, not including applicable sales tax or their server’s tip. If the family’s dinner bill totaled $34.00 before tax and tip, how much money will they save by using the coupon?
3 A family dines in a popular franchise restaurant. They plan to use a coupon that will give them a discount of 10% off of their total dinner bill, not including applicable sales tax or their server’s tip. The bill totals $157.30 before tax and tip. What is the new total after the server applies the 10% off coupon?
4 A family of eight dines in a popular franchise restaurant. The restaurant has a policy of automatically including a standard tip to the final bill for parties larger than six people. The bill for the meal included a total of $58.25 in food and beverage sales, plus a standard tip of $10.49. What percent of the food and beverage sales does the restaurant consider to be a standard tip for parties larger than six?
5 A family dines in a popular franchise restaurant that has a policy of automatically including a 20% tip on all food and beverage sales before coupon discounts are applied. What is the family’s total bill amount if their food and beverages totaled $94.20 and they used a 15% off coupon? (HINT: Create more than one model.)
Answer:
more details about this?
Step-by-step explanation:
Please help and look at the image. (The table shows the transportation method of employees at a certain company. What percent of the employees walk to work?
)
Answer:
0.5% to walk to work.
Step-by-step explanation:
First, find town many employees in total, Add all the numbers to find it. We get 1400, next we find the percentage of 1400 that gets us the number 7.
0.5% of 1400 is 7 so 0.5% is the answer :)
On average, Americans consume 13.9 pounds of ice cream per person over an entire year. Ben loves ice cream, but limits himself to one 6 ounce (oz) serving each week. Find the difference between the amount of ice cream that Ben consumes compared to the national average.
Answer:
5.6 pounds
Step-by-step explanation:
13.9 pounds of ice cream are consumed per year by individual.
Ben consumes 6 ounce serving per week.
The amount of ice cream consumed by Ben in a year can be determined by;
since there is an average of 52 weeks in a year, then;
6 ounces x 52 = 312 ounces
But,
1 ounce = 0.0625 pounds
So that,
312 ounces = x pounds
x = 312 x 0.0625
= 19.5
x = 19.5 pounds
Thus, Ben consumes 19.5 pounds of ice cream per year. He consumes more than the average value per person in a year.
The difference = Amount Ben consumes - National average
= 19.5 - 13.9
= 5.6 pounds
12 gallons of gas cost $30. How much will it cost to get an additional 4 gallons of gas?
Answer:
the answer is 40
Step-by-step explanation:
Okay ive been stuck on this for 30 minutes what is 2+2+?
What number makes the equation true? Enter the answer in the box.
÷3 = 6
Answer:
18
Step-by-step explanation:
multiply 6 by 3
Hope this helps. Pls give brainliest.
(Ans: 500)
4) The minimum charge of telephone calls up to 175 calls is Rs. 200 the charge for each
extra call of 2 minutes duration is Rs. 1. If a man paid Rs. 870.10 with 10% T.S.C and 13%
VAT for Rs telephone bill, find the number of extra calls made.
5) The distance between kalanki and Thamel is 5.4 Km. the minimum fare is Rs. 221 at the
first and the fare goes on at the rate of Rs. 11.10 per 200 meters. Find the taxi fare
between Kalanki and Thamel. (Ans Rs. 320.70)
6) Mr. Gopal hired a taxi and travelled a certain distance at 10:30pm he paid the total fare
of Rs. 345 including the additional waiting charge for 10 minutes. If the minimum fare is
RS. 21, the fare per 200m is a Rs 10.80 and the waiting charge is Rs. 10.80 per 2 minutes
find the distance travelled by him. (Ans: 5Km)
Algebraic Expression and simplification
Solved examples:
1. A) Factorize : a) 2 + 10 +
a
Sol" here,
+ 10 +
62
a?
21b2
21b2
a2
21b2
a2
7 ab
3 ab
Answer:
bvyf0x9yoyx0xypypp0y0yyx0p60py0ypypppypyppyppypypppppppypp9ic attach xoxixizoxihixziicusfyfugdg lvl knockoff works
ok i need yall help please
15=x+23-2x
What is an equation of the line that passes through the point (6, 1) and is
perpendicular to the line 2x + 3y = 18?
Answer: y=1,5x-8
Step-by-step explanation:
At first transform the equation
2x+3y=18
3y= 18-2x
y= 6 - (2/3)x
The linear function has general form, which looks like that:
y=mx+n
perpendicular means that m1*m2=-1
In our case m1= -(2/3) and m2 is unknown
(-2/3)*m2= -1
m2=3/2 so m2=1,5
The line has to go through the point (6,1)
so 1=6*1,5+n
1=9+n
n= -8
so the function looks like that y=1,5x-8
State the slope and y-intercept of y=5x+2
Answer:
5 is the slope
(0,2) is the y intercept
Step-by-step explanation:
The equation y = 5x + 2 appears to be written in the y = mx + b form of a linear equation.
m represents slope and b represents the y value of the y intercept.
Here, m = 5 and b = 2.
This means 5 is the slope and (0,2) is the y intercept.
please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
dm me for help
Step-by-step explanation:
I need help with this question can someone please help me?
The teacher said we could estimate but give a good reason for that estimate
Answer:
$11, even if you do work a job thats not that hard you should still be making a good amount of money
Step-by-step explanation:
I just used my opinion
HELP ILL GIVE 10 PTS quick pleaseee
Answer: I’m pretty sure it’s the 4th one.
Step-by-step explanation: because 1 and 2 have infinity solutions but 3 has no solution 4 comes up with x=-11
Can you give brainiest? :)
Which product is equivalent to -7 × 2/5?
Answer:
-2.8 or -14/5
Step-by-step explanation:
All you have to do is put the -7 over 1 and multiply across. So it'd look like:
-7/1 x 2/5 which works out across as -14/5 or you can convert it to a decimal to be -2.8. Hope this helps! :)
the sixth one. thanks for all the help!
Answer: The answer is 8 because if you divide each total cost by it’s number of tickets, you will always get 8.
Answer:
sorry gchgfcghhhghhhj
Point A is located at -4.5, and point B is 3.25 units from point A. Write two additional equations that could be used to determine the location of point B.
Answer:
The equations are B = -4.5 + 3.25 and B = -4.5 - 3.25
Step-by-step explanation:
Since point A is located at -4.5 and point B is 3.25 units away from A, point B can either be located on the left or on the right of point A.
If point B is located at the right of A, the equation for point B is -4.5 + 3.25.
If point B is located at the left of A, the equation for point B is -4.5 - 3.25.
So, the equations are B = -4.5 + 3.25 and B = -4.5 - 3.25
Michael record the number of miles he runs each week for the nine weeks 6,11,13,8,15,9,11,5,9 which box plot represents the data
Five number summary
min = 5Q1 = 7median = 9Q3 = 12max = 15===============================================
Explanation:
The given list of values is {6, 11, 13, 8, 15, 9, 11, 5, 9}
It sorts to {5, 6, 8, 9, 9, 11, 11, 13, 15}
The middle most value is the second 9. We have four items below or at the median {5,6,8,9} and four values above the median {11,11,13,15}
The middle item of {5,6,8,9} is (6+8)/2 = 14/2 = 7. This is the value of Q1.
The middle item of {11,11,13,15} is (11+13)/2 = 24/2 = 12. This is Q3.
The min is 5 since it is the smallest of the original list.
The max is 15 because it is the largest of the original list.
The five number summary is
min = 5Q1 = 7median = 9Q3 = 12max = 15The boxplot that matches with this five number summary is the boxplot in the upper right corner.
The min is the left whisker. The max is the right whisker.
The left edge of the box is Q1. The right edge of the box is Q3.
The middle vertical line inside the box is the median.
Answer:
upper right corner
Step-by-step explanation:
Triangular numbers can be represented with equilateral triangles formed by dots the first fire triangle numbers are 1 3 6 10 and 15 is there a direct variation between a triangle number and its position in the sequence explain your reasoning
Answer:
There's no direct variation
Step-by-step explanation:
Required
Determine if there's a direct variation between the number and its position
I'll start by giving an illustration of how the triangle is represented using stars (*)
*
**
***
****
*****
Represent the line number with y and it's position with x
On line 1:
y = 1, x = 1
On line 2:
y = 2, x = 3
On line 3:
y = 3, x = 6
On line 4:
y = 4, x = 10
On line 5:
y = 5, x = 15
Note that, x is gotten by calculating the accumulated number of stars while y is the line number.
Direct variation is represented by
y = kx
Or
kx = y
Where k is the constant of variation
For line 1:
Substitute 1 for y and 1 for x
k * 1 = 1
k = 1
For line 2:
Substitute 2 for y and 3 for x
k * 3 = 2
Divide through by 3
k = ⅔
Note that the values of k in both computations differ.
This implies that there's no direct variation and there's no need to check further.