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Explanation:
The circumference is a special term to mean the perimeter of a circle, or the distance around the circle. Think of a very long rope you can wrap around the circle. Unwinding that rope to make it lay straight can then lead to help measure out the perimeter of the circle when using a straight measuring device (eg: ruler). You can also think of flexible cloth ruler tape that is used to make clothing, and to measure things like height, when thinking about measuring the perimeter of a figure with curves to it.
In this case, the perimeter of the circle is 628 feet. The formula to find the circumference (C) given a radius (r) is shown below
C = 2*pi*r
where pi = 3.14 approximately. We can use a bit of algebra to find the radius r when we are given the circumference C = 628
So,
C = 2*pi*r
628 = 2*3.14*r
628 = 6.28*r
6.28r = 628
r = 628/6.28
r = 100
The radius is 100 feet. Keep in mind that this is an approximate value considering that pi = 3.14 is approximate.
Now we're told that the boat is moving 4 ft per second along the radius. We'll use the distance = rate*time formula to find out how long it will take us to go from the edge fo the center.
distance = rate*time
100 ft = (4 ft per sec)*(x seconds)
100 = 4x
4x = 100
x = 100/4
x = 25
It takes about 25 seconds for the boat to go from the edge to the center of the pond.
Again, this is an approximation due to pi = 3.14 being an approximation.
Answer:
25 seconds
Step-by-step explanation:
the first step is to find the radius of the pond, as that is the distance from the outside of the circle to the center, the same path the boat is taking. the formula for the circumference of a circle is 2pi(r)= circumference, where r represents the radius. to solve for the radius instead of the circumference, we can format the equation as r= circumference/2pi, because to isolate the radius on the left side of the equation you must divide by 2pi on both sides. we know the circumference is equal to 628, so the equation filled out is r= 628/2pi. firstly, 2*pi is 6.28, using 3.14 as pi. 628/6.28 is 100, so the radius is 100 feet.
next, we know the boat is travelling 4 feet per second. since the path it is travelling is 100 feet long, we must divide 100 by 4. 100 ft divided by 4 ft per second leaves us with 25, so it will take the boat 25 seconds to reach the center of the pond.
hope this helps!
Find the output y when the input x is -4
y=?
PLZ HELP
A teacher is interested in students' opinions about an upcoming school dance. Which of the following techniques
uses systematic random sampling?
Survey the first 10 students who arrive.
Survey every 10th classroom as the teacher walks down the hallway.
Survey the 10th student arriving at school (with the number 10 being randomly chosen), then survey every 12th
student after that
O Survey the 10th student arriving at school (with the number 10 being randomly chosen), then survey every other
boy and every other girl after that.
Answer:
think its c but not sure
Step-by-step explanation:
because it repeats its self to get i sample
Answer and Step-by-step explanation: yes it's C i got it right so did the person above me
12.
Find whether p = 2 and p=3 are solutions for the equation
7 (p+2)=5 (p+4) ? Justify?
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
7(p+2)=5(p+4)
By distributive law
The eqn becomes :
7p + 14 = 5p + 20
collecting like terms ;
7p - 5p = 20 - 14
=> 2p = 6 and
:- P = 3 ( dividing both sides by 2)
P= 3 is the only solution to the equation above and it satisfies the equation.
Rosa earned a total of $34 by selling 17 cups of lemonade. How many cups of lemonade does Rosa need to sell in all to earn $46? Assume the relationship is directly proportional.
Answer:
23
Step-by-step explanation:
Because 2 dollar each cup. so 2 times 23 is $46. 5 star if this help thanks:)
I need help no links 20 points
Answer:
t x 1/8 = n 1/8 = 0.125 in decimal form!!
Step-by-step explanation:
Which of the following is a true statement about perpendicular lines?
A.
Perpendicular lines intersect to form a 45° angle.
B.
Perpendicular lines intersect at exactly one point.
C.
Perpendicular lines can also be parallel lines.
D.
Perpendicular lines intersect in at least two points.
Answer:
B.
Step-by-step explanation:
Perpendicular lines intersect at exactly one point.
(perpendicular lines form an x with right angles)
i will need the answer for this
Answer:
Hello! r would equal 0.4. To do this, first subtract 4 from both sides. So (10r+4-4=8-4). You are then left with 10r=4. So then you divide both sides by 10. 10r/10=4/10. So you are left with 0.4. r=0.4
Step-by-step explanation:
Analia is a school district manager. Here are some details about two schools in her district for the last school year:
School A School B
Number of students 300030003000 400040004000
Number of teachers 190190190 380380380
Graduation rate 86\%86%86, percent 90\%90%90, percent
Budget per student \$10{,}500$10,500dollar sign, 10, comma, 500 \$10{,}000$10,000dollar sign, 10, comma, 000
% of students in sports club 62\%62%62, percent 68\%68%68, percent
Number of sports medals won 999 777
SAT average 120012001200 105010501050
SAT range (max-min) 900900900 700700700
Analia wants to know which school has the lower SAT range relative to the resources invested per student (lower, as SAT range is a measure of inequality, which we want to minimize as much as possible).
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.
Explain how you know that √10 is between 3 and 4? what would your estimate of √10 be??
Dont try and say the answer in a mf file i have to download lol
Answer:
Step-by-step explanation:
Welllllll.....
If you take the square root of 9, it's 3
if you take the square root if 16, it's 4
I would guess it to be about 3.2
Answer:
Step-by-step explanation:
Lily , we know that [tex]3^{2}[/tex] =9 and [tex]4^{2}[/tex] = 16 so we know that [tex]x^{2}[/tex] = 10 , where 10 is an answer to x squared, then X lies between 3 and 4 , see?
2 * blank equals 6.5
Answer:
3.25 or 3 and 1/4
Step-by-step explanation:
The algebraic equation is 2x = 6.5.
Divide by 2 to get your answer.
6.5 divided by two is 3.25.
x = 3.25
Answer:
3.25
Step-by-step explanation:
just take away the 25 and multiply it that way
Plz give me brainllest
While on an 8.0 h trip, a car traveled for 3.5 h at an average speed of 90 km/h before stopping for 1.0 h. The car then traveled for 2.0 h at an average speed of 80.0 km/h For the last 1.5 h, the car traveled at an average speed of only 70.0 km/h. What was the average speed of the car for the entire 8.0 h trip?
Answer:
72.5 km/h
Step-by-step explanation:
Multiply the km/h by how many hours your going at that speed/total number of hours on trip.
(90x(3.5/8))+(80x(2/8))+(70x(1.5/8))
39.375+20.5+13.125
72.5km/h
(135). I buy 7 CDs costing £5.99. How much change do I get from £50?
Answer:
8.07, excluding taxes.
Step-by-step explanation:
7x5.99 = 41.93
50-41.93 = 8.07
Find the area of the circle.
50.24 in?
803.84 in?
d= 8 in.
25.12 in?
12.56 in?
200.96 in?
Answer:
The answer is 50.24
Step-by-step explanation:
Equation is: 3.14 times 4²
Radius is 1/2 the diameter
Please help me with this question it contains angles and measurements
Answer:
m∠ONP = 43*
m∠LNO = 137*
m∠MNP = 137*
Step-by-step explanation:
Each line segment is a straight line meaning they are each worth 180°, so if you take 43° from 180° you're eft with 137° which is what ∠LNO and ∠MNP are equal to. ∠ONP is 43° since it is a vertical angle to ∠MNL which is also 43°.
(2N/6N+4) (3N+2/3N-2
The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.
Answer:
x = price of adult tickets = $7
y = price of students tickets = $6
Step-by-step explanation:
Let
x = price of adult tickets
y = price of students tickets
7x + 7y = 91 (1)
14x + 12y = 170 (2)
Multiply (1) by 2 to
14x + 14y = 182 (3)
14x + 12y = 170 (2)
Subtract (2) from (3) to eliminate x
14y - 12y = 182 - 170
2y = 12
y = 12/2
y = 6
Substitute y = 6 into (1)
7x + 7y = 91 (1)
7x + 7(6) = 91
7x + 42 = 91
7x = 91 - 42
7x = 49
x = 49/7
x = 7
x = price of adult tickets = $7
y = price of students tickets = $6
1. Find the area of the parallelogram.
What is the area?
Answer:
67.5[tex]in^{2}[/tex]Step-by-step explanation:
Area of a parallelogram is base x height
The base of the given parallelogram is 9 inches and the height is 7.5 inches
So, its area would be
9 x 7.5
Area equals [tex]67.5^{2}[/tex]
2k multiplied by k equals??????
Answer:
3.81238067 × 10-46 m4 kg2 s-4 K-2
Step-by-step explanation:
Which is the number name for 32.611? thirty-two and ciy bundrom
Answer:
Winnipeg.
Step-by-step explanation:
y=2x+3 y=4x+7 solve by elimination
Answer:
[tex]\displaystyle [-2, -1][/tex]
Step-by-step explanation:
To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of [tex]\displaystyle x,[/tex]therefore we will split the second equation in negative half :
[tex]\displaystyle \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}y = -2x - 3\frac{1}{2}}} \right. \\ \\ \frac{1}{2}y = -\frac{1}{2}; -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}[/tex]
I am joyous to assist you at any time.
The following are the last 10 run scores Colin got in cricket:
18, 9, 7, 35, 30, 21, 33, 12, 30, 31
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 27 runs.
What is his new mean score?
Give your answers as decimals.
Answer:
a) 22.6
b) 23
Step-by-step explanation:
a)
Step 1: 18 + 9 + 7 + 35 + 30 + 21 + 33 + 12 + 30 + 31 = 226
Step 2: 226/10 = 22.6
b)
Step 1: 226+27 = 253
Step 2: 253/11 = 23
Find the value of x.
Answer: x=133
Step-by-step explanation:
This is a hexagon that has a total of 720 degrees (which you can get by the formula of degrees = (# of sides – 2) * 180).
You first add up all your side:
150+130+97+120+90 +x = 587 + x
587+x = 720
x=133
pls help!!?!?!?!?!?!!?!?!?
Answer:
The first step is to subtract 4 to both sides. Next we must multiply both sides by 2. The answer is - 20
The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.
Answer:
price of an adult ticket = a = $7
price of a student ticket = s = $6
Step-by-step explanation:
price of an adult ticket = a
price of a student ticket = s
7a + 7s = 91 (1)
14a + 12s = 170 (2)
Multiply (1) by 2
7a + 7s = 91 (1) × 2
14a + 14s = 182 (3)
14a + 12s = 170 (2)
Subtract (2) from (3) to eliminate x
14s - 12s = 182 - 170
2s = 12
s = 12/2
s = 6
Substitute s = 6 into (1)
7a + 7s = 91 (1)
7a + 7(6) = 91
7a + 42 = 91
7a = 91 - 42
7a = 49
a = 49/7
a = 7
price of an adult ticket = a = $7
price of a student ticket = s = $6
What is the volume of a cylinder that has the following measurements? area of each base: 50.24 ft2 area of lateral surface: 75.36 ft2 height of cylinder: 3 ft 128.6 ft 3 226.08 ft 3 150.72 ft 3 175.84 ft 3
100 points bad answers will get banned and reported
Answer:
150.72 ft³Step-by-step explanation:
Given:
Area of the base :
B = 50.24 ft²Height of cylinder:
h = 3 ftThe volume is:
V = BhV = 50.24*3 = 150.72 ft³Answer:
150. 72 ft³.#CarryOnLearning8.88 = 4.44(x-7)
Solve for x
Show or explain your method
Answer:
x=9
Step-by-step explanation:
8.88=4.44x-31.088.88-4.44x=-31.08-4.44x=-31.08-8.88-4.44x=-39.96x=9(we divided both rquations by -4.44)help please its timed
Answer:
immune system
Step-by-step explanation:
Jada earns $7 per hour mowing her neighbors’ lawns. Identify the independent variable in this situation, and write the letter that you would like to use to represent it.
And Identify the dependent variable and write the letter that you would like to use to represent it.
(Find the distance between the points A(4, 3) and B(7,-1).
Type the correct answer in each box. Use numerals instead of words. If necessary, useType the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows. / for the fraction bar(s). Jane arranges m chairs in each of n rows to seat x people. The formula to find the number of chairs in each row is m = . If 60 people attend the meeting and each row has 4 chairs, there are rows.
Answer:
m = x / n
n = 15
Step-by-step explanation:
Number of chairs per row = m
Number of rows = n
Number of people = x
Number of chairs per row, m = number of people, x / Number of rows, n
m = x / n
If number of attendees, x = 60 ;
Number of chairs per row, m = 4
The number of rows, n = number of attendees / number of chairs per row, m
Hence, n = 60 / 4 = 15 rows