Answers
=============================================================
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!
Related Questions
A girl throws a paper airplane from her treehouse. The height of the plane is a function of time and can be modeled by the equation ℎ()=25+2.5−122. Height is measured in feet and time is measured in seconds.
Answers
h(0) show the initial height of the plane, that is 25 feet.
The given equation is h(t)=25+2.5t-1/2 t².
Here, h(0)=25+2.5(0)-1/2 (0)²
h(0)=25
This shows the initial height is 25 feet.
Therefore, h(0) show the initial height of the plane, that is 25 feet.
To learn more about the function visit:
https://brainly.com/question/28303908.
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"Your question is incomplete, probably the complete question/missing part is:"
A girl throws a paper airplane from her treehouse. The height of the plane is a function of time and can be modeled by the equation h(t)=25+2.5t-1/2 t². Height is measured in feet and time is measured in seconds.
Evaluate h(0) and explain what this value means in this situation.
There are 5 green skittles, 4 orange skittles, and 3 red Skittles in a bag. What is the probability of red Skittle, Not replacing it (eating it), then picking a green skittle?
Answers
Answer:
3/12
Step-by-step explanation:
the entire bag has 12 skittles. there are only 3 red. This gives a fraction of red skittles/entire bag in order to get the probability. So this would be 3/12 in this most basic sense? I am not sure if you need to go further than this or not. Hope this helps!
what is y=-3x-5 in standard form?
Answers
Answer:
3 x-y=5
Step-by-step explanation:
Toby has already spent 22 minutes on the phone, and he expects to spend 2 more minutes with every phone call he routes. In all, how many phone calls does Toby have to route to spend a total of 42 minutes on the phone?
_____ phone calls
Answers
42-22 is 20
20 minutes divided by 2 minutes is 10
8/9 ÷ 2/3 - 5/6
step by step fast
Answers
Answer:
is 1/2 or .5
Step-by-step explanation:
PLEASE HELP ILL MAKE BRAINLIEST
Answers
Answer:
56°
Step-by-step explanation:
180 = 40 + (2x) + (3x)
180 - 40 = 40 + 5x - 40
140/5 = 5x/5
x = 28
2(28)
= 56
Answer:
m∠A = 56°
Step-by-step explanation:
A triangle contains 180°. So
180 - 40 = 140
2x + 3x = 140
5x = 140
x = 28
Now, plug in the value for x.
2(28) = 56
Check your work.
40 + 56 + 84 = 180
Suki has 10 rock songs, 11 dance songs 12
salsa songs and 7 classical songs on her
playlist. If Suki's music player randomly
selects a song from the playlist, what is the
experimental probability that the song will be
a classical song?
Answers MUST be written as a fraction only.
Answers
Answer:
7/40
Step-by-step explanation:
possible outcomes = 10+11+12+7 = 40
favourable outcome = 7
theoretical probability = favourable outcomes/possible outcomes
therefore, 7/40 is the answer
HELP ASAP find the volume of the figure. (3.14 as pi)
Answers
Answer:
Step-by-step explanation:
the two ends , made up of triangles make an 8x5x5 box1
box1 = 200
the center piece makes a box2 of 10x8x5
box2 = 400
volume = 600 [tex]ft^{3}[/tex]
The temperature in degrees Fahrenheit was recorded every two hours starting at midnight on the first day of summer. The data is show in the table.
Hours
Temp. °F
0
62
2
60
4
57
6
58
8
61
10
64
12
70
14
75
Which type of graph would best display the change in the temperatures throughout the day?
bar graph
line graph
line plot
stem and leaf plot
Answers
Answer:
Line Graph
Step-by-step explanation:
Line graphs are the best type of graph to use when you are displaying a change in something over a continuous range. For example, you could use a line graph to display a change in temperature over time. Time is a continuous variable because it can have any value between two given measurements.
Lynette has a metal doorstop with the dimensions shown.
Each cubic centimeter of the metal in the doorstop has a mass
of about 8.3 grams. Find the volume of the metal in the
doorstop. Then find the mass of the doorstop.
Answers
Volume = 105in³
Mass = 871.5g
To find the volume of the metal we can find the area of a base, and multiply it by the prism's width.
The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³
The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g
Some plsss helppppppp
Answers
$ -50
Step-by-step explanation:
they gain no profit since they spent more money than they had
Answer:
$-50 dollars
Step-by-step explanation:
let me know if I'm wrong
I make $8 dollars per hour (H) for babysitting. I make a total (T) dollars babysitting on Saturday. In the space below, identify the Independent Variable (either H or T), the Dependent Variable (either H or T), and write an equation based on this information (include 8, H, T, and an = sign).
Answers
Answer: 8H=T
Step-by-step explanation:
8 is dependant on the hours so you put it together. Your independent
value is T since it is by itself. So your answer becomes.
8H=T
Sandra can run 3 miles in 20 minutes. How many minutes will it take her to run 7 miles?
Answers
Answer:
46.7 minutes to run 7 miles
Step-by-step explanation:
3 miles in 20 minutes boils down to the unit rate 3/20 miles/minute.
Multiply 7 miles by the unit rate (20/3 minutes/mile):
(7)(20)
---------- minutes, or approximately 46.7 minutes to run 7 miles
3
hey guys i really need help rn bc i’m in a rush to get this done. i’m begging u if u could help me with this question an a few others i’ll mark brainiest. just pls help!
Answers
Answer:
9 1/2
Step-by-step explanation:
=2*3+3 1/2
=6+3+1/2
=9 1/2
Solve the inequality for y.
8y> 48
Simplify your answer as much as possible.
Answers
Answer:
y>6
Step-by-step explanation:
y>48/8
y>24/4
y>12/2
y>6
Answer:
6
Step-by-step explanation:
divide both side by 8 for y to stand alone then 8 will cancel 8 and 48 divided by 8 = 6
8y\8 > 48/8
y= 6
I’ll give BRAINLIEST to best answer, please answer fast.
Answers
2 waffles =3$
2x4=8 waffles (How many waffles Sage wants)
3 + 3 + 3 + 3= 12 (or 3x4)
(2) (4) (6) (8)
12$ at I Scream
4 waffles= 4$
4 waffles x2=8$
8$ at Scoopz
12-8= 4
Sage would save 4 dollars if she got 8 waffles at Scoopz.According to the graph, what is the value of the constant in the equation
below?
Height=
Constant/Width
(4, 25)
(5, 20)
(10, 10)
(20,5)
Answers
Answer:
100
Step-by-step explanation:
x-value is width and y-value is height. Therefore if you multiply the height x width you get the constant.
The value of the constant in the equation is 100.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Given that, Height=Constant/Width
1) (4, 25)
Here, Height = 25 and Width = 4
25 = Constant/4
Constant = 100
2) (5, 20)
Here, Height = 20 and Width = 5
20 = Constant/5
Constant = 100
3) (10, 10)
Here, Height = 10 and Width = 10
10 = Constant/10
Constant = 100
4) (20, 5)
Here, Height = 20 and Width = 5
20 = Constant/5
Constant = 100
Therefore, the value of the constant in the equation is 100.
To learn more about the graph visit:
brainly.com/question/14375099.
#SPJ7
9 An exponential function is graphed on the grid.
V
20
18
16
14
112
6
2
1
2
3
4
5
6
7
Which function is best represented by the graph?
A g(x) = 6
= (3)
B g(x) = 6(3)*
C g(x) = 6 -
3
D g(x) = 6 -(3)*
Answers
the diagram shows a cuboid.what is the surface area of the cuboid
plz help
Answers
Answer:
202 cm
Step-by-step explanation:
You need to add the areas of the faces, and since it is a cuboid opposite faces are the same. If you do 2(5x9) + 2(4x9) + 2(4x5) you will get your answer.
Answer:
Hello Love! Answer: 202
Step-by-step explanation:
First off we have to do all 6 faces remember that each face will have a matching face that goes along with it so Imma start with the front face that would be 9 x 5 = 45 same for back face
Then ill do sides that will be 5 x 4 = 20 for both left and right sides Then ill do top and bottom
thats 4 x 9 = 36 Now ill add all of these up.
So 45 + 45 + 20 + 20 + 36 + 36 and that = 202
rose watches a circular ornament that has 6 equally spaced stones. identify x
Answers
Answer:
x = 60°
Step-by-step explanation:
It is given that the stones are equally spaced. As the circle is divided into 6 parts by 6 split points and there are 360∘ in the circle, each part equals 360∘/6 = 60∘. So,
mAB◠ = 60∘
mBC◠ = 3 (60∘) = 180∘
If a tangent and a secant intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs.
x = 1/2 (mBC◠ − mAB◠)
Substitute the known values into the formula.
x = 1/2 (180∘ − 60∘)
= 1/2 (120∘)
= 60∘
Therefore, x = 60∘.
a particle moves along a horizontal line. Its position function is s(t) for t>0. For each problem, find the velocity function v(t) and the acceleration function a(t).
s(t)=t^3-t^2-56t
Answers
Answer:
Answer is in a photo. I can only upload it to a file hosting service. link below!
bit.^{}
ly/3a8Nt8n
I need help ASAP
Also I need to show work on it because it is for my homework
Answers
Answer:4.5
Step-by-step explanation:
PLZ HELP!! brainliest and 40pnts
PT 1
Find the volume of a cone that has a radius of 1/2 and a height of 1.
a) 3/2 pi b) 3/4 pi c) 1/12 pi D) 1/6 pi
PT 2
Find the volume of a cylinder that has a radius of 1/2 and a height of 1.
a) 1/2 pi b) 1/4 pi c) 3/2 pi d) 4 pi
Answers
Answer:
PT 1: C
PT 2: B
Step-by-step explanation:
In order to find the volume of a cone use equation
[tex]V=\pi r^2\frac{h}{3}[/tex]
To find the volume of a cylinder use equation
[tex]V=\pi r^2h[/tex]
A factory makes car batteries. The probability that a battery is 1/14. If 400 batteries are tested how many are defective
Answers
Answer:
1/14 of 400 batteries = 56 batteries
Step-by-step explanation:
[tex]400 \times 0.14[/tex]
Answer:
Actual: 28.57
Rounded: 29
Step-by-step explanation:
400/14 = 28.57
Round to nearest whole number: 29
Correct on A P E X
can someone help please
Answers
Answer:
I believe the answer is 8 because 8 can go in both 64 and 40.
Step-by-step explanation:
If you divide 64 by 8 then you get 8 and if you divide 40 by 5 you also get 8.
please help im gonna fail
Answers
Answer:
1.) -3.75
2.) [tex]\frac{9}{4}[/tex]
3.) [tex]\sqrt{8}[/tex]
4.) 3
Step-by-step explanation:
Negatives are always less than positive numbers
9/4 = 2.25
Square root of 8 is around 2.83
The inverse of x + y is ?
Answers
Answer:
y + x
Step-by-step explanation:
what type of object is pictured below?
Answers
Answer: segment
Step-by-step explanation:
Answer:
B. Segment
Step-by-step explanation:
The interior angles formed by the sides of a hexagon have measures that add up to 720°. What is the measure of angle F? Need HELP ASAP
Answers
Priscilla can make 4 bracelets in 18 minutes. At this rate, how many bracelets can she make in 54 minutes?
Answers
Answer:
13 full bracelets
Step-by-step explanation: