Step-by-step explanation:
circumference = 2 pi r
2 × 3.14 × r = 527.52 yd
r = 527.52 × 1/2 × 1/3.14
r = 84 yd
Surface area = 4 pi r²
= 4 × 3.14 × 84²
= 88,623.36 yd²
The blades of a windmill turn on an axis that is 30 feet from the ground. the blades are 10 feet long and complete 2 rotations every minute. write a sine model, y = asin(bt) k, for the height (in feet) of the end of one blade as a function of time t (in seconds). assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate. y = 30 sine (startfraction pi over 15 endfraction t) 10 y = 30 sine (startfraction pi over 15 endfraction t) 30 y = 10 sine (startfraction pi over 15 endfraction t) 10 y = 10 sine (startfraction pi over 15 endfraction t) 30
The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
What is sine function with time?The period of a sine function is equal to the 2π and it repeats after each 2π units.
The sine model can be given as,
[tex]y = a\sin(bt) +k[/tex]
The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,
[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]
The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,
[tex]k=30[/tex]
The blades are 10 feet long. Thus,
[tex]a=10[/tex]
Put these values in the above formula as,
[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]
Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
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Answer:
B
Step-by-step explanation:
Have you ever seen a photo online that did not seem to have the colors right? Perhaps the colors looked unnatural or not appropriate for the subject of the photo. Describe such a photo and what you think was wrong with it in terms of color. How did this photo with poor color values make you feel about the website it was on? How important do you think getting the color right is for images online?
Write three to five sentences that answer these questions. You should thoroughly explain every statement you make in your response. If possible, include a link to the photograph you are describing.
Answer:
Yes, I have before. The colors were pretty natural, but they didn't quite fit with the actual picture. It was a street with blue vintage contrast, and it had a rotting apple core. It was wrong because blue street didn't feel that normal and was an inaccurate portrayal because it didn't fit the apple core and all. The website actually was a website with "bad" photos, so I understood. I think it is very important to accurately convey meaning, tone, and much more.
The attachment cannot be uploaded because it isn't JPEG :(
Can you answer this, as it is greatly appreciated
Answer:
See belowStep-by-step explanation:
Let the amount of pecans is x pounds and cashew is y pounds.
The inequalities according to the question are:
x + y ≥ 36x + 8y ≤ 24The solution of the system is attached as a graph below.
Possible combinations are:
(2, 1) or (1, 2)Answer:
3 pounds of pecans and 0.5 pound of cashews
2.5 pounds of pecans and 1 pound of cashews
Step-by-step explanation:
Given information:
Malik can spend no more than $24 to buy pecans and cashews.Malik wants to buy at least 3 pounds of nuts.Cost of pecans = $6 per poundCost of cashews = $8 per poundDefine the variables:
Let x = number of pounds of pecans Malik can buy
Let y = number of pounds of cashews Malik can buy
Create a system of inequalities from the given information:
6x + 8y ≤ 24x + y ≥ 3Graph the inequalities (see attached)
The possible solutions are any points enclosed by the shaded area where x > 0 and y > 0.
Therefore, two possible combinations are:
3 pounds of pecans and 0.5 pound of cashews2.5 pounds of pecans and 1 pound of cashewsplease help its easy
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
[tex] \frac{12 - 3}{12} [/tex]
[tex] \frac{9}{3} [/tex]
cross out the common factor.
[tex] \frac{3}{4} [/tex]
Answer:
9/12 (or 3/4)
Step-by-step explanation:
If you subtract the number of brownies that Brittany's brother will eat, you will have 9 remaining brownies. So, that means 9 out of the original 12 brownies will be left, or 9/12. Also, you can simplify the fraction. Both 9 and 12 can be divided by 3.
9/12 divided by 3/3 equals 3/4. 3/4 is the fraction in it's simplest form.
So, 9/12 (or 3/4) of the brownies are left.
I hope this helps! Have a lovely day!! :)
f(x) = –2x2 + 4x and g(x) = x2 + 18x + 77.
What is (f•g)(x) in standard form?
Step-by-step explanation:
I take it this is meant to be a multiplication, right ?
not a "function of function", which would be symbolized by a little empty circle.
to multiply 2 function means basically the same as to add, subtract or divide 2 functions : to apply the arithmetic operation in both expressions.
(f×g)(x) = (-2x² + 4x)(x² + 18x + 77) =
= -2x⁴ - 36x³ - 154x² + 4x³ + 72x² + 308x =
= -2x⁴ - 32x³ - 82x² + 308x
BRAINLIEST TO WHOEVER GET IT RIGHT
What are the solutions to the system of equations graphed below?
in picture below:)
Answer:
hey there!
Step-by-step explanation:
your answer should be the first one (0,4 and 2,0)
hope its help yayayayayou
Please help what is the product?
Answer: It's A bro
Step-by-step explanation: if you get the brainly app on your phone you can take pics and use that to solve it that's what I did
y(2.5+7)+y-2
10.5y-2
which statement best explains why the expressions are equivalent
a the expressions have the same value for any value of y
b the expressions have the same value for only whole number values of y
c the expressions have the same value only when y is an odd number.
d the expressions have the same value only when y is an even number.
Using the equivalence concept, it is found that the correct option is given by:
a the expressions have the same value for any value of y.
What are equivalent expressions?Two expressions are said to be equivalent if for the same input, they have the same value.
In the expressions given in this problem, the input is y, hence they have the same value for any value of y, which means that option A is correct.
More can be learned about equivalent expressions at https://brainly.com/question/2972832
S = 4LW + 2WH; S = 184, L = 9, W = 4.
Step-by-step explanation:
S=4LW+2WH
160=4(9)(4)+2(4)H
160 = 144 + 8H
160- 144 = 144 - 144+8H
16 =8H
16/8H = 8H/8
H=2
Question 22 (2 points)
Which object listed below has the greatest momentum?
A 0.05 kg object rolling at 0.2 m/s.
B 0.15 kg object rolling at 1 m/s
C 0.15 kg object rolling at 2 m/s.
D 0.4 kg object rolling at 2 m/s.
Answer:
D.
Step-by-step explanation:
Momentum(p) is Mass(m) times Velocity(v) or p = mv
The results of the calculations are attached. 0.4 kg at 2 m/s has the most momentum: 0.8 kg*m/s
Find the missing angle
Answer:
68 degrees.
Step-by-step explanation:
A right angle is 90 degrees. If you subtract 90-22 you will get 68.
bob leaves school and starts walking home at a speed of 3 mph. At the same time, his sister leaves their house and starts biking to school at a speed of 12 mph. how far from home is their school if they meet in 10 minutes
We will see that the distance between the home and the school is 0.5 miles.
How far from home is their school?We know that they meet in school after 10 minutes.
So, the distance from home to school will be equal to the slowest of the speeds times 10 minutes (we assume that the faster one arrives at school earlier than in 10 minutes).
This will be:
3 miles per hour *10 minutes.
Note that the units are different, so we write 10 minutes in hours.
1 hour = 60 min.
(1/ 60) hour/min = 1.
Then:
10 min = 10 min*(1/ 60) hour/min = 0.167 hours.
Now we can find the distance to their school as:
D = 3 mi/h*0.167 h = 0.5 miles.
If you want to learn more about speed, you can read:
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Answer:
2.5 miles
Step-by-step explanation:
big brain
I got these three exercises that I gotta do and I need help. It’s in Hebrew but it would mean a lot if someone could help!
Answer:
i dont lnow the language sorry
Please help, I need it soon.
Right triangles 1,2 and 3 are given to its all their angle measures and approximate side lengths
Choose one answer:
4.5 units
5.4 units
9.1 units
10.9 units
Answer:
5.4 units
Step-by-step explanation:
From the figure ,it's clear that sin(50) = PQ/7
Then
PQ = 7×sin(50) = 5.362311101833
Therefore the approximate length of PQ I saw 5.4
А.
8
В B.
7
D
=
CD = [?]
Enter the number that belongs in
the green box.
Answer:
8
Step-by-step explanation:
Alternate interior angles make b and d equal and A and c are equal. Because of this, ABD=CBD.
AB=CD
I need help with my math homework
VW = 6
hope it helps...!!!
i don’t understand this question
Answer:
3/2
Step-by-step explanation:
To find the slope, choose two points.
For example, choose (2, 5) and (4, 8).
Now find the difference between the y-coordinates.
8 - 5 = 3
Find the difference between the x-coordinates.
4 - 2 = 2
Divide the difference in y by the difference in x. That is the slope.
slope = 3/2
if 6 people share 31 apples equally, how many apples should each person get ?
Answer:
5 apples
Step-by-step explanation:
[tex]\frac{31}{6}=5.16666667[/tex]
Since the problem asks for how many apples, you'll have to round down the number you get. 5.16666667 rounded down gives you 5 apples each.
The top of Mrs. Vonvilla’s coffee table has the dimensions shown. She wants to put a bumper around the edges of the table to protect her child in case he falls. What is the perimeter of the tabletop?
A coffee table has a length of 48 inches and a width of 28 inches.
Use the formula for the perimeter of a rectangle, P = 2 l + 2 w, where P is the perimeter, l is the length, and w is the width.
76 in.
152 in.
304 in.
1,344 in.
Answer:
152 inch
Step-by-step explanation:
The dimensions of tha coffee table are .
The perimeter of a rectangle is defined as , where is the length and is the width.
So, by given we have
If we use the formula for the perimeter of a rectangle and substitute each variable, then we would have
The perimeter of the coffee table is 152 inches.
Dairy Queen has been analyzing their sales and profit records. They came up
with the following equations:
A. The function below shows Profit, P, as a function of the cost of a blizzard x.
P(x) - 65(x - 4) + 1000
=
1. At what prices would Dairy Queen earn zero profit?
2. How should Dairy Queen price their blizzards to maximize profits?
3. What is their estimated maximum profit?
4. Sketch a graph and make sure to label the x and y axis.
The function P(x) = -65(x - 4)² + 1000 of Dairy queen is an illustration of quadratic functions
Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000
The price that gives zero profitThe function is given as:
P(x) = -65(x - 4)² + 1000
At zero profit, P(x) = 0
So, we have:
-65(x - 4)² + 1000 = 0
From the graph of the function (see attachment), we have:
x = 0.078 and x = 7.922
Hence, the prices that give zero profit are 0.078 and 7.922
How to maximize profits?To maximize profit, Dairy Queen should their blizzards at a price that yields maximum profit
The estimated maximum profitWe have:
P(x) = -65(x - 4)² + 1000
A quadratic function is represented as:
P(x) = a(x - h)² + k
Where:
Vertex = (h,k)
So, we have:
h = 4 and k = 1000
Hence, Dairy queen should price their blizzards at $4, and the estimated maximum profit is $1000
Read more about quadratic functions at:
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Suppose f (x) = x². Find the graph of
y (x+5).
Step-by-step explanation:
Suppose f (x) = x². Find the graph of
y (x+5).
Type the correct answer in each box. Use numerals instead of words.
The surface area of a cylinder is about 155.83 square feet. The height of the cylinder is 3 times the radius. What are the height and the diameter of the cylinder, to the nearest hundredth of a foot?
The radius is approximately___ feet and the height is approximately___feet.
The diameter and height of the cylinder are 4.98ft and 7.47 feet respectively
How to calculate the surface area of a cylinderThe formula for calculating the surface area of a cylinder is expressed as:
S = 2πr(r+h)
where
r is the radius
h is the height = 3r
Substitute into the expression to have:
S = 2πr(r+3r)
S = 2πr(4r)
S = 8πr²
155.83 = 8πr²
r = 2.49feet
Since h = 3r
h = 3(2.49)
h = 7.47 feet
Hence the diameter and height of the cylinder are 4.98ft and 7.47 feet respectively
Learn more on surface area of cylinder here: https://brainly.com/question/76387
Answer:
The radius and height of the cylinder are 2.49 and 7.47 meters respectively
Step-by-step explanation:
What is the value of X in the following equation X/4 + 8 = 13
The diagram shows triangle ABC. Angel ABC is NOT an obtuse angle. Find the greatest value of x. You must show all your working. (Your final line should say ‘Greatest value of x is..’)
First, an angle in a triangle is always less than 180.
An obtuse angle is defined to be greater than a right angle, but less than 180. Since angle ABC is not an obtuse angle, its measurement must be 90 degrees or less.
Angle ABC = x + 3x + 30 = 4x + 30
Since we want x to has its greatest value, angle ABC must also have its greatest value ( -> 90)
Now, we find x : (90-30)/4 = 15
So, the greatest value of x is 15. (recheck : 15 + 15 x 3 + 30 = 90)
what is the equation of line a
Step-by-step explanation:
The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables and c is the constant term. The other different forms to find and represent the equation of a line are slope-intercept form, point-slope form, two-point form, intercept form, and normal form.
a fence is shown on a blueprint and has sides of length 17 cm, 18 cm, 15 cm, and 19 cm. If the scale on the blueprint is 2 cm:7 m, what is the total length of the fence? show ur work pls
Answer:
241.5
Step-by-step explanation:
First add all your numbers togather
17 + 18 + 15 + 19
= 69
THEN..
Multiply by 7
= 69 × 7
= 483
After that divide it by 2..
483 ÷ 2
= 241.5
The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.
Answer:
4π ft.
Step-by-step explanation:
Area = π r^2 = 4π = π2^2
- so the radius is 2 ft,
and the circumfrence = 2 π r
= 2*π*2
= 4π ft.
The circumference of the circle is 4π feet.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
The formula for the area A of a circle with radius r is given by:
A = πr²
We are given that the area of the circle is 4π ft², so we can set up the following equation:
4π = πr²
Dividing both sides by π, we get:
r² = 4
Taking the square root of both sides, we get:
r = 2
The circumference C of a circle with radius r is given by:
C = 2πr
Substituting r = 2, we get:
C = 2π(2) = 4π
Therefore,
The circumference of the circle is 4π feet.
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i do not know this answer, i need help
Answer:
18 kilometers
Step-by-step explanation:
if you know the perimeter, then all you have to do is add up what you have, 10+7=17 and then subtract it giving you the bits that you dont know, so 35-17=18 kilometers.
Answer:
s = 9 Km
Step-by-step explanation:
the perimeter is the sum of the 4 sides
given perimeter = 35 , then
10 + 7 + s + s = 35
17 + 2s = 35 ( subtract 17 from both sides )
2s = 18 ( divide both sides by 2 )
s = 9 Km
Find g(x), where g(x) is the reflection across the x-axis of f(x)=
–
4(x–10)2+3.