The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 15 cosine (StartFraction pi Over 20 EndFraction t). How long does it take for the waterwheel to complete one turn? 5 seconds 10 seconds 20 seconds 40 seconds.
Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.
The height is modeled by:
[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]
The initial height is [tex]h(0) = 15[/tex], hence, one turn is completed when h(t) = 15.
[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]
[tex]15 = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]
[tex]\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}[/tex]
[tex]\cos{\left(\frac{\pi}{20}t\right)} = 1[/tex]
The length of one turn is of [tex]2\pi[/tex], and [tex]\cos{(2\pi)} = 1[/tex], hence, the solution is found according to:
[tex]\frac{\pi}{20}t = 2\pi[/tex]
[tex]t = \frac{40\pi}{\pi}[/tex]
[tex]t = 40[/tex]
It takes 40 seconds to complete one turn.
You can learn more about trigonometric equations at https://brainly.com/question/24680641
Answer:
D. 40 seconds!! Props to guy above.
f(x)=3x-5, f(2r)
help or i might have to retake this class next semester AHHHH
Answer:
f(2r) 6r - 5
Step-by-step explanation:
Substitute x = 2r into f(x) , that is
f(2r) = 3(2r) - 5 = 6r - 5
hehehehehehhhehehe help
Answer:
Y=2
Step-by-step explanation:
If x=3 we can see that every two lines is 1 number up then the last
same for y access. Y=-2
Answer:
-2
Step-by-step explanation:
help pls the image below represents ____
Answer:
I think it's a Box Plot, hope this helps
A polygon with area 10 square units is dilated by a scale factor of k. Find the area of the image for each value of k.
a k=4
square units
b. k=1.5
square units
ck=1
square units
Answer:
a = 160 square units
Step-by-step explanation:
The areas of the image are 160, 22.5 and 10 square units
The area of the polygon is given as:
A =10 square unit
The area of the image of the polygon is calculated as:
[tex]A_k = A * k^2[/tex]
When k = 4, we have:
[tex]A_4 = 10 * 4^2[/tex]
[tex]A_4 = 160[/tex]
When k = 1.5, we have:
[tex]A_{1.5} = 10 * 1.5^2[/tex]
[tex]A_{1.5} = 22.5[/tex]
When k = 1, we have:
[tex]A_{1} = 10 * 1^2[/tex]
[tex]A_{1} =10[/tex]
Hence, the areas of the image are 160, 22.5 and 10 square units
Read more about dilation at:
https://brainly.com/question/3457976
Please help me :)
ty ty
Answer:
the slope is stepper and the line is shifted up
Can someone pls help me
Answer:
6π Km
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{120}{360}[/tex]
= 2π × 9 × [tex]\frac{1}{3}[/tex]
= 18π × [tex]\frac{1}{3}[/tex]
= 6π Km ← exact value
Term insurance has no value as an investment and is the most expensive type of life insurance.
True
Or false
Answer:
False
Step-by-step explanation:
It is true that term insurance has no value as an investment. However, it is the least expensive type of life insurance. The compound statement is false, because one of the elements of the statement is false.
Answer:
false
Step-by-step explanation:
29. ERROR ANALYSIS Describe and correct the error in
rewriting the expression in rational exponent form.
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd
For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x
[tex]\huge \bf༆ Answer ༄[/tex]
The equivalent expressions are ~
Question : 1 [tex] \sf \: - 3(7 + 5g)[/tex][tex] \sf - 21 - 15g[/tex][tex] \sf- 15g - 21[/tex]Question : 2[tex] \sf \:( x + 7) + 3y[/tex][tex] \sf \: x + 7 + 3y[/tex][tex] \sf \: x + 3y + 7[/tex]Question : 3 [tex] \sf \dfrac{2}{9} - \dfrac{1}{5x} [/tex][tex] \sf \dfrac{10x - 9}{45x} [/tex]9 5×
10× - 945×
How to slove this equation in simple form -9(8v-2v)+10b - (100v+6)
Answer:
- 154v + 10b - 6
Step-by-step explanation:
-54v + 10b - 100v - 6
-154v + 10b - 6
The difference between three times a number and seven is twenty. What is the number?
20
7
13
3
O9
O 27
Answer:
the number is 9
Step-by-step explanation:
hope this helps
solve similar triangles (advanced)
Step-by-step explanation:
since m<CBA = m<EDA = 90
, < A is a common angle
then : triangle EDA is similar to triangle CBA
then : 11/3+X = 2/3
33=6+2X
27=2X
X=13.5
What is 1/3 of 9/5 please help.
What’s the difference between an event and in event handler
Answer:
There’s a subtle, but important difference between these 2 methods of handling events. If you’ll use the first method, event handlers, the difference is that if you add two event handlers for the same button click, the second event handler will overwrite the first and only that event will trigger
Step-by-step explanation:
i hope this answer your questions
1. Find the surface area of the pyramid to the nearest whole number.
12 m
6 m
A rectangular sticker has an area of 50 square centimeters. Its perimeter is 30 centimeters. What are the dimensions of the sticker?
___centimeters by ____ centimeters
Length + width = 1/2 the perimeter:30/2 = 15
Area = length x width
List the factors of 50: 1, 2, 5, 10, 25, 50.
Find the two factors that when added together equal 15:
Dimensions are 5 cm by 10 cm.
See attachments for answer and math work.
Elsa makes a poster that is 1.5 m tall. Greg makes a poster that is 96 cm tall. Who makes a taller poster?
Answer:
dont mind me just grinding for points
Step-by-step explanation:
The mass of Earth is 5.97x10^24 kg and the mass of Moon in 7.35x10^22 kg. What is the total mass? Thank you in advance
Answer:
Total mass = 5.97 × 1024 kg + 7.35 × 1022 kg. = 604.35 × 1022 kg.
Step-by-step explanation:
What is a theme of the poem "Dream Variations" by Langston Hughes?
It is life's desire to live freely and expressively without boundaries.
People have the power within to make a fresh start in life.
One should spend less time living in the past and enjoy the present.
It is important to find balance between work and rest.
One theme of the poem Dream variations is the desire to live freely and expressively (option A).
In poems and other literary texts, themes are deep ideas about life that are indirectly expressed by the author. In the case of the poem "Dream variations", the author Langhtons Hughes refers to life and death.
About life, Hughes expresses the importance of living life at its fullest before death occurs. This desire to live freely and expressively is shown in verses such as:
"To fling my arms wideIn the face of the sun"
or in
"To whirl and to dance"
Learn more about poem in: https://brainly.com/question/9527212
Answer:
Step-by-step explanation:
I took the quiz :)
I think this is the last thing I need help with, but I REALLY need this done to raise my grade!!! I'll mark brainliest!!
Answer:
Step-by-step explanation: there you go
Calculate the measure of angle ADB if angle ACB is 50 degrees.
Answer:
ADB=50°
Step-by-step explanation:
Angles subtended by the same segment are equal
Therefore,the angle ∠[tex]ADB=40[/tex] degree.
What are the angles?
An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points.
Here given that ∠[tex]ACB=50[/tex] degree and we know alternates angles are equal so ∠[tex]CAD=50[/tex] degree.
And [tex]AD[/tex] is parallel to [tex]BC[/tex].
Therefore, the diagonals of a rhombus are at right angled.
So, ∠[tex]AOD=90[/tex] degree
Now, In Δ[tex]AOD[/tex],
∠[tex]ADO+[/tex]∠[tex]DAO+[/tex]∠[tex]AOD=180[/tex] degree
∠[tex]ADO+50+90=180[/tex]
∠[tex]ADO=+140=180[/tex]
∠[tex]ADO=180-140[/tex]
∠[tex]ADO=40[/tex] degree
or
∠[tex]ADB=40[/tex] degree.
Hence, the angle ∠[tex]ADB=40[/tex] degree.
To know more about the angles
https://brainly.com/question/15277238
#SPJ2
if a necklace was on discount 10% and the original price was $20 what was the amount of discount?
Answer:
10$
Step-by-step explanation:
dollars hope it helps
Answer:
its 10$
Step-by-step explanation:
Disney is hiring new employees. They currently employ 2,550 workers and want to hire
10 new workers per day. How many days will it take them to have employed 5,000
workers?
Answer:
I think it is 500
Step-by-step explanation:
5000 / 10 = 500
solve each equation by factoring 12p^2+78p-151= -7
Answer:
Ok so im not to sure but I think its 40.62 but i could be wrong since it was worded odd
Step-by-step explanation
Josiah, Nathaniel and Walden work 7,5, and 3 days respectively on a particular job. If the payment for the job is $216.00, how much did Josiah receive?
$100.80
$72.00
$43.20
$23.20
What is the measure of 2C?
30
30
А
30
O A. 60°
O B. 90°
O C. Cannot be determined
D. 30°
Answer:
60
Step-by-step explanation:
All sides are equal, so all angles are equal.
All angles equal 60 because 180 ÷ 3 = 60
I hope this helps!!
Carl placed $2,600 in a savings account that compounds interest annually at a rate of 0.5%. How much will he have in the account after 7 years
Answer:
$2,691
Step-by-step explanation:
Interest (I) = Principal x Rate x Time
Total Amount (A) = Interest + Principal
I = 2600(.005)(7)
I = 91
A = 2600 + 91
A = 2691
Help help help math math
Can someone please help me with this and tell me the points?
Answer:
Graph: Refer to attached image
Solution: (-5,-3)
Step-by-step explanation:
First graph to two equations.
Refer to the image attached to see what the equations would look like when graphed.
Wherever they intersect is the solution.
They intersect at (-5,-3) therefore (-5,-3) is the solution to the system of equations