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.
23. Island cruises booked a group of vacationers on a cruise that has a fixed cost of $39,600. Later, 100 more
people join the cruise, and the average cost decreases by $275 per person. How many persons were booked
originally?
The difference of 2 times a number and 3/4 is 1/2
Cole had 20 dollars to spend on 3 gifts. He spent 11 9 /10 dollars on gift A and 5 3 /5 dollars on gift B. How much money did he have left for gift C?
Answer:
$2.50
Step-by-step explanation:
11 9/10 + 5 6/10 = 16 15/10 or 16 + 1.50 = 17.50
20 - 17.50 = 2.50
Let w = 4. Enter >, <, or = to compare the expressions. 3w² + 1 10w + 8
Answer: ≥ without the line on the bottom.
Step-by-step explanation:
I am assuming the expression you are talking about are
[tex]3w^{2} +1[/tex] and [tex]10w+8[/tex].
If we were to replace w with 4 and calculate, we will find the answer:
[tex]3*4^{2} +1=3*16+1=48+1=49[/tex]
[tex]10*4+8=40+8=48[/tex]
Since the first expression, [tex]3w^{2} +1[/tex], is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.
A package of 3 pairs of insulated socks costs $23.07 . What is the unit price of the pairs of socks
The answer would be 23.07/3 = 23 is $7.69
what are the answers to the equation please get back to me
Answer:
A
Step-by-step explanation:
Since you are multiplying -2 and 12, you can put them in any order as long as you get - 24/5
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:
If you were to pour marbles into a cup of water, you would make a __________.
A. heterogeneous
B. homogeneous
Answer:
heterogeneous is the answer
Cory has $24 more than twice as much as Stan. Together they have $150. How much money does each have?
Stan has $50 and Cory has $74
Stan has $42 and Cory has $108
Stan has $63 and Cory has $87
Stan has $108 and Cory has $42
Answer: B Stan has $42 and Cory has $108.
Step-by-step explanation:
The awnser is Stan has $42 and Cory has $108 and $108 + $42 = $150.
CAN YOU PLEASE MARK ME BRAINLY.
A hot air balloon went from an elevation of 4,060 feet to an elevation of 3,120 feet in 40 minutes. What was its rate of descent?
Answer:
23.5 feet per minute is the rate
Your yard is a mess, and you decide to hire a landscaper. The garden pros charges 50$ consultation fee plus 30$ per hour for the actual work. What is the total cost if your yard takes 5 hour’s to fix up
Answer:
$200
Step-by-step explanation:
$50 consutation + $150 5 hour fee.
=$200
Metallic blocks x,y, and z were placed in the graduates a, b, c. The initial volume of liquid in the equal sized graduates was 40 ml. Which block was placed in which graduate.
Answer:
hope it helps B-Y, C-Z, A-X
Eva is working two summer jobs, making $16 per hour tutoring and $8 per hour clearing tables. Last week Eva worked 3 times as many hours clearing tables as she worked hours tutoring hours and earned a total of $80. Graphically solve a system of equations in order to determine the number of hours Eva worked tutoring last week, x,x, and the number of hours Eva worked clearing tables last week, yy.
Answer:
48 and 32 6 hours clearing tables and 2 hours tutoring
Step-by-step explanation:
we can rewrite this as a fraction. we will use 1/10s because 80 can be divided by 8 which is in the problem. we then have to find out what two numbers add up to 8 but one is 3 times the other. 6 and 2 fit into this problem so we plug it into the equation and we write it as this 6x+4x=80 where x is 8. we get 48 and 32.
ways to write 25 percent of n,
Answer:
0.25n = 25/100n = n/4
Step-by-step explanation:
25% of n = ...
0.25n = 25/100n = n/4
and any of an infinite number of equivalent expressions.
Answer one question. Thanks
i. (x+y) − (x−y) is a ___________ expression.
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆TOP and ∆ZAP
[tex]\because\sf\begin{cases}\sf <O\cong <A(Given)\\ \sf TO\cong AZ(Given)\\ \sf <TPO\cong <ZPA(Opposite angles)\end{cases}[/tex]
Hence
∆TOP[tex]\cong[/tex]∆ZPA(Side-Angle-Side)
Step-by-step explanation:
Statement Reason
∠O ≅ ∠A Given
TO ≅ AZ Given
∠OPT and ∠ZPA are vertical angles Vertical angles theorem
∠OPT ≅ ∠ZPA Definition of vertical angles
ΔTOP ≅ ΔZAP Angle - angle -side AAS postulate
Please I really need help (50 points)
Provide the missing statements and reasons for the following proof.
Answer:
PROOF FOR THE "PROVE" SECTION:
As linear pairs, angle 2 and 3 are supplementary to each other. Angle 1 is equal to angle 2, as they are both same-side interior angles. Therefore, angle 1 and angle 3 are also supplementary.
Filling in the missing blanks:
S1. Angle 1, Angle 2, Angle 3
S2. Angle 1 and Angle 2
R3. Congruent (___)
R5. supplementary angles
S7. Angle 1 = Angle 2, so Angle 1 can be substitued in for Angle 2 in any equation, and Angle 2 can be substitued for Angle 1 in any equation as well (they can replace each other, like x=y & y=x or a=b & b=a)
Hope this helped! Have a great day (pls mark brainliest)!!
Please help.. I am stuck !
5x – 9 = 3x + 7
Solve for x
Answer:
Solving for x
5x - 9 = 3x + 7
subtract 3x from both sides
-3x -3x
2x - 9 = 7
get rid of constants by adding 9 on both sides since addition is the inverse operation of subtraction
+9 +9
2x = 16
divide by 2 since that is the inverse operation of multiplication
/2 /2
x = 8
The solution for ''x'' for the expression ( 5x – 9 = 3x + 7
What is an expression?Expressions can be evaluated, meaning that they can be simplified to a single value. The value of an expression depends on the values of any variables or numbers within the expression.
To solve for x in equation 5x - 9 = 3x + 7, we want to isolate x on one side of the equation. We can do this by performing the same operation on both sides of the equation, in order to keep the equation balanced.
First, we can simplify both sides of the equation by combining like terms:
5x - 9 = 3x + 7
2x - 9 = 7
Next, we can add 9 to both sides of the equation to isolate the variable term:
2x = 16
Finally, we can divide both sides of the equation by 2 to get the value of x:
x = 8
Therefore, the solution to the equation 5x - 9 = 3x + 7 is x = 8.
To know more about an expression follow
https://brainly.com/question/25968875
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Please help, its Geometry
Hope it helps just read it and type it in XD
Aaron travels a distance of 680 miles in 8 hours by train. What is the speed of the train?
A.
75 miles/hour
B.
80 miles/hour
C.
85 miles/hour
D.
90 miles/hour
Answer:
C 85 miles/hour
Step-by-step explanation:
680 / 8 = 85
[tex]\huge \dag \sf{Answer \: it}[/tex]
Refer to attachment.
Note: Spams not allowed.
Don't Copy
If you don't know the answer don't answer
Need Answer with explanation.
Thank You!
Answer:
[tex]option \: (b) \: is \: ur \: answer \: to \: the \: question \: [/tex]
[tex]to \: know \: the \: answer \: with \: proof[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
[tex]f = \frac{rn}{1 - r} [/tex]
[tex]\huge \tt༆ Answer ༄[/tex]
The required expression is ~ B
[tex] \boxed{ \sf \: F = \dfrac{ RN }{ 1 - R} }[/tex]
Refer to the attachment for Solution ~
Solve this system of equations using the Substitution method.
3x + y = -2
y = 2x + 3
Answer:
Step-by-step explanation:
we see that y = -3x-3
substitute that into the other equation to get
-3x-3 = 2x+7
-5x = 10
x = -2
so, y = -3(-2)-3 = 3
check to make sure (-2,3) solves both equations.
PLEASE HELP whoever answers all of them and first i’m giving brainliest.
Answer:
1. To solve a one-variable equation, it may be necessary to first multiply by using the Distributive Property
2. The next step is to combine like terms as needed.
3. Then solve for the variable by applying inverse operations.
4. If solving lead to a true equation, then the equation has infinitely many solutions.
5. if solving leads to an untrue equation, then the equation has no solution.
ABCD is a rectangle AB =15 centimeters AC = 25 cm Find The length of BC
Answer:
the answer is explained below (tap on the photo to view it fully)
My question that I need help on
Answer:
Step-by-step explanation:
pls help this is homework
Answer:
ans 144
Step-by-step explanation:
hope this helps
Answer:
144
Step-by-step explanation:
First we can start by replacing x with the value (2)
[tex]120 + 18(2) - 3 {(2)}^{2} [/tex]
[tex]120 + 36 - 3(4)[/tex]
[tex]120 + 36 - 12[/tex]
Therefore the final answer is 144
Find the LCM of the numbers.
3,16,20
Answer:
240
Step-by-step explanation:
find multiples of 3 16 and 20 and multiply the multiples . you will get 240 .
i hop it helps you ❤
A cat gave birth to 3 kittens who each had a different mass between 147 and 159 g. Then the cat gave birth to a 4th kitten with the mass of 57 g. How will the birth of the 4th kitten affect the mean and median?