Answer:
D
Step-by-step explanation:
Answer:
D would be the answer:) hope this helps
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.
angle A and angle B are supplementary angles. If m∠=(4x - 30) degree and m∠B =(4x-14) degree, then find the measure of ∠A
Answer:
<A = 26°
Step-by-step explanation:
4x - 30 + 4x - 14 = 180
Supplementary angles sum together to make 180
=> 4x + 4x = 16x
=> -30-14 = -44
16x = 180+44
16x = 224
x = 224/16
x = 14°
4(14) - 30 = 26°
Caleb scores 3 more than 2 times the number of points that Brian scores. Create an expression that represents the number of points Caleb scores if Brian scores r points
Answer:
r = (x·2) + 3
Step-by-step explanation:
which of the following rational functions is graphed below? A f(x) = x/(x+5)(x-2) B f(x)= x-2/x(x+5) C f(x)= (x+5)(x-2)/x D f(x)= 1/(x+5)(x-2)
Answer:
A f(x) = x/((x+5)(x-2))
Step-by-step explanation:
The vertical asymptotes at +2 and -5 indicate that (x -(+2)) and (x -(-5)) are factors of the denominator.
The zero at x=0 indicates (x -0) is a factor of the numerator.
The simplest function that will give a graph like this is ...
f(x) = x/((x +5)(x -2))
Make t the subject of the formula q = 4+
2 - 4
t 3
Answer is given below in picture
I hope it helps.
I really need help!
If two noncollinear segments on a coordinate plane have a slope of 3, what can you conclude?
Answer:
Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.
Step-by-step explanation:
Trisha is saving $25 a week to go on a vacation. She determines that she will need $350 for the vacation,but she also wants to have over $100 left in her bank account after the trip. How many weeks should Trisha save?
Two more than a certain number is 15 less than the product of 7/8 and the number. I NEED THE EQUATION AND SOLUTION
Answer:
x + 2 = 7/8 x -15
x = -136
Step-by-step explanation:
Two more than a certain number is 15 less than the product of 7/8 and the number.
Let x be the 'certain number'
x + 2 = 7/8 x -15
x = 7/8 x - 17
1/8 x = -17
x = -136
Answer:
Step-by-step explanation:
the answer is -136
I REALLY NEED YOUR HELP DUE AT THE END OF CLASS.
Answer:
Type 2
Step-by-step explanation:
Equation of the line is:
y=2
slope is 0
need assistance with algebra 2
Answer:
A. Quadratic, degree 2
Step-by-step explanation:
The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.
1)
Find the value of x.
x=6
Explanation:
The opposite side is 35, and the sides are still the same length, but on the side it has +5, so when you multiply 5 by 6 you'll get 30. 6×5=30
30+5=35.
Therefore,
x is going to have to be 6.
Which equation shows the correct factors for the quadratic equation 24x2 - 15 = 54x?
3x (8x + 5) = 54x
3 (2x + 5) (4x - 1) = 0
3 (8x2 - 5) = 54x
3(2x - 5) (4x + 1) = 0
3(2x - 5)(4x - 3) = 0
Answer:24x^2_54x_15=0
(12X +3 ) ( 2X _5 ) . = O
12x +3 =0
X= - 1/4
or
2x _ 5=0
X = 5/ 2
What is the range of the relation?
Answer:b is the answer
Step-by-step explanation:
What is an expression that represents 5 times the value of Y plus 4
Answer:
5y+4
Step-by-step explanation:
Answer:
2 plus 5 times n
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
What are values of a and b so the system of equations shown has no solutions?
y=7x+b
y=ax+4
Answer: a is 7 b is 4
Step-by-step explanation: to get an equation with no solution the equation has to be the same so if a is 7 and b is 4 this will show no solution
Explain WHAT WOULD HAPPEN TO motion IF friction DID NDT EXIST.
Answer:
If friction did not exist, it would be hard for us to slow down in running, or putting breaks on a car, and more!
If friction did not exist, your car will slide down the road even if you try your best to put the brakes on a car. Friction is a very important force to slow down things that are moving very fast
Step-by-step explanation:
Hoped this helped.
[tex]GeniusUser[/tex]
yen said the additive inverse of 8 is -8 becuase positive 8 and negative 8 added together equals zero do you agree? why or why not
Answer:
I do agree
Step by Step Explanation:
You can try it out, just draw a number line with positive and negative integers and set your pencil on 8 and go back 8 places since it is -8 and that equals 0.
Will Give Brainliest
Answer:
x = 19
Step-by-step explanation:
3x - 1 = 6 (x - 1)
I hope this helps!
Opposite angles are equal
[tex]\\ \sf\longmapsto 3x-3=6(x-10)[/tex]
[tex]\\ \sf\longmapsto 3x-3=6x-60[/tex]
[tex]\\ \sf\longmapsto 3x-6x=-60+3[/tex]
[tex]\\ \sf\longmapsto -3x=-57[/tex]
[tex]\\ \sf\longmapsto x=19[/tex]
Expand the following expressions and write in standard form. Show your work.
a) (3x + 2)(1 - 4x)
b) (x - 5)^2(2x + 7)
what is .072 divided by 345.00
Answer:
Step-by-step explanation: if its .072
or if it 0.72/345.00
0.00208695652
Use the original price and the markdown to find the retail price.
Original price: $130; Markdown: 28%
Answer:
The retail price would be $93.6
Step-by-step explanation:
This is because you can divide 130 by 100 to find 1% of such, and you'll get 1.3. Then, multiply 1.3 by 72, which makes 72% of the original price, to come find your answer, $93.6. Hope this helps!
PLEASE HELP GIVING POINTS
Somebody please help
Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line.
HELP PLS ! How many solutions does the following system of equations have?
Answer:
A - infinite
Step-by-step explanation:
The 2 lines are on top of each other making any point on either line a solution.
Hope that helps
Cereal is on sale this week. Is it a better buy to get the 10-ounce box for
$1.76 or the 14-ounce box for $2.42?
7/14 in its simplist form
Answer:
1/2
Step-by-step explanation:
please help me please
Answer:
x+2y = 5
2x+y=4
->
x+3y = 5
6x-y = 11
->
2x+y=10
x-3y=-2
Step-by-step explanation:
solutions of x and y for each system of equation can be solved by graphing
graph the two equations, and the intercepts of the two equations would be the x and y-values, aka the answers
if there are no intercepts, the equations have no solution
hello guys .. can y’all help me with this question and explain it to me ? please and thank you:) 25 POINTS !
Answer:
B, 5.4
Step-by-step explanation:
BC = 36
FE = 7.2
AB = 27
x = Unknown value
They are proportional so...
[tex]\frac{36}{27} =\frac{7.2}{x}[/tex]
x = 5.4
The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0. 75 cosine (StartFraction pi Over 30 EndFraction (t minus 15)) 8. Which number (from 1 to 12) is the minute hand pointing to at t = 0? 3 6 9 12.
Answer:
9
Step-by-step explanation:
Answer:
Step-by-step explanation:
Chris bought 25.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. How many liters of gasoline did Chris buy?
Answer:
Chris bought approximately 96.52 liters of gasoline.
Step-by-step explanation:
Since the problem states that every gallon of gasoline has approximately 3.8 liters, simply multiply 3.8 by the number of gallons given (25.4).
25.4 * 3.8 = 96.52
