Answer:
5/9
Step-by-step explanation:
dividing (5/12) by (3/4) we get,
(5/12) ÷ (3/4)
(5/12) × (4/3)
(5 /3 * 3)
(5/9) final answer
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.
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:
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.
Expand the following expressions and write in standard form. Show your work.
a) (3x + 2)(1 - 4x)
b) (x - 5)^2(2x + 7)
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
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
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.
Please answer my question
Answer:
y=14x
Step-by-step explanation:
PLEASE HELP GIVING POINTS
Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.
Step-by-step explanation:
x = number of hours A
y = number of hours B
x + y = 23
5.7x + 7.1y = 143.7
from the first equation we get
x = 23 - y
this we use in the second
5.7×(23 - y) + 7.1y = 143.7
131.1 - 5.7y + 7.1y = 143.7
1.4y = 12.6
y = 12.6/1.4 = 9
x = 23 - y = 23 - 9 = 14
she worked 14 hours on job A and 9 hours on job B.
what is .072 divided by 345.00
Answer:
Step-by-step explanation: if its .072
or if it 0.72/345.00
0.00208695652
help me please
If an item is 40% off with an additional 20% off on top of the sale price, what is the percent savings?
Answer: 60%
Step-by-step explanation: if the question is saying the item was already 40% an ADDITIONAL (adding) 20% will make the item 60% off meaning your percentage of savings is 60%
Please Help ASAP!!
Full work shown gets brainliest!!
Answer:
LR = 17
Step-by-step explanation:
RP is one section of LP (the whole section). Since R is the midpoint of the segment, RP = LR. Hope this helps!
basic help :(
its math
Answer:
the slope or rate of change is 8 over 6 or 4 over 3 4/3
Answer:
the slope or rate of change is 8 over 6 or 4 over 3 4/3
Step-by-step explanation:
Which variable is most important in this problem? Sal ordered 20 T-shirts for the graphic design club. After tax, the cost of each T-shirt was $25. How much did the T-shirts cost in all?
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°
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]
Make t the subject of the formula q = 4+
2 - 4
t 3
Answer is given below in picture
I hope it helps.
7/14 in its simplist form
Answer:
1/2
Step-by-step explanation:
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
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
In triangle QRS the measure of angle RSQ is 50 degrees , and the measure of angle QRS is 37 degrees. What is the measure of angle SQR in degrees?
Answer:
[tex] < rsq + < qrs + sqr = 180 \\ 50 + 37 + < sqr = 180 \\ < sqr = 180 - (50 + 37) \\ < sqr = 180 - 87 \\ = 93[/tex]
I hope it helps you
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?
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
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?
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:
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:
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.
4. A certain bacteria strain of E. coli divides every 30 minutes. If 500 bacteria are presen
in the culture to start, how many are in the culture after 3 hours?
Answer:
assuming its dividing by two, 7.8135
Step-by-step explanation:
if you're dividing by something else the answer will be different. hope this helps
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: