Answer:
y = -190 cos(π t / 120) + 195
Step-by-step explanation:
General form of a sinusoidal function: y = A cos(Bt - C) + D
Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
Your final function will be:
y = -190 cos(π t / 120) + 195
What is the measure of ZYOZ, given that WXYZ?
W
X
105°
A. 75°
B. 255°
C. 95°
D. 105°
plss helpp
Answer:
same 105° option D is correct
The art department at a school sold 323 tickets
to an art show, for a total of $790. Students paid
$2 for tickets, and non-students paid $3.50. The
principal asked how many non-students
attended the art show.
Answer:
96 students
Step-by-step explanation:
x + y = 323
2x + 3.5y = 790
=> by elimination
2x+3.5y=790
2x+ 2y = 646
__________-
1.5y = 144
y = 144/1.5 = 96
The system of equations are
x + y = 323
2x + 3.5y = 790
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the system of equations be A and B
Now , the number of tickets sold = 323 tickets
Let the number of students be = x
Let the number of non students = y
So , x + y = 323 be equation (1)
The cost for students = $ 2
The cost for non students = $ 3.50
The total cost of all the tickets = $ 790
So , 2x + 3.5y = 790 be equation (2)
On simplifying the equations , we get
Multiply equation (1) by 2 , we get
2x + 2y = 646 be equation (3)
Subtracting equation (3) from equation (4) , we get
1.5y = 144
Divide by 1.5 on both sides of the equation , we get
y = 96
So , the number of non students be y = 96
Substituting the values of y in equation (1) , we get
x = 323 - 96 = 227 students
Now , the graph of the equations is plotted and the point of intersection is the solution ( 227 , 96 )
Hence , the equations are solved
To learn more about equations click :
https://brainly.com/question/19297665
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Whats 9+10?? HELPPPPP
Answer:
19
Step-by-step explanation:
9+10=19
add the ones place (0+9) then the tens place (1+0).
Use the distributive property to expand each expression on 3(u-6). show work pls
3(u-6) = 3u-18
Step-by-step explanation:
The question is 3(u-6).
We simply multiply 3*u=3u and 3*6=18, so we will get
3(u-6) = 3u-18
What is the amplitude of the graph of y = 2 sin (4x – 1) + 3?
A. 1
B. 3
C. 2
D. 4
Answer: 2 is the answer
Step-by-step explanation:
If a^1/2 = 3, and b^1/3 = 2, what must be true of the value of a/b?
Shanice read a book that was 123 pages long. The first week, she read 67 pages. Then, she read the rest of the book over the next 7 days. Shanice read the same number of pages each of the 7 days. Over the 7 days, how many pages did she read each day?
Answer:
She read 8 pages each day
Step-by-step explanation:
123 - 67 = 56
56/7 = 8
PLEASE GIVE BRAINLIEST THANK YOU
Answer:
8 pages
Step-by-step explanation:
Help pls Help pls Help pls Help pls Help pls
Answer: The ansswer is B
Step-by-step explanation:
Answer: The answer is D
Step-by-step explanation: hope this helps
Rita measured a house and made a scale drawing. She used the scale 1 millimeter : 3 meters. If the garage is 3 millimeters wide in the drawing, how wide is the actual garage?
Answer:
9 Meters
Step-by-step explanation:
If 1 mm is the scale used for 3 meters and the garage in the scale model is 3 mm wide 3*3=9.
in a hostel 50 students have food enough for 32 days. how many students should be leave the hostel so that the food is enough for 14 days.
Answer:
22 days
Step-by-step explanation:
Given data
Number of students= 50
Number of days= 32days
We want to find the number of students that can have food for 14days
If 50 students will have food for 32 days
x students will have food for 14 days
cross multiply
32*x= 14*50
32x= 700
x= 700/32
x=21.8
Hence 14 students will have for 22 days
Evaluate 4 - 2 f when f =1
Answer:2
Step-by-step explanation:because 2f= 2 so 4-2=2 i am so sorry if its wrong
Answer:
2
Step-by-step explanation:
4-2f
4-2(1)
4-2=
2
round to the nearest 10th
Answer:
look below
Step-by-step explanation:
To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
What is the slope?
m= 1/2
m=2/1
m= -1/2
m= -2/1
Answer:
m = 2/1
Step-by-step explanation:
Slope is rise over run
Looking at the graph we know the slope is positive since it goes up from left to right
We have a point at (2,0)
We have another point at (3,2)
m = (y2-y1)/(x2-x1)
= (2-0)/(3-2)
= 2/1
B
13 ft.
5 ft.
A
C
12 ft.
Find the value of Tan (B) =
Answer:
5/12
Since you calculate tan ratios as tan(B)=opposite side/ adjacent side
Answer:
5
Step-by-step explanation: pls give me brainliest
if ratio of cost price to selling price is 5 :7 ,find the profit percentage,..... tell me
Answer:
40%
Step-by-step explanation:
7 - 5 = 2
100% × [tex]\frac{2}{5}[/tex] = 40%
Lilly bought strawberries and blueberries for a picnic. Strawberries were on sale for $2.50 per pound, and blueberries were on sale for $4.00 per pound. She bought a total of 8 pounds of berries and spent $26.75 altogether. How many pounds of strawberries and blueberries did she purchase for the picnic?
A. 4.0 pounds of strawberries and 1.6 pounds of blueberries
B. 4.5 pounds of strawberries and 3.5 pounds of blueberries
C. 1.6 pounds of strawberries and 4.0 pounds of blueberries
D. 3.5 pounds of strawberries and 4.5 pounds of blueberries
Answer: a
Step-by-step explanation:pls brainly me
If the cost of air freight insurance is
$2.25 per $100, what is the cost of
insuring a case of liquor valued at $600
Answer:
13.5
Step-by-step explanation:
Sandra has a bag of animal cookies. The bag contains the cookies below. What is the probability that Sandra chooses a tiger cookie first, eats it, and then
selects an elephant cookie?
Answer:
3/26
Step-by-step explanation:
Add 9+9+5+3 = 26
Total of 3 Tiger Cookies
3/26
A cone and cylinder have the same type of base which is a rectangle? A) True. B) False
Answer:
B) Falce
Step-by-step explanation:
Cylinder base is circle
Nancy is going to do some painting in her room. The paint she is using costs $12.34 per gallon. It measures 11 feet by 13 feet and has an 8-foot tall ceiling. What is the total area she will paint
Answer: [tex]527\ ft^2[/tex]
Step-by-step explanation:
Given
Cost of paint is [tex]\$12.34\ \text{per gallon}[/tex]
Dimension of room is [tex]11\times 13\times 8\ ft^3[/tex]
There are five side of wall to be painted leaving only the floor
Area is given by
[tex]\Rightarrow 2[8\times 11+8\times 13]+11\times 13\\\Rightarrow 2\times 8[24]+143\\\Rightarrow 384+143\\\Rightarrow 527\ ft^2[/tex]
In a survey of 100 students of Surkhet, 65 like to play football, 55 like
to play cricket and 35 like to play both football as well as cricket. How
many students did not like both events? Illustrate the above information
in Venn diagram.
Answer:
15 students do not like either sport
Step-by-step explanation:
See the attached image.
Step 1: put 35 in the "like to play both" (intersection) area.
Step 2: subtract those 35 from the 65 football players. 65 - 35 = 30 players like football but not cricket. Put 35 in the football but not cricket area.
Step 3: subtract 35 from the 55 cricket players. 55 - 35 = 20 players like cricket but not football. Put 20 in the cricket but not football area.
Step 4: Add the 30 + 35 + 20 = 85 together. So 85 players are accounted for as players of one or more sports.
Step 5: 100 - 85 = 15 must be the number of students who did not like either sport. Put 15 in the area outside both circles.
help fr now i am in danger x_x
Answer:
B, it's a reflection over the y-axis
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It's B because all your doing is flipping the image over the y-axis
What is the length of the hypotenuse?
Answer:
h=15feet.
Step-by-step explanation:
using Pythagoras theorem
h²=p²+b²
h²=12²+9²h²=144+81h=√225h=15feet.hope it helps.
stay safe healthy and happy.[tex]\huge\bold{To\:find:}[/tex]
✎ The length of the hypotenuse.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢ ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢ \sqrt{225 \: {ft}^{2} } = c \\ ⇢ \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
what is the value of (-35) divided by (5/7)?
Answer:
-49
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
how is energy involved in the process of mountains shaping the earths surface?
Answer:
movement in the tectonic plates in the crust, wind and water erosion, and deposition shapes the earth's surface
Step-by-step explanation:
Answer:
Plates at our planet's surface move because of the intense heat in the Earth's core that causes molten rock in the mantle layer to move. It moves in a pattern called a convection cell that forms when warm material rises, cools, and eventually sink down. As the cooled material sinks down, it is warmed and rises again.
Step-by-step explanation:
(windows2universe.com) source
What is the understood index of
[tex] \sqrt{9} [/tex]
[tex]_____________________________________[/tex]
ANSWER:[tex]\tt \sqrt{9} \\ = \tt \sqrt{ {3}^{2} } \\ = \large\boxed{\tt{\green{3}}}[/tex]
Correct me if im wrong because im not good in english guys T^T[tex]_____________________________________[/tex]
꧁____YunaKoharuChan____꧂ANSWER
PLEASE
NOW
PLS
Answer:
7. x = 38°
8. y = 65°
9. 261° and 81°
Step-by-step explanation:
Finding x:
You can make an equality with (2x +5) and (3x +33) because the value of these angles are the same, so:
2x +5 = 3x -33
2x - 3x = -33 -5
-x = -38
x = 38°
Finding y:
You can find the value of y making another equally, but this time you have to sum (4y -1) with (3x - 33) or (2x +5) and equal it with 180°:
(4y -1)+(2x +5) = 180
4y -1 +2x +5 = 180
4y +2x +4 = 180
We know from the question 7 that x is 38°:
4y +2•(38) +4 = 180
4y - 76 +4 = 180
4y - 80 = 180
4y = 180 + 80
4y = 260
y = 260/4
y = 65
Finding the value of the angles:
You just have to put the value of x and y in their places and make the calculations:
4•65 +1 = 261°
3•(38) -33 = 81°
Jordan is preparing serving of baby carrots. He has 96 baby carrots, each serving is 12 carats, how many shearings can Jordan prepared will Jordan have any cares left over while why not.
Answer: See explanation
Step-by-step explanation:
Since we given the information that Jordan is preparing serving of baby carrots and that he has 96 baby carrots, while each serving is 12 carats.
The number of shearings that Jordan can prepare will be:
= 96 / 12
= 8
From the above calculation, there won't be any carrots left since we do not have a remainder.
help pleasee!!!! math
Answer:
its 90
m(PZR)=PR )
Hopefully its helpful and correct
The population of one type of fish, P.,, and another type of fish, P2, are modeled by the equations P1 = 10.000) and P2 = 1000(3) Where
I is the time in years.
Which expression describes the relationship between the populations P; and P2 in 3 years?
O A P2 = 1/2
O B. P2 = 1 / 1
OC P2 = 2 P
OD. P₂ = 1 / 2
OE P2 = 720P