30 pts ! The height of the Ferris wheel in feet can be represented by the function 50 cos (π/15(x-10))+52 with time in x seconds. When does the height of 80 feet occur on the interval 0

30 Pts ! The Height Of The Ferris Wheel In Feet Can Be Represented By The Function 50 Cos (/15(x-10))+52

Answers

Answer 1

The time that the  height of 80 feet occur on the interval 0 is 4.662 seconds.

Given:

50 cos (π/15(x-10))+52

Height=80 feet

Time= x second

Hence:

height (h)= 50 cos [pie(x - 10 )/15 ] + 52

80 = 50 cos [pie( x - 10 )/15 ]+ 52

Collect like terms

80 - 52 = 50 cos [ pie( x - 10 )/15 ]

28 = 50 cos [ pie( x - 10 )/15 ]

cos [pie( x - 10 )/15 ] = 28/50

cos [ pie( x - 10 )/15 ] =56

cos [pie( x - 10 )/15 ]= cos ( 56 )

cos [ pie( x - 10 )/15 )]= cos ( 0.3111 pie )

Hence:

pie( x - 10 )/15 = 0.3111

( x - 10 )/15 = 0.3111

x - 10 = 15 × 0.3111

x - 10 = 4.662

x = 10 + 4.662

x = 14.662 seconds

Therefore the correct option is C.

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Related Questions

please help!!
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = 9/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction

Answers

Answer:

[tex] sin \theta = \frac{\sqrt {19}}{10} [/tex]

Step-by-step explanation:

[tex] ( \sin \theta) ^{2} + ( \cos \theta) ^{2} = 1 \\ \\ \therefore \:( \sin \theta) ^{2} + { \bigg( \frac{{9} }{10} \bigg)}^{2}= 1 \\ \\( \sin \theta) ^{2} + \frac{81}{100}= 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 81}{100} \\ \\ ( \sin \theta) ^{2} = \frac{19}{100} \\ \\ \sin \theta = \sqrt{\frac{19}{100} } \\ \\ \sin \theta = \frac{\sqrt {19}}{10} [/tex]

Find the expected value of the winnings from a game that has the following payout probability distribution:
Payout ($) 0 4 6 8 10
Probability .5 .2 .15 .1 .05

Answers

could i get some extra help like whag did the teacher say in the video

Answer:

3

Step-by-step explanation:

The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:40%

Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40

Answer:

Well the equation for this would 50*.20 = ...

The first half of the answer would be 10.

BUT!

You need to subtract 10 from 50.

50-10 = 40!

There you go.

Step-by-step explanation:

plz help its timed!! will give brainliest

Answers

Answer:

x = 7

Hope this helps!-Finny

graph the equation y = 2 (x - 4)^2 + 5

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Answer:

Step-by-step explanation:

Which equation represents the word sentence shown below?

The quotient of a number band 0.3 equals negative 10.

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Answer:

where are the equations?

Step-by-step explanation:

tell me and I will edit my answer to answer ur question

Answer:

Step-by-step explanation:

Mhanifa please help. Look at the picture attached. I will mark brainliest

Answers

Answer:

#1tangent = opposite leg / adjacent legtan ∠F = DE/ EFtan ∠F = 24/7

Option D

#2

Sine and cosine are same for complementary angles.

Complementary of 67° is 90° - 67° = 23°.sine 67° = cosine 23°

Which function shown below has the greater rate of change? Explain. (Be sure to include the
rate of change for each in your explanation).

Answers

Answer:

Function 1 has a greater rate of change.

Step-by-step explanation:

Function 1 has a rate of change of 3 because 3x is the slope of the line.

Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.

Function 3 has a rate of change of 2.  You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.

Solve the equation for x.​

Answers

Answer:

-110

Step-by-step explanation:

[tex]-\frac{x}{10} =11[/tex]

-x=11×10=110

x=-110

please help me pleaseeee

Answers

11 minutes or 10 minutes

Answer:

First, we can find the least common denominator for 8 and 3 which is 24.

5/8 = 15/24

1/3 = 8/24  

Then we can divide 15/24 by 8/24 which is 2 1/4.

If we then do 16 divided by 2 1/4 we get 7 1/9

Answer = 7 1/9

Step-by-step explanation:

Plz solve this question

Answers

Answer:

first one

Step-by-step explanation:

and is this a test?

12. You are measuring the height of a Sitka spruce tree in Alaska. You stand 45 feet from the base of
the tree. You measure the angle of elevation from a point on the ground to the top of the tree
to be 59º. Estimate the height of the tree.

Answers

Answer:

tangent 59° = Tree height / 45 feet

Tree Height = 1.6643 * 45

Tree Height = 74.8935 Feet

Step-by-step explanation:

Solve for x. (Only enter the numerical value.)
(7x + 3)
(10x - 24)

Answers

Answer:

=70x^2-138x-72

Step-by-step explanation:

attached is the work in foil method

Answer pleasseee, and explain how you got it.

Answers

Answer:

7.2

Step-by-step explanation:

6^2+4^2=c^2

36+16=c^2

52=c^2

x=7.2

please check screenshot

Answers

Answer:

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Step-by-step explanation:

The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

HELP ME PLEASE

24d=12
What is d


-12c=12
What is c

Answers

d is 1/2 and c is -1

Need explanation for this question please

Answers

The answer to this question is D.

jack split 25 jelly beans between his brother and himself of that his brother has won more than twice the number jack has how many jellybeans does each have

Answers

Answer:

jack has 8 jellybeans and his brother has 17

Step-by-step explanation:

Jack have 8 jellies and his brother have 17 jellies.

What is fraction?

A number expressed as a quotient, in which a numerator is divided by a denominator.

Total number of jellies= 25.

The jellies is to be divide between jack and his brother.

let us consider jack has 'x' jellies

Then, his brother have '2x+1'

So, x+ 2x+1=25

3x+1=25

3x=24

x=8

So, jack have 8 jellies and his brother have 2*8+1= 17 jellies.

Learn more about this concept here:

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BRAINLISTTTT
What is the simple interest on a $3,750 loan at a rate of 5% per year after 5 years?
a. $4,697.50
b. $13,125.00
c. $9,375.00
d. $937.50

Answers

Answer:

d.937.50

Step-by-step explanation:

After each year it adds 5% so 5x5 is 25%

25% of $3,750 is $937.50

hope this helps :)

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

This factors out to be

4(2x+5)(2x+5)

GCF is 4.

This equals 4x^2 +20x+25

[tex]\sqrt{4} \\[/tex]=2

[tex]\sqrt{100}[/tex]=10

Therefore these will be the boxes:

Blank 1: 4

Blank 2: 2

Blank 3: 10

Something that can help you with these types of problems is the "Factoring Calculator by MathPapa" Which I will not put here but can be found by searching that on an engine.

Simplify the product using the distributive property.
(4h + 6)(4h − 7)


16h2 − 52h + 42


16h2 + 4h − 42


16h2 + 52h + 42


16h2 − 4h − 42

Answers

Answer:

16h^2-4h-42

Step-by-step explanation:

4h times 4h is 16h^2

4h times -7 is -28h

4h times 6 is 24h

6 times -7 is -42

Combine like terms to get 16h^2-4h-42

A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!

Answers

Answer:

16/27

Step-by-step explanation:

12 boys and 16 girls

She already chose a boy so now there are (11+16) = 27 possible outcomes

There are 16 favorable outcomes(girl)

so the fraction is 16/27

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the sum, if it exists, of the infinite geometric series S= 1/181 + 1/27+ 1/9+….

a)S= 1/54

b)S=1/9

c)S=1/6

d)This infinite geometric series diverges.

Answers

Answer:

S∞=12. Explanation: Formula for sum of infinite geometric series is. S∞=a11−r ; −1<r<1. We have a geometric series ...

Step-by-step explanation:

That's it hope it helps.^^

#carryonlearning

what is the probability of rolling 15 with a pair of dice? answer in likely, unlikely, equally likely, or impossible

Answers

it is clearly impossible

It is impossible that the probability of rolling 15 with a pair of dice.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Required the probability of rolling 15 with a pair of dice.

But we know that in the roll of a pair of fair dice,

Then the sample space is as follows:

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Hence, It is impossible that probability of rolling 15 with a pair of dice.

Learn more about probability here;

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Please help I'm failing

Answers

Answer:

Unit rate!

Step-by-step explanation:

A unit rate is a rate that has a denominator of 1!

~ LadyBrain

solve the following :
7+2x/3= 5
and
3x+4/2= 9.5

Answers

Answer:

x= 4

x= 5

Step-by-step explanation:

7 + 2(4)/ 3 = 5

7 + 2(4)/3 = 5

7+8/3 = 5

15/3 = 5

3(5) +4/ 2 = 9.5

15+4/2 = 9.5

19/2 = 9.5

The person from above me is correct. Thanks for the points btw. Ask me if u need any help

I need the answer pls

Answers

Answer:

s

Step-by-step explanation:

sdd

Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?

Answers

L*W*H gets you 18 cubic inches and is each holds 0.55 fluid ounces then that gets you a total of 9.9 fluid ounces

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what sea is in simplest radical form

Answers

Answer:

C = 18

Step-by-step explanation:

There's a 90° triangle. The other two angles are 30° and 60°. The shortest line is nine the longest line is C. It's asking what is C is in simplest radical form

Solution:

A triangle is a shape with three sides and three angles. Types of triangle are right angled, isosceles, scalene, obtuse, acute.

The length of the side in a triangle is directly proportional to the opposite angle (angle facing the side).

A right angled triangle is a triangle with one angle equals to 90 degrees.

Since the shortest line is 9, the angle facing the shortest line is the smallest angle. The longest line is the hypotenuse which is given as C. Trigonometric identities shows the relationship between the sides of a triangle and its angles, hence:

sin30 = 9 / C

0.5 = 9 / C

C = 9/0.5

C = 18

2000 restaurants will grow about 3% every year, what is the equation that represents it. Y = restaurants and t = years

Answers

Answer:

Y= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of Restaurants (PV)= 2,000

Growth rate (g)= 3%

To calculate the number of restaurants after t years, we need to use the following formula:

Y= PV*(1 + g)^t

For example, for 10 years:

Y= 2,000*(1.03^10)

Y= 2,688

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