Please help! In a tidal river, the time between high and low tide is 5.8 hours. At high tide, the depth of water is 17.2 feet, while at low tide the depth is 4.6 feet. Assume the water depth as a function of time can be expressed by a trigonometric function (sine or cosine).

Write an equation for the depth () of the tide (in feet) hours after 12:00 noon.

Answers

Answer 1

Answer:

Step-by-step explanation:

mean tide is (17.2 + 4.6)/ 2 = 10.9 ft

Amplitude of tide is (17.2 - 4.6)/ 2 = 6.3 ft

The full tide cycle is 2(5.8) = 11.6 hrs

As we are not told the tide condition at 12:00 noon,

I will ASSUME that the tide is high and use the cosine function

D = 10.9 + 6.3cos(2π(t/11.6)) ft

where t is in hours after noon high tide.

make sure your calculator is set to radians.

If you want to use degrees, the equation becomes

D = 10.9 + 6.3cos(360(t/11.6)) ft


Related Questions

The governor of state A earns $51,615 more than the governor of state B. If the total of their salaries is $291,335, find the salaries of each.

Answers

Answer:

A = $171,475, B = $119,860

Step-by-step explanation:

A represents the salary of the governor of state A.

B represents the salary of the governor of state B.

A is $51615 larger than B, so you get the equation:

A = B + 51615

The total of the two salaries is $291335, so you can the second equation:

A + B = 291335

Using the first equation, substitute the quantity (B + 51615) for A in the second equation.

(B + 51615) + B = 291335

2B + 51615 = 291335

2B = 239720

B = 119860

Plug this value of B back into either of the equations.

A = B + 51615 = 119860 + 51615 = 171475

Please helpp!! best answer gets brainliest​

Answers

Answer:

the answer is B and C, because B equals .57 and C is .666 continuous

Answer:

C

Step-by-step explanation:

Turn everything into a fraction (round if needed)

4/7 = 0.571

A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.

B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.

C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.

A customer buys a different DVD that has an original selling price of $28. The DVD is discounted by 15%. The customer must pay a 5% sales tax on the discounted price of the DVD.
What is the total amount, in dollars, the customer pays for the discounted DVD?

Answers

answer is 27.2$ of all pay

How are congruent angles and congruent segments similar?

Answers

They both share equal parts. Congruent means equal and a congruent segment is equal to the other segmant. Same goes for congruent angles

i'll mark brainliest thanks in advance ·​

Answers

Answer:

a.8

Step-by-step explanation:

choose the inequality that represents the following graph

​Help plz

Answers

Answer:

D

Step-by-step explanation:

Remember:

close circle means greater than or equal to

open circle means greater than

Therefore

x [tex]\geq[/tex] -4

In one year the Mcallister family jobs their car 50,600 miles to the nearest thousands how many miles did they drive their car that year



Answers

Answer:

51,000 thousand

Step-by-step explanation:

the miles are above 500 , 600 so they rounded up to 51,000

Hope that helped :) have a great day !

Answer:

The distance driven by the McAlister family car in one year, to the nearest thousand, is 51,000 miles

what is the important variable in the problem?


Gary had a pizza party for his friends 14 people showed up, and they had 50 pieces of pizza. How many pieces of pizza did each person have?

Answers

Answer:

3

Step-by-step explanation:

each friend would have 3 pizzas

Genesis mows lawns during the weekend in order
to earn extra money. She can mow 1/3 of a lawn
in 1/6 of an hour. How many lawns can Genesis
mow per hour?

Answers

Answer:

two lawns.....

...........

Genesis can mow 2 lawns per hour.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Genesis mows in 1/6 hour =1/3 lawns

To find, mow per hour,

∴ in 1/6 hours =1/3 lawn,

⇒1 hour = 6×1/3 lawn

⇒1 hour = 2 lawns.

So, In 1 hour, Genesis can mow 2 lawns.

To learn more about Ratio on :

https://brainly.com/question/13419413

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A wheel on Ruben’s bicycle is 1.5 ft in diameter. Reuben races the bicycle for 155 ft. How many times does the wheel turn as the bicycle travels this distance? Use the value 3.14 for ㅠ. Round your answer to nearest tenth. Do not round any intermediate steps.

Answers

Answer:

32

Step-by-step explanation:

1.5 × 3.14 =4.71

155÷4.71=32.909

so,answer is 32

What is the range of the relation graphed below?

Answers

Answer:

a

Step-by-step explanation:

equation with a variable on both sides that equal 27

Answers

Answer:

x +20 = 20 + 4 -x +10  (x =7)

Step-by-step explanation:

equation with a variable on both sides that equal 27

x +20 = 20 + 4 -x +10

The triangles shown below must be congruent.
25°
55-7
100"
100
55"
25°
0
о
A. True
о
B. False

Answers

9514 1404 393

Answer:

  B.  False

Step-by-step explanation:

The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.

There is nothing in the diagram to require the triangles be congruent.

With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.

With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

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Record the prime factorization of 720 using exponents

Answers

Answer:

20

Step-by-step explanation:Because thats the last two digets

The prime factorization of 720 using exponents is 2⁴×3²×5.

The given number is 720.

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.

The factors of 720 are

720 = 2×2×2×2×3×3×5

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

Now, 2×2×2×2×3×3×5 = 2⁴×3²×5

Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.

Learn more about the prime factorisation here:

https://brainly.com/question/27194245.

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There are 6 roses in a vase of flowers. The rest are daisies. (a) What is the ratio of all flowers 15 in the vase to daisies? (b) What is the ratio of roses to daisies?

Answers

Answer:

(a) No. of daisies=15-6

                      =9

Flowers:Daisies

         15:9

(b) Roses:Daisies

             6:9

             2:3

#roses_are_rosie:))

Answer:

a) 15 : 9

b) 2 : 3

Step-by-step explanation:

Total flowers: 15

Roses: 6

Daisies: 15 - 6

= 9

a) Ratio of all flowers to daisies:

> 15 : 9

b) Ratio of roses to daisies:

> 6 : 9

> 2 : 3 (simplified)

A polygon has 7 sides. The interior angle measures are 131°, 127°, 134°, 122°, 132°, 120°, and x°. Find the value of x Help ASAP

Answers

X equals 134 degrees because if you do the # of sides minus 2 times 180 that’s how much all of the angles have to equal so if you add them all up and subtract them from 900 you get 134.

n = 3:
– 3 and 4 + 2 i are zeros:
f(- 1) = 58

Answers

Answer:

de eitcukqrncjakgkciwitjfuqjrjcjwjtjfkwjtkckskrkchakrjfnrjcjdnsnfncdn

what would the answer be for:

2 −5−24.

with full steps.

Answers

The answer would be -27. Because if you subtract 2 then 5 from that would give you -3 and then subtract 24 it would be -27

who can prove 2+2=5​

Answers

Answer:

saya tidak ingin mengatakannya tapi kalian akan menjadi gila ya

Answer:

i can see a really tiny 0.5 next to both of them

2.5+2.5=5

tadaaaaa

Step-by-step explanation:

What is the sum of the numbers
1*2+2*3+.....n(n+1)

Answers

Answer:

8+n²+n

Step-by-step explanation:

Simplfy the expression

rewrite 4x plus 2y equals 6 in slope intercept form.

Answers

Answer:y=-2x+3

Step-by-step explanation:

PLEASE HELP 20 POINTS
What is the value of the expression 5(6/12-1/4) + 0.5

Answers

Answer:

5/8

Step-by-step explanation:

First you need to reduce the fractions then you choose a common denominator to calculate:6/12=1/2 then you see the you see 1/4 can be a common denominator so you equal 1/2 to the denominator by 4, which means multiplying 2 by both the numerator and denominator, we get 2/4 after that you add and subtract in parentheses and you will get 1/4 then you multiply by 5 to get 5/4 the finally you have to plus 0,5 you will get 7/4 done.

A right circular cylinder has a surface area of 66π. If the height of the cylinder is 8, find the diameter of the base.

Answers

Answer:

6

Step-by-step explanation:

h = 8

Surface area = 66π

2πr(r +h) = 66π

2πr(r + 8) = 66π

[tex]r(r + 8) =\dfrac{66\pi }{2\pi }[/tex]

r² + 8r = 33

r² + 8r - 33 = 0

r² + 11r - 3r - 33 = 0

r(r + 11) - 3(r + 11) = 0

(r +11 ) (r - 3) = 0

r - 3 = 0             {Ignore r = -11 as radius will not have negative value}

r = 3

Diameter = 3*2 = 6 units

help pls and ty! i will give brainliest to the correct answer

Answers

Answer: 24km

Step-by-step explanation:

given 1cm : 8km

distance between cafe and restaurant upply store= 3cm

Real distance = 3x8 =24 km

−4[−2(7−10)−15]2(−1)

Answers

Answer:

-72

Step-by-step explanation:

You first solve what's inside the parenthesis.

(7-10) = -3

(-2(-3)-15)= -9

-4(-9)(2)(-1)= -72

Therefore, the answer is -72.

Hope it helped!

Mary mixes 11/12oz of red paint with 1 3/4oz of white paint.



How many ounces of paint does Mary mix?

Answers

Answer:

2 8/12 or simplified it is 2 2/3.

Hamid needs to find the height of a parallelogram. The base is 3 inches long and the area is 30 square inches. What is the height?
Step 2 of 2: Finally, solve the problem by substituting in the appropriate values. (Round your answer to 2 decimal places if necessary.)

Answers

Answer:

the height is 10 inches

Step-by-step explanation:

area of a parallelogram is base times height

3h=30

divide both sides by 3

h=10

Answer:

area is base times height the base us 3 inches the area is 30 inches 3 times 10 is 30 so 10 is the height

3x+2=198
Solve it as Soon as possible!​

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve for x ~

[tex]3x + 2 = 198[/tex]

[tex]3x = 198 - 2[/tex]

[tex]3x = 196[/tex]

[tex] \boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}[/tex]

Answer:

[tex]\boxed{\blue{ = \frac{196}{3}}} [/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

3x+2=198

Step 1: Subtract 2 from both sides.

3x+2−2=198−2

3x=196

Step 2: Divide both sides by 3.

[tex] \tt \: \frac{3x}{3} = \frac{196}{3} [/tex]

Result:

[tex]\boxed{\underline{ x = \frac{196}{3}}} [/tex]

Simplify: (1 – 8) – (2 – 9).

Answers

>> Answer

________

[tex] \: [/tex]

(1 - 8) - (2 - 9) = ...

= (-7) - (-7)

= -7 + 7

= 7 - 7

= 0

Find the equation for g

Answers

Answer:

Ti lah 13435364646166161611646646767676797979494

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