Find the volume of the composite solid.

High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given trigonometric function is y=23-5cos(πt/6).

The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.

To find the high and low tide depths, we need to find the maximum and minimum values of y.

The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.

The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.

To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.

When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.

When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.

Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.

Therefore, option B is the correct answer.

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Answer:

La variación de temperatura en el día es 9°C.

Step-by-step explanation:

Cuando tenemos dos valores, uno máximo M y uno mínimo m, la variación entre esos valores es la diferencia (la resta) entre el valor máximo M y el valor mínimo m

variación = M - m

En este caso sabemos que la temperatura mínima es -2°C

La temperatura máxima es 7°C

La variación sera entonces:

Variación = 7°C - (-2°C)

Recordar la regla de los signos:

(-)*(-) = (+)

Entonces:

Variación = 7°C - (-2°C) = 7°C + 2°C = 9°C

La variación de temperatura en el día es 9°C.

Answer:

Step-by-step explanation:

Option D is the correct answer

The next term is - 27

Answer:

$28.05

Step-by-step explanation:

If you want to find how much the photo album is after the markup, you first have to find 10% of the original price. 10% of $25.50 is $2.55, so you add $2.55 and $25.50 to find the price after the markup.

Hope this helps!

Answer:

925 full marks

Step-by-step explanation:

350 + 20 = 370 marks required to pass

370 / 0.40 = 925 full marks

Answer:

18

Step-by-step explanation:

We will try to find the angle on the left side of the small triangle. So we have to use Tan.

SOHCAHTOA

TanФ = 12/8

[tex]Tan^{-1}[/tex] = 12/8   = 56.31°

So the other one is 33.69°  It's the top left one of the smaller triangle.

The top right side of the bigger triangle is 56.31 because they both add up to make 90°

Now that we have an angle of the bigger triangle we will find the x.

Tan 56.31 = x/12

x = 18

Theres probably a easier way but i dunno

Answer:

Step-by-step explanation:

First note that the triangles shown are isosceles triangles due to equality of two of their sides which is radius. So their baseline angles are equal

Since their middle angle are equal too, so their 3 angles are the same. It menas both triangles are similar.

However, we know two of three sides are equal, but the third should be also because of their similarity.

y+4 = 2y - 3

2y - y = 4 - 3

y = 4+3

y = 7

Therefore,

2y-3 = 2.7-3 = 14-3 = 11

Answer is 11 centimeters

Answer:

p = 72m

a = 228m^2

Step-by-step explanation:

p = 20 + 12 + 12 + 8 + 6 + 6 + 8 = 72

a = (20 x 12) - ( (6 x 4) / 2) = 240 - (24 / 2) = 240 - 12 = 228

The quotient and remainder of the polynomial after division are u²+5u-2 and 0 respectively.

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Given is a polynomial p(u) =u³+3u²-12u+4  which is to be divided by g(u)=u-2

When we divide the polynomial, we get,

Quotient = u²+5u-2

And for this remainder will be zero

Hence, the quotient and remainder of the polynomial after division are u²+5u-2 and 0 respectively.

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Answer:

1. -2 degrees

2. 10 feet below sea level

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

afhiutffhjoiyrdcvkoitredcbkoydcvkirdvjut

Answer:

y = 2x

Step-by-step explanation:

Answer:

The volume of the shape is 560 ft^3

Step-by-step explanation:

To find the volume of the figure, we need to multiply the base area by the height of the figure

mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths

We have this as 8 ft * 10 ft = 80 ft^2

So multiplying this by the height which is 7 ft, we have this as;

7 ft * 80 ft^2 = 560 ft^3

Answer:

113.04

Step-by-step explanation:

Our formula for this circle is 3.14x6^2(6x6) and our formula is 3.14xr^2 so it equals 113.04

Answer: They all look correct to me. The only on the might work is the House of Representatives and Senate pass the bill along with a majority vote.

Step-by-step explanation:

All angles make up 540°.

Use an algebra expression to clarify this.

9x+7x+15+5x-25+6x+25+6x-3=540

Add like terms.

33x+12=540

33x=528

x=16

Answer:

the answer is: A

18 * 17 * 16 * 15 = 73,440

Answer:

(2;6)

Step-by-step explanation:

it will be in first quarter

Answer: -19r + 31.7s i think

Step-by-step explanation:

Answer:

hope this helps.look it once.

Answer:

1.)  71 > 38    ║d.) >

2.)  21 < 62   ║g.) <

3.)  58 = 58  ║f.) =

4.)  14 ≤ 6     ║a.) False

5.)  13 ≤ 26   ║h.) True

6.)  25 < y    ║c.) 16

7.)  N = 6      ║e.) 6

8.)  P ≥ 16     ║b.) 50

Answer:

y=11/3

Step-by-step explanation:

39 = 6(1) + 9y

39 = 6 + 9y

39 - 6 = 9y

33 = 9y

9y = 33/9

y = 11/3

Answer:

y = 11/3

Step-by-step explanation:

Sometimes it's just how things are written that makes them seem super hard.

R = 6x + 9y is the equation, and then they say what to sub in for x and R. So now we have:

39 = 6(1) + 9y

39 = 6 + 9y

subtract 6 from both sides

33 = 9y

y = 33/9, simplified to 11/3

Answer: The first graph

Step-by-step explanation: I used a graphing calculator

Answer:

Step-by-step explanation:

Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth

Exponential growth function

= y = a(1 + r)^t

Solving for y

y = 200(1 + 0.092)⁷

Answer:

Step-by-step explanation:

Since the quadrilateral is inscribed into circle, its opposite angles are supplementary:

Substitute the values and solve for x:

Answer:

According to the property of Cyclic Quadrilateral

5x - 22 + 8x + 7 = 180

(5x + 8x) - (22 - 7) = 180

13x - 15 = 180

13x = 180 + 15

13x = 195

x = 195/13

x = 15

[tex] \\ [/tex]

Answer:

4 1/2 hours

Step-by-step explanation:

1 practice = 2 1/4 hours

2 practices = 4 1/2 hours

Answer: hewo, there! your answer is below

4 2/4  Hours would be my answer

Step-by-step explanation:

Bryson has soccer practice for 2 \frac{1}{4} hours 2 times a week. Bryson spend 4 \frac{2}{4} hours at soccer practice in 1 week

Hope this helps you!

Have a greay day!!

Answer:

66 Watts

Step-by-step explanation:

Given data

Work= 3960Joules

Time= 60 seconds

We know that the expression for power is

Power= Work/TIme

Power= 3960/60

Power=66 Watts

Hence the power is 66 Watts

Answer:

hope this is helpful

Step-by-step explanation:

SOH-CAH-TOA is really helpful in remembering what each of the ratios should look like.

For sine, SOH means --> Sine- Opposite- Hypotenuse

This helps to remember that when using sine, you should use the Opposite length over the Hypotenuse in your ratio.

For cosine, CAH means --> Cosine- Adjacent- Hypotenuse

Your ratio should have the Adjacent length over the Hypotenuse

For tan, TOA means --> Tangent- Opposite- Adjacent

Your ratio should have the Opposite length over the Adjacent length  

Answer: [tex]14.07\ m[/tex]

Step-by-step explanation:

Given

Max is driving at a speed of [tex]42\ mph[/tex]

It took him three-quarters of a second i.e. [tex]0.75\ s[/tex]

Speed in meter per second is [tex]18.77\ m/s[/tex]

Distance is given by

[tex]d=v\times t[/tex]

Reaction distance is

[tex]d=18.77\times 0.75=14.07\ m[/tex]