I need help with my math worksheet

The motion of a ship riding at anchor can be modeled by y=25-4 cos (pi/6)t, where y is the water depth in feet and t is the time

balandron [24]

Answer: 29 feet (deepest) at 6 am

21 feet (shallowest) at Midnight & Noon

<u>Step-by-step explanation:</u>

y = -4 cos (π/6)t +25

Amplitude (A) = 4

-A means it is a reflection over the x-axis (starts at minimum)<em> </em>

Period = 2π/B → Period = 12

Phase shift = C/B → Phase Shift = 0

Midline (D) = 25

Midline (D) ± Amplitude (A) = Max & Min

Max: 25 + 4 = 29

Min: 25 - 4 = 21

Change the coordinates of y = cos (x) as follows:

x-value: Add C then divide by B
y-value: Multiply by A then add D

Note that the equation shows: A = -4, B = π/6, C = 0, D = 25

$\begin{array}{c|ccc|cl}\underline{\quad x\quad}&\underline{\quad y\quad}&&\underline{\quad (x+C)/B\quad}&\underline{\quad Ay+D\quad}\\0&1&&0&21&minimum\\\pi&0&&3&25&midline\\\pi &-1&&6&29&maximum\\3\pi/2&0&&9&25&midline\\2\pi&1&&12&21&minimum\\\end{array}$

5 0

4 years ago

Lingjin drove from los angeles to ventura during rush hour at an average speed of 4545 miles per hour, and then drove back the s

Softa [21]

45mph times x hours one way
30mph times y hours back
x+y=3 hours 15 minutes

45mph(x)=z miles
30mph(y)=smiles
so
$45x = 30y \\ x = \frac{30}{45} y \\ x = \frac{2}{3} y$
and substituting we know 15 minutes is 1/4 an hour so we have
$x + y = 3.25 \\ \frac{2}{3} y + y = 3.25 \\ \frac{5}{3} y = \frac{13}{4} \\ y = \frac{13}{4} ( \frac{3}{5} ) \\ y = \frac{39}{20}$
so 1.95 is how long they were going 30mph
1.95hours time 30mph is 58.5 miles.
so that is the distance. check by putting in y and solving for x. multiply x by 45 and you should get the same distance

3 0

3 years ago

Please help me with this and i'll mark you as brainlist. but it has to be a answer that makes sense

sammy [17]

Answer:

the new one for a: 12/21 and 15/21

the new one for b: 20/25 and 15/25

the new one for c: 20/27 and 33/27

the new one for d: 25/24 and 36/24

Step-by-step explanation:

4/7 x 3/3 equals 12/21

3/5 x 5/5 equals 15/25

11/9 x 3/3 equals 33/27

6/4 x 6/6 equals 36/24

3 0

3 years ago

The distance from the top of the cone to the edge is 15 feet. The height of the cone is 6 feet. What is the radius of the cone?

soldi70 [24.7K]

Answer:

The radius of the cone is approximately 13.4 feet

Step-by-step explanation:

The dimensions of the given cone are;

The distance from the top of the cone to the edge of the cone = 15 feet

The height of the cone = 6 feet

The radius of the cone is given by the base of the right triangle formed by the slant length, the base radius and the height which is found using Pythagoras theorem as follows;

The radius of the cone, r = √((Slant distance)² + (Height)²)

∴ r = √((12 ft.)² + (6 ft.)²) ≈ 13.4 ft. (by rounding to the nearest 10th)

8 0

3 years ago

Vincent wants to put 75 photograph in an album. A full page holds 6 photo graphs. what is the smallest number of pages vincent u

Dvinal [7]

Answer:

He needs just 13 pages

That is round up to not more than 20 pages will be the smallest

Step-by-step explanation:

Vincent wants to put 75 photograph in an album.

And a full page holds 6 photo graphs.

If 6 photographes is one page

Then 75 photographes =( 75*1)/6

75 photographes = 75/6

75 photographes= 12.5

12.5 pages will hold 75 photographes but nothing like 12.5 pages.

To the nearest page = 13 pages

8 0

3 years ago