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3 years ago

Please help please explain it step by step please

Mathematics

1 answer:

VLD [36.1K]3 years ago

8 0

Answer:

1. 10 root 3

A=30

B = 60

Step-by-step explanation:

In picture

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The Hudson Bay tides vary between 3 feet and 9 feet. The tide is at its lowest point when time (t) is 0 and completes a full cyc

BaLLatris [955]

Answer:

$y(t)= 6-3cos(\dfrac{2\pi}{14}t )$

Step-by-step explanation:

The function that could model this periodic phenomenon will be of the form

$y(t) = y_0+Acos(wt)$

The tide varies between 3ft and 9ft, which means its amplitude $A$ is

$A =\dfrac{(9-3)ft}{2} \\\\\boxed{A = 3ft}$

and its midline $y_0$ is

$y_o=3+3 \\\\\boxed{y_o= 6ft}$ .

Furthermore, since at $t=0$ the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is $-cos(\omega t)$ .

The period of the full cycle is 14 hours, which means

$\omega t =2\pi$

$\omega (t+14)= 4\pi$

giving us

$\boxed{\omega = \dfrac{2\pi}{14}.}$

With all of the values of the variables in place, the function modeling the situation now becomes

$\boxed{y(t)= 6-3cos(\dfrac{2\pi}{14}t ).}$

8 0

3 years ago

(05.01)A scale drawing of a living room is shown below. The scale is 1 : 40.

matrenka [14]

Answer:

$A=266\frac{2}{3}\ ft^2$

Step-by-step explanation:

we know that

The scale is $\frac{1}{40}$

That means

1 unit in the drawing represent 40 units in the actual

1 inch in the drawing represent 40 inches in the actual

step 1

Find the actual dimensions of the living room

Multiply the dimensions of the living room in the drawing by 40

$Length:\ 6(40)=240\ in$

$Width:\ 4(40)=160\ in$

step 2

Convert inches to feet

Remember that

$1\ ft=12\ in$

To convert inches to feet , divide by 12

$Length:\ 240\ in=240/12=20\ ft$

$Width:\ 160\ in=160/12=\frac{40}{3}\ ft$

step 3

Find the area in square feet

Multiply the length by the width

$A=(20)(\frac{40}{3})=\frac{800}{3}\ ft^2$

Convert to mixed number

$A=\frac{800}{3}\ ft^2=\frac{798}{3}+\frac{2}{3}=266\frac{2}{3}\ ft^2$

4 0

3 years ago

Read 2 more answers

Solve the following system of equations algebraically:

d1i1m1o1n [39]

Answer:

(2,1) , (-4,-17)

x = 2 , y = 1

x = − 4 , y = − 17

5 0

3 years ago

Solve for x and explain how I show work

DaniilM [7]

Answer:

x = 100

Step-by-step explanation:

(x - 20) + x = 180

2x - 20 = 180

+ 20 +20

2x = 200

x = 200/2

x = 100

3 0

3 years ago

Solve for x. Find the angle measures. Angle AOB=x+3, angle AOC=2x+11, angle BOC=4x-7

Ghella [55]

Answer:

x=5

AOB = 8

BOC = 13

AOC = 21

Step-by-step explanation:

Angle AOB and Angle BOC is equal to Angle AOC.

AOB = x+3

BOC = 4x-7

AOC= 2x+11

AOB + BOC = AOC

x+3+4x-7 = 2x+11

5x-4 = 2x+11

3x = 15

x = 5

Therefore, the value of x is 5.

Angle AOB = x+3

AOB = 5+3

AOB = 8

Angle BOC = 4x-7

BOC = 4(5)-7

BOC = 13

Angle AOC = 2x+11

AOC = 2(5)+11

AOC = 21

4 0

3 years ago

Read 2 more answers