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3 years ago

Anybody want to answer this?

Mathematics

2 answers:

sertanlavr [38]3 years ago

8 0

Answer:

y = 38°

x = 89°

Step-by-step explanation:

y = 38°

( because y and 38° are pair of alternate interior angle )

2. x + 53° + 38° = 180°

( because sum of all interior angles of the triangle is 180° )

x + 91° = 180°
x = 180° - 91°
x = 89°

timurjin [86]3 years ago

4 0

Answer:

x = 89, y = 38

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the given angles and equate to 180

x + 53 + 38 = 180

x + 91 = 180 ( subtract 91 from both sides )

x = 89

y and 38 are alternate angles and are congruent, then

y = 38

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A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro

Mrac [35]

Answer:

The equation of the displacement $d$ as a function of time $t$ is :

$d(t)=8sin(\pi t+\pi )$

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple $sin$ or $cos$ terms.

Thus,

$d(t) = Asin(wt+c)$

is the general form of displacement of a SHM.

where,

$d(t)$ is the displacement with respect to the mean position at any time $t$
$A$ is amplitude
$w$ is the natural frequency of oscillation ( $rads^{-1}$ )
$c$ is the phase angle which indicates the initial position of the object in SHM ( $rad$ )

given,

Time period ( $T$ ) = $2s$
$A=8$
The natural frequency ( $w$ ) and time period ( $T$ ) is :

$w=\frac{2\pi} {T}$

∴

$w$ = $\frac{2\pi }{2} = \pi$ $rads^{-1}$

∴

the equation :

⇒ $d(t)=8sin(\pi t+c)$ ------1

since $d=0$ when $t=o$ ,

⇒ $0=8sinc\\c=n\pi$ ------2

where n is an integer ;

⇒since the bouy immediately moves in the negative direction , $x$ must be negative or c must be an odd multiple of $\pi$ .

⇒ $d(t) = 8sin(\pi t+(2k+1)\pi )$ ------3

where k is also an integer ;

the least value of $k=0$ ;

thus ,

the equation is :

$d(t)=8sin(\pi t+\pi )$

7 0

3 years ago

I need help I dont know how to do this

Nikolay [14]

Answer:

9.2

Step-by-step explanation:

you get 9.1651513... but it says round to the nearest 10th which would be 9.2

7 0

3 years ago

Read 2 more answers

Just 32, 34 and 36 please

Vinil7 [7]

Answer:

32 is k=2.2

34 is h=20

36 is x=1

3 0

4 years ago

Please help i need this answer for my end of course test

VMariaS [17]

Option B

The second term of sequence is -9

Solution:

Given that,

$a(1)= -13\\\\a(n) = a(n-1) + 4$

We have to find the second term of sequence

To find the second term of sequence, substitute n = 2 in given recursive formula

Plug in n = 2 in above equation

$a(2) = a(2-1) + 4\\\\a(2) = a(1) + 4$

Substitute a(1) = -13

$a(2) = -13 + 4\\\\a(2) = -9$

Thus the second term of sequence is -9

8 0

3 years ago

A car dealership purchased a car for $15,000. They mark up the price by 35%. What is the retail price of the vehicle

Snowcat [4.5K]

Answer: the answer is 20,250

Step-by-step explanation:

35% of 15,000 = 5,250

15,000+5250 = 20,250

4 0

3 years ago

Anybody want to answer this?​

Anybody want to answer this?