Ask question

Ask question

All categories

4 years ago

7

Is 11/12 and 9/10 equal

1 answer:

Zarrin [17]4 years ago

5 0

Answer:

They are not equal

the bigger the denominator the smaller the parts are

You might be interested in

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,

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

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 :

<em>⇒ $d(t)=8sin(\pi t+c)$ </em> ------1

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

<em>⇒ $0=8sinc\\c=n\pi$ ------2</em>

where n is an integer ;

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

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

where k is also an integer ;

the least value of $k=0$ ;

thus ,

the equation is :

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

<em></em>

7 0

3 years ago

Sylvia is hiking from Mineral Creek to Blueberry Hilla distance points of 6 1/5 miles. After hiking 2 2/3 miles , Sylvia stops f

Margarita [4]

Given:

Total distance = $6\dfrac{1}{5}$ miles

Hiking before lunch = $2\dfrac{2}{3}$ miles

To find:

How much further does Sylvia have left to hike?

Solution:

Let x be the remaining hiking distance.

We know that,

Total hiking distance = Hiking before lunch + Remaining hiking distance

$6\dfrac{1}{5}=2\dfrac{2}{3}+x$

$\dfrac{(6\times 5)+1}{5}=\dfrac{(2\times 3)+2}{3}+x$

$\dfrac{30+1}{5}=\dfrac{6+2}{3}+x$

$\dfrac{31}{5}=\dfrac{8}{3}+x$

Isolate variable term.

$\dfrac{31}{5}-\dfrac{8}{3}=x$

$\dfrac{93-40}{15}=x$

$\dfrac{53}{15}=x$

It can be written as

$\dfrac{45+8}{15}=x$

$\dfrac{(3\times 15)+8}{15}=x$

$3\dfrac{8}{15}=x$

So, $3\dfrac{8}{15}$ miles left to hike.

Therefore, the correct option is C.

3 0

4 years ago

2 trains leave from the same point and travel along straight tracks that differ in direction by 72ﾟ. If their speeds are 64 mile

Alinara [238K]

Answer:

34.44 miles

Step-by-step explanation:

Distance covered bty the two trains :

Distance = speed * time

Time = 30 minutes = 0.5hr

Distance of train 1 = 64 * 0.5 = 32 miles

Distance of train 2 = 52 * 0.5 = 26 miles

Included Angle = 72°

Using cosine rule :

a² = b² + c² - 2bcCosA

Let Distance between the trains after 30 minutes = a

a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)

a^2 = 1700 - 514.20427

a^2 = 1185.7957

a = sqrt(1185.7957)

a = 34.435

a = 34.44 miles

5 0

3 years ago

Mr.Martin is giving a math test next period.The test,which is worth 100 points,has 29 problems. Each problem is worth either 5 p

blsea [12.9K]

Answer:

The second option

Step-by-step explanation:

x+y=29

5x+2y=100

then y=29–x

since 5x+2y=100

then 5x+2(29–x)=100

then 5x+58–2x=100

then 3x+58=100

then 3x=100–58

then 3x=42

then x=42/3

then x=14

then y=29–14=15

5 0

4 years ago

Read 2 more answers

An equation is shown. What is the value of the missing number? 0.86 x *blank* = 86

lara31 [8.8K]

Answer:

100

Step-by-step explanation:

0.86 x 100 = 86

5 0

3 years ago

Read 2 more answers