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2 years ago

You are painting a rectangular tabletop. The length of the table top is 6 inches less than 3 times the

Mathematics

1 answer:

dedylja [7]2 years ago

3 0

Answer:

Step-by-step explanation:

Let l represent length and w represent width

We know that l = 3w-6

(3w-6)(w) = the area

Use distributive property

$Area = 3w^2-6w$

A is the correct answer

Hope this helps :)

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Rendering math...While solving an equation, Wayra made some mistakes. Her solution is given below. Please help her to identify t

solong [7]

Answer:

According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.

She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z

Step-by-step explanation:

Given the equation solved by Wayra expressed as;

Step 1: 13(z+6) = 4(z-3)-5z

She is find the value of z from the equation;

Step 2: Open the parenthesis using the distributive property;

13(z+6) = 4(z-3)-5z

13z + 13(6) = 4z - 4(3) - 5z

13z + 78 = 4z - 12 - 5z

Step 3: Simplify

13z + 78 = 4z - 5z - 12

13z + 78 = -z -12

Step 4: Collect the like terms;

13z + z = -12 - 78

Step 5: Simplify the result

14z = -90

Step 6: Divide both sides by 14

14z/14 = -90/14

z = 6.428

According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.

She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z

5 0

2 years ago

Can someone help :0 not sure how to solve but I'm doing algebra if that helps

Rus_ich [418]

Answer:r = d/t

Step-by-step explanation:

1. If we are solving for r, we need to have r on one side of the equation.

2. Divide by t on both sides = d/t=r

8 0

3 years ago

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

2 years ago

PLEASE HELP!! Sin <k= A. 1/2 B. (sqrt3)/3 C. 2 D. 2sqrt3

algol [13]

Answer:

1/2

Step-by-step explanation:

Sine is opposite over hyp.

So the opp is 5 and the hyp is 10

5/10 equal 1/2

4 0

2 years ago

PLEASE HELP!!!! 20 POINTS!!!

Vlad1618 [11]

Mass = density* volume
since density= mass/volume then mass/volume*volume=mass
= 4.5*0.4 = 1.80g

6 0

3 years ago