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2 years ago

Expand the following expression by using distributive method. 3(4x+5y)

Mathematics

1 answer:

ad-work [718]2 years ago

6 0

Answer:

12x+15y is the answer you will get once you distribute.

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Find the area and show work if you can.

baherus [9]

Answer:

The area of figure is 420 000 ft².

Step-by-step explanation:

You can seperate the diagram into 2 parts, top is trapezium and bottom is rectangle. Then you have to use the formula for each part :

Trapezium,

$A = \frac{1}{2} \times (a + b) \times height$

Let a = 600 ft,

Let b = 900 ft,

Let height = 200 ft,

$A = \frac{1}{2} \times (600 + 900) \times 200$

$A = 150 \: 000 \: \: \: {feets}^{2}$

Rectangle,

$A = base \times height$

Let base = 900 ft,

Let height = 300 ft,

$A = 900 \times 300$

$A = 270 \: 000 \: \: \: {feets}^{2}$

Lastly, you have add both areas together :

$A = 150000 + 270000$

$A = 420 \: 000 \: \: \: {feets}^{2}$

8 0

3 years ago

Read 2 more answers

Find the value of x.

Ivahew [28]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Blaize is filling a 20,000-gallon swimming pool. If 7040 gallons have already been filled, and the water is entering the pool at

Svetlanka [38]

We can start with subtracting 7040 from 20,000, getting us 12960 gallons remaining, If 720 gallons per hour are coming, we can make the equation 12960 = 720h, with h as hours. Next, we can divide both sides by 720, getting us 18. It will take 18 hours to fill the pool.

3 0

2 years ago

A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st

shutvik [7]

Answer:

Equation of movement y(t)

$y(t)=sin(10t-\pi/2)$

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

$A=1\,inch$

The period depends on the mass and the spring constant.

The formula for the period is:

$T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s$

The model y(t) for the movement of the mass-spring system is

$y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)$

8 0

3 years ago

To compose music on a computer, you can write notes as decimals. What decimals should you enter for a half note, a quarter note,

levacccp [35]

You should ender 0.5 for a half note, 0.25 for a quater note, 0.125 for a eigth note, 0.0625 for a sixteenth note.

8 0

3 years ago