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lesya692 [45]
3 years ago
8

Harold, the handyman, builds two similar sheds for a farm. The smaller shed is 6 feet tall and weighs 500 pounds. If it takes th

ree times as much paint to cover the larger shed, approximately how tall is the larger shed and approximately how much does it weigh?
Mathematics
1 answer:
Akimi4 [234]3 years ago
7 0

Answer:

18 ft

1500 pounds

Step-by-step explanation:

6 x 3 = 1 8

500 x 3 = 1500

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Let x = a bi and y = c di and z = f gi which statements are true? check all of the boxes that apply. x y = y x (x × y) × z = x ×
Alex73 [517]

A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.

<h3>What is a Complex Number?</h3>

A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.

As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.

A.) x+y=y+x

x+y=y+x\\a+bi+c+di=c+di+a+bi

As the two sides of the equation are equal, the equation is true.

B.) (x × y) × z = x × (y × z)

(x \times y) \times  z = x \times  (y \times  z)\\\\\ [ (a+bi)  \times (c+di) ]\times (f+gi) = (a+bi)  \times [(c+di) \times (f+gi)]\\\\(ac+adi+bci-bd) \times (f+gi)=  (a+bi)  \times (cf+cgi+fdi-dg)

(ac+adi+bci-bd) \times (f+gi)=  (a+bi)  \times (cf+cgi+fdi-dg)\\\\\\acf+adfi+bcfi-bdf+acgi-adg-bcg-bdgi = acf+acgi+afdi-adg + bcfi-bcg-bfd-bdgi

As the two sides of the equation are equal, the equation is true.

C.) x−y=y−x

x-y=y-x\\\\(a+bi)-(c+di)=(c+di)-(a+bi)\\\\a+bi-c-di=c+di-a-bi

As the two sides of the equation are not equal, the equation is not true.

D.) (x+y)+z=x+(y+z)

(x+y)+z=x+(y+z)\\\\(a+bi+c+di)+f+gi = a+bi+(c+di+f+gi)\\\\a+bi+c+di+f+gi = a+bi+c+di+f+gi

As the two sides of the equation are equal, the equation is true.

E.) (x−y)−z=x−(y−z)

(x-y)-z=x-(y-z)\\\\(a+bi-c-di)-f-gi = a+bi-(c+di-f-gi)\\\\a+bi-c-di-f-gi =a+bi-c-di+f+gi)

As the two sides of the equation are not equal, the equation is not true.

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Learn more about Complex Number:

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6 0
1 year ago
Choose all of the equations that are equivalent to 8k=20.
Sholpan [36]
You have to give the choices.
4 0
2 years ago
A passenger train traveled 100 miles in the same amount of time it took a freight train to travel 80 miles. The rate of the frei
andreev551 [17]

Answer:

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Step-by-step explanation:

In this question, we are asked to calculate the rate at which a particular passenger train is traveling.

We use the information in the question to answer as follows;

Firstly, we identify that they traveled at the same time but their distances are different. This means that their speed must be different also.

Mathematically, we know that time can be calculated as distance/ time.

Let us say the speed at which the passenger train traveled is x miles per hour. This means that the speed of the freight train which was 5 miles per hour slower would be (x-5) miles per hour.

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100x-80x = 500

20x = 500

x = 500/20

x = 25 miles per hour

6 0
3 years ago
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