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4 years ago

Diego is making a large mural. He draws a hexagon with a perimeter of 10.5 meters. Each side of the hexagon is the same length.

Mathematics

1 answer:

miss Akunina [59]4 years ago

7 0

Answer:

Part A: 6a = 10.5 and a = 1.75 meters.

Part B: $3.87.

Step-by-step explanation:

Part A: Diego draws a hexagon with a perimeter of 10.5 meters and each side of the hexagon is the same length.

Now, the hexagon has 6 sides and if each side is of length 'a' meters, then the equation that models the situation is

6a = 10.5 ......... (1) (Answer)

⇒ a = 1.75 meters. (Answer)

Part B:

The total cost of supplies to paint the mural is $38.70. Diego and 9 friends divide the cost equally.

Hence, the total cost will be divided into 10 persons.

Therefore, each person will get $\frac{38.70}{10} = 3.87$ dollars. (Answer)

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3 years ago

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Answer: part 1

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3. Current will increase

Explanation:

In Ohm's law the equation for current is current = voltage / resistance.

In order to explain how current is effected when resistance decreases while voltage stays the same, lets represents the situations with some possible inputs.

Let's compare 3 different closed circuits all with a voltage of 10V.

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In circuit 2, the resistance is 2 ohms.

In circuit 3, the resistance is 1 ohms.

The current of:

Circuit 1 = Voltage / Resistance = 10 V / 5 ohms = 2 Amps

Circuit 2 = Voltage / Resistance = 10V / 2 ohms = 5 Amps

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As you can see in this representation, as the resistance in a circuit increases while the voltage is constant, the total current is increased.

4. The resistance of a conductor is the ratio of the voltage

between its ends to the current through it.

If the voltage between the ends of a light bulb's filament

increases but the filament's resistance remains constant,

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Part 2

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3 years ago

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ser-zykov [4K]

Answer:

Step-by-step explanation:

Make a proportion.

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3 years ago

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Choose the equivalent system of linear equations that will produce the same solution as the one given below. (1 point) 4x − 2y =

goldenfox [79]

Answer:

<h3>Option d) 4x + 2y = 10 and 8x = 16 is correct</h3><h3>Therefore 4x + 2y = 10 and 8x = 16 equations have equivalent solution (2,1) is same as the solution of given linear system of equations</h3>

Step-by-step explanation:

Given equations are

$4x-2y=6\hfill (1)$

$2x+y=5\hfill (2)$

<h3>To find the the equivalent system of linear equations that will produce the same solution as for the given equation :</h3>

First find the solution to the given system of equations by elimination method

Multiply the equation (2) into 2 we get

$4x+2y=10\hfill (3)$

Now adding the equations (1) and ( 3) we get

$4x-2y=6$

$4x+2y=10$

_______________

$8x=16$

$x=\frac{16}{8}$

x=2

Therefore the value of x is 2

Substitute the value of x in equation (1) we get

$4(2)-2y=6$

$8-2y=6$

$-2y=6-8$

$-2y=-2$

$y=\frac{-2}{-2}$

y=1

Therefore the value of y is 1

Therefore the solution to the given system of equations is (2,1)

<h3>Now to find the equivalent system of equations have same solution (2,1)</h3>

Verify the equations $4x+2y=10\hfill (4)$ and 8x = 16

From 8x=16

$x=\frac{16}{8}$

x=2

Therefore the value of x is 2

Substitute x=2 in equation (4) we get

4(2)+2y=10

8+2y=10

2y=10-8

2y=2

$y=\frac{2}{2}$

y=1

Therefore the value of y is 1

Therefore the solution is (2,1)

<h3>Therefore option d) 4x + 2y = 10 and 8x = 16 equations have equivalent solution (2,1) is same as the solution of given linear system of equations </h3>

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3 years ago

Could someone help me solve this?

hoa [83]

It’s B! Hope this helps

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