which solid does the net form? picture below
A hexagonal prism
B hexagonal pyramid
C rectangular prism
D rectangular pyramid

Answer:

Not a Proportional Relationship ; No Constant of Proportionality

Step-by-step explanation:

Consider the first example, 4 hours of parking costs $ 10. From this we can derive the ratio 4 : 10, so that hours parked : fee for parking is a common ratio among the two examples, the other being 5 : 12;

[tex]4 : 10, Simplify\\2 : 5, Take As Fraction,\\Solution; 2 / 5ths\\[/tex]

[tex]5 : 12, Simplify\\( Can't Be Simplified Further ) - Take as Fraction,\\Solution; 5 / 12ths[/tex]

Considering that the fractions when compared are not similar, ( 2 / 5, and 5 / 12 ) they don't have a proportional relationship, and thus have no constant of proportionality

Solution; Not a Proportional Relationship

Answer:

y ≥ [tex]\frac{1}{3}[/tex]x - 1

Step-by-step explanation:

First, determine the slope of the line. We can see that the slope is [tex]\frac{1}{3}[/tex], because the slope has less than 1 y interval per every x interval. This means that the line is less steep. There are only 2 slope choices, [tex]\frac{1}{3}[/tex], -[tex]\frac{1}{3}\\[/tex], and 3. We can tell that the slope is positive, but it must be [tex]\frac{1}{3}\\[/tex] because it is clearly less steep than a 3 slope line.

Now, look at the portion that is shaded. It is above the line, and this means that y is greater than the equation given. We can tell it is greater than or equal to, because the line that represents the equation is shaded as well. If it was only greater than and not equal to, the line would not be shaded.

Hope this helps ! :) Please feel free to ask me any questions!

Answer:

c

Step-by-step explanation:

its not too complicated, look

to get from 2 to 5 u gotta multiply by 2

so C is saying that Y equals 2 times X which would be: 4 equals 2 times 2

Or 12 equals 2 times 6

Answer:

C

Step-by-step explanation:

Rise over run is [tex]\frac{12-4}{6-2} = \frac{8}{4}=2[/tex]

so y=2x

Answer:

79 degrees.

Step-by-step explanation:

It is just a rule of trigonometry that all the angles inside ANY triangle will add up to 180 degrees.

There's only 3 possible angles in a triangle, so if you know what the sum of 2 are, its easy to find the last one.

All you have to do is 180 - 101, which equals 79 degrees.

Hope this helped : )

Answer:

5

Step-by-step explanation:

Given is a right angled triangle.

Therefore, by Pythagoras theorem:

[tex] {(2x + 3)}^{2} = {x}^{2} + {(2x + 2)}^{2} \\ 4 {x}^{2} + 9 + 12x = {x}^{2} + 4 {x}^{2} + 4 + 8x \\ 9 + 12x = {x}^{2} + 4 + 8x \\ {x}^{2} + 4 + 8x - 12x - 9 = 0 \\ {x}^{2} - 4x - 5 = 0 \\ ({x}^{2} - 4x + 4 )- 4 - 5 = 0 \\ {(x - 2)}^{2} - 9 = 0 \\ {( x - 2)}^{2} = 9 \\ x - 2 = \pm \: \sqrt{9} \\ x - 2 = \pm 3 \\ x = 2 \pm 3 \\ x = 2 + 3 \: \: or \: \: x = 2 - 3 \\ x = 5 \: \: or \: \: x = - 1 \\ \because \: x \: can \: not \: be \: negative \\ \therefore \: x \neq \: - 1 \\ \therefore \: x = 5[/tex]

Answer: 5,559.89 kilograms

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Mass = π/4 (diameter) ^2 (height) (density)

Replacing with the values given and solving for M (mass)

M = π/4 (0.52) ^2 (34) (770) = 5,559.89 kg.

The mass of the trunk is 5,559.89 kilograms

Feel free to ask for more if needed or if you did not understand something.

Answer:

6 3/4 miles

Step-by-step explanation:

We can use ratios to solve

20.25 miles         x miles

------------------ = ------------

3 hours              1 hours

Using cross products

20.25 * 1 = 3x

Divide each side by 3

20.25 /3 = x

6.75 = x

Changing to a fraction

6 3/4

Answer: Each friend will pay £3.75

Step-by-step explanation:

4 friends pay £15, 12 will pay

12/4 x 15 = £45

Each will pay 45/12 = £3.75

Answer:

20%

Step-by-step

60/x%=12

12 is 1/5 of 60

1/5=20%

Answer:

y

Step-by-step explanation:

Associative property is when we change the order of the bracket / can solve any order

So 1/3(3y)

= (1/3x 3)y

= 3/3y

= 1y or simply y

Answer:

(45,60)

Step-by-step explanation:

in a parallelogram, opposite angles are equal measure

2x-10 = y + 20

angles that lie on the same line add up to 180, since alternate angles of parallel lines and a transversal are equivalent

2x + 10 + 2x - 10 = 180

solving the equation with only Xs

4x = 180

x = 180/4 = 45

plug x = 45 into x and y equation

90-10 = y+ 20

80 = y + 20

y = 80-20 = 60

Answer:

150

Step-by-step explanation:

As the ratio is 5:3 ,

Number of boys / number of girls = 5 / 3

250 / number of girls = 5 / 3

Number of girls = 250 × 3/5

Number of girls = 150

Answer:

Variables

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Step-by-step explanation:

Answer:

78 inches.

Step-by-step explanation:

By definition, a foot is equal to 12 inches. That is modeled by the equation you wrote, y = 12x, where x is the amount of feet.

Substitute 6.5 for x. y = 12*6.5 = 78 inches.

I hope this helps!