Does x and y have a proportional relationship ?

[tex].....................part \: 1. \: a.......................... \\\boxed{ Perimeter} \\ the \: perimeter \: of \: a \: triangle \: is \: given \: by \to\\ \boxed{p} = a + b + c........ \\ were \: \\ a \: b \: and \: c \: are \: the \: sides \: \: of \:the \: triangle \: when : \\ a = su = \: ?\\ b = ut = 8 \: units\\ c = ts = 14 \: units\\ to \: find \: su \: we \: apply \: pythagorean \: rule\: \to \: \\ (su) {}^{2} = {(ut)}^{2} + {(ts)}^{2} \\ su = \sqrt{ {8}^{2} + {14}^{2} } \\ su = 2 \sqrt{65} \\ hence : \\ \boxed{p} = 8 + 14 + 2 \sqrt{65} \\ p = 22 + 2 \sqrt{65} \\\boxed{p= 38 .12\: units}\\ \\ .......................part \: 1. \: b....................... \\ \boxed{Area} \\ the \: area \: of \: a \: triangle \: is \: given \: by : \\ A = \frac{1}{2} bc \\ hence : \\ A = \frac{1}{2} \times 8 \times 14 \\ \boxed{ A = 56\: {units}^{2}}[/tex]

Note.......I took care of part 1 only......cos handling both questions on here will be much on me

or.......you can set part 2 as a different question......but applying the same methods for the triangle will definitly work for the rectangle.

♨Rage♨

Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Total area of parknand path way = 74,464 m2.

Dimension of park = 350m by 200m

Using the area of rectangle formula:

Area = Length * width

Area of park = 350m * 200m

Area of park = 70,000

Area of path = (74,464 - 70,000) = 4,464m2

Since path has uniform width, then width of the the path is sqrt(4464) = 66.8m

2.) the path of the park seems a bit narrow, hence, I wouldn't love children to bike and jog in such a narrow path

Answer:

So,you're answer will be 21°{degree}..

Answer:

  m∠YPQ = 159°

Step-by-step explanation:

m∠QRP = 107

m∠RQP = 52

m∠RPQ = x

m∠QRP + m∠RQP + m∠RPQ = 180°

107 + 52 + x = 180

159 + x = 180

x = 21°

m∠RPQ = x = 21°

m∠RPQ + m∠YPQ = 180°

21° + m∠YPQ = 180°

m∠YPQ = 159°

NO ITS IF THE LOWEST GRADE IS AN 88 THEN 25 PERCENT EARNED AN A IM SO SORRY

Answer:

If the lowest grade of an A is an 88% then about 25% of the students earned an A

Step-by-step explanation:

got it right on quiz

Answer:

First player

Range = 0.081

Mean = 0.283

Second player

range = 0.174

mean = 0.284

Step-by-step explanation:

Mathematically, range is highest value - lowest value while mean refers to the average ( sum of values/count of values)

For first player

Range = (0.319 - 0.238) = 0.081

Mean = (0.238 + 0.289 + 0.263 + 0.302 + 0.285 + 0.319)/6 = 0.283

For the second player;

Range = 0.348 - 0.174 = 0.174

mean = (0.259 + 0.348 + 0.334 + 0.278 + 0.311 + 0.174)/6 = 1.704/6 = 0.284

Answer:

-3 5/6

Here is what i did to solve it.:

-1 2/3 = -5/3, and -2 1/6 = -13/6.  The LCD is 6.

We convert -5/3 to -10/6 and combine this result with -13/6:

-10/6 - 13/6 = -23/6

This last result can be rewritten as -3 5/6.

Hope this help, stay safe and have a nice day! :))))))

Answer:

-3 5/6

Here is what i did to solve it.:

-1 2/3 = -5/3, and -2 1/6 = -13/6.  The LCD is 6.

We convert -5/3 to -10/6 and combine this result with -13/6:

-10/6 - 13/6 = -23

Answer:

6,000 or 6 hundredths

Step-by-step explanation:

Answer:

B. 6.5x10^5

Step-by-step explanation:

Hope this Helps :)

Answer:

No estoy seguro, intenta preguntarle a tu profesor

Step-by-step explanation:

The seamstress had 37/9 yards of material for each uniform.

In mathematics, division is a process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made.

Given that total amount of material = 148 yards

number of students in the concert band = 16

number of students in the symphonic band = 20

Total number of students = number of students in the concert band + number of students in the symphonic band

= 16 + 20 = 36

For 36 students, there are 148 yards of material.

Then for 1 student, there are 148/36 = 37/9 yards of material.

Therefore the seamstress had 37/9 yards of material for each uniform. So, option B is correct.

Learn more about division here -

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Answer:

14  28   28 22  23 19 12

Step-by-step explanation:

Answer:

7. B

8. C

9. E

10. A

11. D

Step-by-step explanation:

Answer:

Value of x: 110

Step-by-step explanation:

5+5=10

120-10=110

Answer:

95°

Step-by-step explanation:

The sum of interior angles in a pentagon is 540°

100° + 145° + 120° + 80° + x = 540°

445° + x = 540°

x = 95°

Answer:

65%

Step-by-step explanation:

325-195=130

130/200= 65

[tex]2 {x}^{2} + x - 1 = 2 [/tex]

Subtract sides -2

[tex]2 {x}^{2} + x - 1 - 2 = 2 - 2 [/tex]

[tex]2 {x}^{2} + x - 3 = 0 [/tex]

[tex](x - 1)(2x + 3) = 0[/tex]

_________________________________

[tex]x - 1 = 0[/tex]

[tex]x = 1[/tex]

##############################

[tex]2x + 3 = 0[/tex]

[tex]x = - \frac{3}{2} \\ [/tex]

_________________________________

Done♥️♥️♥️♥️♥️

Answer: I think its C on edge

Answer:

point on 4 and -4

Step-by-step explanation:

IxI = 4can either be 4 or -4

Answer:

just put the point on 4

Step-by-step explanation:

if it says incorrect i am very sorry

Answer:

y = -[tex]\frac{1}{2}[/tex]x + 5

Step-by-step explanation:

A perpendicular line is the negative reciprocal of the original, it doesn't matter what the y intercept is.

Answer:greater,greater,15

The printing rate for Printer B is

greater

than the rate for Printer A because the rate of 25 pages per minute is

greater

than the rate of

15

pages per minute for Printer A.

The answers to the fill ups are:

(a) greater than

(b) greater than

(c) 15

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

As, slope for printer A= 30-2/2-0

                                    = 30/2 = 15 pages per minute.

So, the rate of Printer A is 15 pages per minute.

Thus,

The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.

Learn more about graph here:

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Answer:

1.0723098

Yw :D

Answer:

increases It increases piggy piggy

Answer:

increases due to the presence of kinetic energy

Answer:

y + 5 = -3(x + 8)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Parallel Lines always have the same slope but different y-intercepts.

Step-by-step explanation:

Step 1: Define

Given (Parallel Line): y = -3x + 9

Point (-8, -5)

Step 2: Find variables

Slope m of parallel lines = -3

Step 3: Find parallel line equation

y₁ = -5

x₁ = -8

m = -3

y + 5 = -3(x + 8)

The raise was 5% which is 0.05 as a decimal.

For his new rate his original rate was multiplied by 1.05 ( original + 5%)

To find original amount, divide new amount by 1.05:

252 / 1.05 = 240

His original pay was £240

You can check by multiplying the original pay by 5% and adding:

240 x 0.05 = 12

240 + 12 = 252

Answer:

Monday

Tuesday

Step-by-step explanation:

Given the temperature data:

Mon _____ Tue _____ Wed _____ Thur ___ Fri

-2.5°F ___ - 1.9°F _____ 0°F _____ - 1.5°F _0.5°F

Days colder than - 1.75°F

Days colder than - 1.75°F are days whereby the temperature value is less than - 1.75

Hence,

-2.5°F < - 1.75°F = (Monday)

-1.9°F < - 1.75°F = (Tuesday)

Hence, temperature on Monday and Tuesday is colder than - 1.75°F

Answer:

Monday

Tuesday

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The y intercept is where the line crosses the Y (vertical) axis. In this case, it happens at y=2

The slope is the rate of change. For every 1 space it moves on the horizontal axis, it moves 3 vertical spaces. It is going down, so it is -3

Answer:

The relation {(1, 1), (3, 2), (6,3), (8,4)} is also a function ⇒ D

Step-by-step explanation:

The relation formed from a set of ordered pairs could be a function if every x-coordinate has only one y-coordinate corresponding to it

Examples:

Let us check all the relation to find which one is a function

∵ The relation is {(1, 6), (1, 7), (7, 8), (8, 9)}

∵ At x = 1, y = 6 and 7

→ x has two values of y

∴ The relation is not a function

∵ The relation is {(2, 3), (3, 2), (2, 4), (4, 2)}

∵ At x = 2, y = 3 and 4

→ x has two values of y

∴ The relation is not a function

∵ The relation is {(0, 1), (0, 2), (0, 3), (0,4)}

∵ At x = 0, y = 1, 2, 3, and 4

→ x has four values of y

∴ The relation is not a function

∵ The relation is {(1, 1), (3, 2), (6,3), (8,4)}

∵ At x = 1, y = 1

∵ At x = 3, y = 2

∵ At x = 6, y = 3

∵ At x = 8, y = 4

→ Every x has only one value of y

∴ The relation is a function

∴The relation {(1, 1), (3, 2), (6,3), (8,4)} is a function

Answer:

36x + 60y

explanation:

Answer:

36 x + 60 y

Step-by-step explanation:

Answer:

467 000 000

Step-by-step explanation:

4.67e-8 is rewritten as 4.67 x 10^-8.

Negative -> decimal with lots of places, Positive -> big, big number

Move the decimal place right 8 times so you end up with a small decimal.

4.67 -> 467000000

Answer:

The correct option is;

1, 6, 11, 15

Step-by-step explanation:

The given information are;

The function that defines the terms of the sequence is f(n) = f(n - 1) + 5

Where;

n = The number of the term

For n = 1, we have, f(1) = -4

The first four terms are therefore;

f(2) = f(2 - 1) + 5 = f(1) + 5 = - 4 + 5 = 1

f(3) = f(3 - 1) + 5 = f(2) + 5 = 1 + 5 = 6

f(4) = f(4 - 1) + 5 = f(3) + 5 = 6 + 5 = 11

f(5) = f(5 - 1) + 5 = f(4) + 5 = 11 + 5 = 15

The first four terms are; 1, 6, 11, 15

Answer:

83

Step-by-step explanation:

68-(-15)=68+15=83

Answer:

12oz or a whole can of soda in 1 hour 30 minutes.

Step-by-step explanation:

[tex]\frac {2} {3}[/tex] of 12 is 8, so that means the Johanna drinks 8oz of soda in 1 hour, this means that Johanna also drinks 12oz of soda in 1 hour 30 minutes.