The ratio of the sides of a triangle is 8:15:17. Its perimeter is 480 inches. Find the length of each side of the triangle.​

Steps to solve:

3 < x + 3 < 6

~Subtract 3 to everything

0 < x < 3

Best of Luck!

Answer:

Step-by-step explanation:

4x-2y=8

divide by 8

[tex]\frac{x}{2}+\frac{y}{-4}=1\\x~intercept=2\\y~intercept=-4\\also ~2y=4x-8\\y=2x-4\\slope=2\\[/tex]

so graph lies in third and fourth and first quadrants.

The  graph lies in third and fourth and first quadrants.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.

Given:

4x - 2y = 8

Now, make the equation in standard form

4x/8 - 2y/8 = 8/8

x/2- y/4 = 1

Now,

y- intercept is -4

and x- intercept is 2.

Also, we can write  4x - 2y = 8 as

y=  2x-4 and slope= 2

Hence, graph lies in third and fourth and first quadrants.

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The candle burns at a rate of 1 inch per hour.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

here, we have,

Given,

A 12-inch candle burns down in 12 hours.

∴ The rate at which it burns per hour is the total length of the candle divided by the total time it brunt for which is,

= (12/12) inch/hr.

= 1 inch/hr,

Hence, The candle burns at a rate of 1 inch per hour.

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complete question:

A 12 inch candle burns down in 12 hours. at what rate does the candle burns, in inches per hour?​

Answer:

Non-colinear means that three given points do not have a single line connecting all 3 of the points.

Step-by-step explanation:

this is your answer.........

Answer:

conditional equation

Step-by-step explanation:

Collecting terms on both sides, we get

6x−10−86x−18=9+4x−4x=9

Adding 18 to both sides of the equation, we get

6x=27

This can be solved by dividing by 6 on both sides of the equation, which gives a unique solution of 92. So, this is a conditional equation.

Answer:

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Step-by-step explanation:

As it is mentioned in the question that the probability of faces like 2,3,4,5 are not affected so in this case

P(2) = P(3) = P(4) = P(5) = 1 ÷ 6

And,  P(6) = 0.2

As we know that

P(1) + P(2) +P(3) +P(4) +P(5) +P(6) = 1

This results P(1) = 2 ÷ 15

So,

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Hence, the correct option is 2nd

Answer:

-21

-29-(-8)=-21

Answer: Equation 2

Step-by-step explanation:

Equation 1 Square of residual .28 .167 .19

Sum of Square Residual :

( .28 + .167 + .19) = 0.637

Equation 2 Square of residual .005 .110 .09

Sum of Square Residual :

(.005 + .110 + .09) = 0.205

Equation 3 Square of residual .125 .125 .26

Sum of Square Residual :

( .125 + .125 + .26) = 0.51

Equation 4 Square of residual .212 .009 .08

Sum of Square Residual :

( .212 + .009 + .08) = 0.301

Equation 2 is the best potential line of best fit as it has lowest value of sum of square residual. And the best line of fit is one which the sum of Squared error is lowest.

Answer:

see explanation

Step-by-step explanation:

Euler's formula for polyhedra is

V- E + F = 2

where V is number of vertices, E number of edges and F number of faces

Answer:

line one should have a y-intercept at (0,2).

Step-by-step explanation:

Answer: A

Step-by-step explanation: line one should have a y-intercept at (0,2).

Answer:

Step-by-step explanation:

Given the function :

f(x) = 7x - 8

Evaluate the given values of the independent variable and simplify.

a. f(7)

b. f(x + 5)

c. f(-x)

A.) f(7)

f(7) = 7(7) - 8

= 49 - 8

= 41

B.) f(x + 5)

7(x + 5) - 8

7x + 35 - 8

7x - 27

C.) f(-x)

7(-x) - 8

-7x - 8

Answer:

A=42.25

Step-by-step explanation:

6.5^2

Answer:

x=24

Step-by-step explanation:

Answer:

If you round to the nearest thousand, you get; 37,000                                                                            

Answer:

Step-by-step explanation:

it’s B

7 and 4 is the only number that has a unique chance. The correct option is B.

Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.

Let's analyze the possible sums of both dice, using the notation:

Dice₁ + Dice₂ = sum.

Also remember that we have 2 dice, with 6 options each. The total number of combinations is 6 x 6 = 36. we have 36 possible outcomes.

I will start at the extremes, the minimum that we can sum is 2, and the maximum is 12, then:

We can have 2 if:

1 + 1 = 2

Only one permutation.

and 12 if:

6 + 6 = 12

Again, only one permutation.

so 2 and 12 have the same chance (1 out of 36)

now, to have 3 we can have the:

2 + 1 = 3

1 + 2 = 3.

and to have 11

5 + 6 = 11

6 + 5 = 11

Again, 3 and 11 have the same probability (2 out of 36 options)

And now we can see a pattern.

4 and 10 will have the same chance.

5 and 9 will have the same chance

6 and 8 will have the same chance

7 is the only number that has a unique chance (and it has the largest one)

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Answer:

[tex]g = \sqrt{\frac{S}{3kr^{-5}}}[/tex]

Step-by-step explanation:

Given

[tex]S=gr^{-5}gk*3[/tex]

Required

Solve for g

[tex]S=gr^{-5}gk*3[/tex]

Split into different entities

[tex]S=g * r^{-5}*g*k*3[/tex]

Reorder in terms of like terms

[tex]S=g*g * r^{-5}*k*3[/tex]

[tex]S=g^2 * r^{-5}*k*3[/tex]

[tex]S=g^2 * 3kr^{-5}[/tex]

Solve for [tex]g^2[/tex]

[tex]g^2 = \frac{S}{3kr^{-5}}[/tex]

Take square root of both sides

[tex]g = \sqrt{\frac{S}{3kr^{-5}}}[/tex]

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

all sides are equal

Answer:

4

Step-by-step explanation:

[tex]g(x)=10+2x\\\\g(-3)=10+2(-3)\\\\g(-3)=10+-6\\\\g(-3)=10-6\\\\\boxed{g(-3)=4}[/tex]

Hope this helps.

Answer:

1)x=13-15 => x=-2

2)-6x=-30 => x=5

3)x/4=18 => x=72

4)x-2=-11 => x=9

Step-by-step explanation:

Answer:

992,016

Step-by-step explanation:

[tex] {996}^{2} \\ = {(1000 - 4)}^{2} \\ = {1000}^{2} - 2 \times 1000 \times 4 + {4}^{2} \\ = 1000000 - 8000 + 16 \\ = 1000016 - 8000 \\ = 992,016 \\ [/tex]

Answer:

RATIONAL NUMBER

Step-by-step explanation:

22/44=2/4

IT IS IN THE SIMPLEST FORM AND IN THE FORM OF P/Q where as q is not equal to 0.

Answer:

1?

Step-by-step explanation:

if you go from -6 to 3 it is 9 spaces. so 7 spaces equals one.

Answer:

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

[tex]74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]

Step-by-step explanation:

Given

74.052

Required

Write in Expanded Form

In Decimals

[tex]7 = 7 * 10[/tex]

[tex]4 = 4 * 1[/tex]

[tex]0 = 0 * 0.1[/tex]

[tex]5 = 5 * 0.01[/tex]

[tex]2 = 2 * 0.001[/tex]

Bring these together,

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

In Fraction

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

Convert decimals to fraction

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * \frac{1}{10} + 5 * \frac{1}{100} + 2 * \frac{1}{1000}[/tex]

[tex]74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]

Answer:

63 centimeters

Step-by-step explanation:

Answer: 63 cm tall.

Step-by-step explanation: Yolanda's sunflower is 12 cm more than Jean's sunflower. Yolanda's sunflower is 75cm. To find Jean's sunflower's size in cm simply subtract 12 cm from 75 cm.

75 = 12 = 63

So, Jean's sunflower is 63 centimeters tall.

Answer:

Estimation is the process of arriving at an approximate answer to a question. It is helpful to use estimation when you need to calculate something fast or the data/information your given is uncertain or unstable  

Step-by-step explanation: