Answer these questions

A rectangular rug divided by its diagonal becomes a right angle triangle

The length and width of the rug is 14.1 feet by 11.1 feet

Diagonal = 18 feet

width = x

length = x + 3

diagonal ² = length ² + width ²

18² = x² + (x + 3)²

18² = x² + x² + 6x + 9

324 = 2x² + 6x + 9

2x² + 6x + 9 - 324 = 0

2x² + 6x - 315 = 0

solve using quadratic formula

x = - b ± √b² - 4ac / 2a

= - 6 ± √6² - 4×2×-315 / 2×2

= -6 ± √36 - (-2520) / 4

= -6 ± √36 + 2520/4

= -6 ± √2556 / 4

= - 6 ± 6√71 / 4

= -6/4 ± 6√71 / 4

= -3/2 ± 3√71/2

x = 11.1392 or -14.1392

The value of x can't be negative

So,

x = 11.1 to the nearest tenth

Therefore, the value of width and length is

width = x

= 11.1 feet

length = x + 3

= 11.1 + 3

= 14.1 feet

Learn more about Pythagoras theorem:

https://brainly.com/question/20545047

Answer:

Domain: 3, 6, 8, 9, 7

Step-by-step explanation:

Domain: 3, 6, 8, 9, 7

(Domain, Range)

The domain of a function or relation is the set of all possible independent values the relation can take.

Hope this helps :)

Answer:

Domain: {3, 6, 8, 9, 7}

Step-by-step explanation:

A relation is a set of ordered pairs, (x, y). The domain of a relation is the set of all x-values. Therefore, the following is the domain of the given relation:

Domain: {3, 6, 8, 9, 7}.

Answer:

x=3

Step-by-step explanation:

The equation is x² + 5x = 24, so 3² +15 would be the perfect match. This is because 9+15=24.

Answer:

4.7 x [tex]10^{7}[/tex] miles

Step-by-step explanation:

You know Mars is further away from the sun

so the distance between earth and mars will be

1.4x[tex]10^{8}[/tex]-9.3x[tex]10^{7}[/tex]

14x[tex]10^{7}[/tex]-9.3x[tex]10^{7}[/tex]

4.7 x [tex]10^{7}[/tex] miles

Answer:

The final total including tax is 838.5

The sale tax is 58.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Length = x

width = x - 7

height = x - 10

volume = 600 in^3

Volume = L * w * h

600 = x * (x - 7)*(x - 10)

600 = x * (x^2 - 17x + 70)

600 = x^3 - 17x^2 + 70x

x^3 - 17x^2 + 70x - 600 = 0

There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.

a = 1

b  = - 17

c = 70

d = - 600

There is only 1 real solution: x = 15

L = 15

w = 8

h = 5

That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.

Answer:

y=4x+9

Step-by-step explanation:

The slope intercept form is [tex]y=mx+b[/tex]

So m=4 and we plug it into the equation [tex]y=4x+b[/tex]

Since there are x point is -1 and y point is 5 we plug those in replacing the corresponding variables [tex]5=4(-1)+b[/tex]

So the equation becomes [tex]5=4+b[/tex]

We add 4 to both sides [tex]5=4+b\\+4=+4[/tex] so 9 equals b

Then we rewrite the whole equation as [tex]y=4x+9[/tex]

Answer:

x = 4

Step-by-step explanation:

[tex]6 - 6x = 5x - 9x - 2\\6 - 6x = - 4x - 2\\- 6x -(-4x)=-2-6\\-2x=-8\\x=-8/-2=4[/tex]

Answer: 3395 dollars

Step-by-step explanation:

First, the question said that Miss Reyes earns 3500 dollars. But the tax is 30%. Than, the tax is 3500 times to 30%. If you calculate it, it will be 105 dollars. Now, we can subtract the 105 from 3500. It equals to 3395 dollars.

Answer:

0.14 per ounce

Step-by-step explanation:

1.26 ÷ 9= 0.14

Hope this helps! :)

The unit price of peach would be $0.14.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a 9-ounce can of peaches sells for $1.26.

9-ounce can of peaches sells for $1.26.

Then -

1 ounce of peach will cost = (1.26/9) = $0.14

Therefore, the unit price of peach would be $0.14.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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#SPJ2

the answer is 524.47500

can u sub 2 my channel its Raging Sushi and can u like the only video there is

Answer:

65.5 in

Step-by-step explanation:

Ok, the two triangles are similar, since they're both right triangles, the angle in C are congruent, and the third has to be by difference. It means that the distance DC is proportional to 44 inches, on the proportion[tex]x:44 = 11.5:23.5 \rightarrow x= 44\frac{11.5}{23.5} = 21,5 in[/tex] To this we need to add the 44 inches traveled in the first part, to get a total of 65.5 in

Answer:

A.

Step-by-step explanation:

The triangles are similar, so we can estimate that the ratio between them is 1:2 (23.5/11.5~~2). Now we have that 44/2 is 22 and 44+22 is 66. The closest answer to 66 is 65.5, which is A.

Answer:

2.5

Step-by-step explanation:

5/4 = x/2

yeah-ya... right

STEP1:

Equation at the end of step 1

(2²x³• 2) • x³

STEP2:

Multiplying exponents:

2.1 2² multiplied by 2¹ = [tex]2 {}^{(2 + 1)} [/tex] = 2³

Equation at the end of step2:

2³x³ • x³

STEP3:

Multiplying exponential expressions :

3.1 x³ multiplied by x³ = [tex] {x}^{(3 + 3)} [/tex] = x⁶

Final result :

2³x⁶

Answer:

try  maltpling 3 *2*2

Step-by-step explanation:

Answer:

I don't know just guess sorry

Let the number be x.

[tex] \frac{7}{2x} = 5 \\ = > \frac{1}{2x} = \frac{5}{7} \\ = 2x = \frac{7}{5} \\ = > x = \frac{7}{5 \times 2} \\ = > x = \frac{7}{10} [/tex]

[tex]x = \frac{7}{10} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

i think it's the 6th option

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

(b)

[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 1) = 30 - 3x , distribute parenthesis on left side

4x + 2 = 30 - 3x ( add 3x to both sides )

7x + 2 = 30 ( subtract 2 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Answer:

20yd²

Step-by-step explanation:

6 × 6 = 36

4 × 4 = 16

36

-16

20

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is ~

[tex] \boxed{5 \sqrt{3} }[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The Triangle stated in the diagram is a right angled Triangle, so

Answer:

1. Recursive formula: b(n-1)+2

2. Explicit formula: −2n+5

3. -20

4. 2, 11, 20, 29, 38, 47, 56, 65, 74, 83, 92, 101, 110, 119, 128

Step-by-step explanation:

Answer:

straight line, C

Step-by-step explanation:

The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.

I hope this helps.

Answer:

[tex]\left \{ {{x^2+y^2+z^2=434} \atop {x-y-z=0}} \right.[/tex]

Step-by-step explanation:

Step-by-step explanation:

I said in your comments, you can solve it for each variables

you have 2 answers

1) 2x<y+3

[tex]x \leqslant \frac{y + 3}{2} [/tex]

2)

[tex]y \geqslant 2x - 3[/tex]

Answer:

Mike

Step-by-step explanation:

17% = .17

.7 = .70

All that's left is to compare the amounts of oi for each person and decide who has the most, which would be Mike. Hope this helps! (Rate brainliest!)

Answer:

Brett used the most

Step-by-step explanation:

Martha used = 17%

Brett used = 0.18 = 18/100 = 18%

Mike used = 0.7 × 100/8 = 8.75% (he only used 0.7 of ONE of the gallons in the can, not of the total oil in the can)

Therefore, Brett used the greatest amount of oil.

Answer:

always

Step-by-step explanation:

The terms of a polynomial are _always_ monomials.

A polynomial is a sum of monomials.

Answer:

3a+4+4+6+2a

5a+14

Step-by-step explanation:

hope i got it right

Step-by-step explanation:

we know,

perimeter = sum of all sides

so a/q perimeter of the given figure is

→ 3a + 4 + 4 + 6 + a + 4 + 2 + 2a

→ 6a + 20

therefore, perimeter of the given figure is 6a + 20.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

y = 10

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 20 when x = 4 and z = 3 , then

20 = k × 4 × 3 = 12k ( divide both sides by 12 )

[tex]\frac{20}{12}[/tex] = k , that is

k = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] xz ← equation of variation

When x = 2 and z = 3 , then

y = [tex]\frac{5}{3}[/tex] × 2 × 3 = 5 ×  2 = 10