A company produces circular drink coasters. the equation x2 y2 = 18.0625, with units in inches, represents the size of a coaster. each coaster is cut from a square piece of cardboard. what is the minimum possible area of each cardboard piece? 4.25 in2 8.5 in2 18.0625 in2 72.25 in2

Answer:

Radius: 8.5 inches

Area ≈ 226.98

Circumference ≈ 53.42

Step-by-step explanation:

2πr = formula for circumference of a circle

πr² = formula for area of a circle

radius of a circle = (1/2)d

Hello!

Let's solve this question with the information given to us in the question.

We were given two equations:

3x + y = 1

y = 6 - 4x

The question asks us to plug in our 2nd equation into the "y" variable of the first equation.

Plug in and solve:

3x + y = 1

Substitute "6 - 4x" for y

3x + 6 - 4x = 1

Simplify

-x + 6 = 1

Therefore, your answer would be the -x + 6 = 1 choice in your answer box.

Answer: -x + 6 = 1

The composite figure can be decomposed to two semicircles and a rectangle so as to find the area.

Area is the amount of space occupied by a two dimensional shape or object.

The area of a composite figure can be decomposed to smaller figures so as to find the area.

The composite figure can be decomposed to two semicircles and a rectangle so as to find the area.

Find out more on area at: https://brainly.com/question/25292087

Answer:

A. as two semicircles and a rectangle

Step-by-step explanation:

i did it

Answer:

where is the full question?

Step-by-step explanation:

Answer: (1)

Step-by-step explanation:

Answer:

The answer i 9

Step-by-step explanation:

If the ball bounces 2/3 of the height of 9, and a 1/3 of 9 is 3, then 6 is the answer.

Using the degree and radian relation π/4 radian equals 45°.

Given angle =π/4 radian

π radian equals 180 degrees means 1 radian equals 180/π degree or we can say 1-degree equals π/180 radian.

Since, 1 radian equals 180/π degree.

So, π/4 radian =180/π * π/4 degree.

π/4 radian = 45°.

So, π/4 radian equals  45°.

Therefore, using the degree and radian relation π/4 radian equals 45°.

To get more about angles visit:

https://brainly.com/question/25770607

Answer:

C. 418 cm²

Step-by-step explanation:

Rectangle

= s × s

= 19 × 19

= 361 cm²

Triangle

= 1/2 × 6 × 19

= 57 cm²

361 + 57 = 418 cm²

So, therefore your answer is 418 cm²

[tex] \qquad \qquad \qquad\large\overbrace{\underbrace{\underline{ \boxed{ \sf \:Answer }}}}[/tex]

Let's use distance formula :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {6}^{2} + {6}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {6}^{2}(1 + 1) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: 6\sqrt{ 2 } \: \: units[/tex]

Use the formula shown:

6^2 + 2.5^ = c^2

36 + 6.25 = c^2

42.25 = c^2

Take the square root of both sides:

c = 13/2 as a fraction or 2.5495 as a decimal (round off as needed)

Answer:

a) exponential growth   b) 8000  c) 1.02  d) f(x) = 8000(1+.05/4)^(4)(5)   e)  $11887.58

Step-by-step explanation:

This situation is exponential growth because the money will be increasing over time.  The initial amount is the amount invested in the beginning so in this case 8000.  The growth factor is found by 1+r/n where r is the rate and n is the number of compounds per year so 1 + .08/4 where the r is expressed as a decimal and compounding quarterly means 4 times per year.  The function is modeled by f(x) = P(1 +r/n)^nt.  Evaluating the function gives f(x) = 8000(1 + .08/4)^(4*5).

y = mx + p

p = - 7 since the line cuts the y-axis in -7

and m the slope ?

we choose 2 points (-2 ; 0) and (0 ; - 7)

we move of 2 units towards the left to go down of 7 units

=> m = - 7/2

y =  - 7/2x - 7

or

y = -3,5x - 7

Answer:

It has 6 faces, So, each face has an area = 486/6 = 81 sq cm. Side of the cube =√81= 9 cm. Hence, volume of the cube = 9^3 = 729 cm^3.Jul 18, 2019

Step-by-step explanation:

Hope it's help

There's a mistake in your question it's not T.S.A of cuboid it is T.S.A of cube . Because it's not possible to find the length , breadth and height of cuboid without giving only it's Total Surface Area .

If TSA of cube box is 486 cm square , find its volume .

For solving such types of questions we must have knowledge of faces of shapes and formula for surface areas and volumes of three dimensional shapes .

We know that cube have 6 faces . So area of each faces is equal to :

[tex] \rightarrow \: \cancel\frac{486}{6} \: cm \: sq.[/tex]

Now , dividing 486 by 6 :

[tex] \rightarrow \: 81 \: cm \: sq.[/tex]

Therefore , each square faces of cuboid have area of 81 cm square .

Now , We know that area of square :

Therefore , side/edge of cube is of 9 cm ..

Now , finding volume of cube :

We know that volume of cube is equal to ,

Therefore , volume of cube is 729 cm³ .

Answer:

240 :)

Step-by-step explanation:

400 x 0.60 = 240

Have a great day!

Please rate and mark brainliest!!

Answer:

240

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Basically you plug in -6 where all the x's are.

(-6)² + 7(-6) + 8, Multiply -6 * -6 (AKA (-6)²)

36 + 7(-6) + 8, Multiply 7 by -6

36 - 42 + 8, Add 36 + 8

44 - 42, Subtract

2

Answer:

f(9.5) = 558.02.

Step-by-step explanation:

Because it is an exponential function, it can be written: y = (a)(b)^x

Now substitute in the two known points:

72 = (a)(b)^7.5 and

2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2

72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)

36 = b^3.5: => To isolate b take the 3.5 root of both sides

{3.5 root}(36) = {3.5 root}(b^3.5)

2.783927 = b

Now to solve for a

2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a

Equation: y = (0.0332965)(2.783927)^x

Now plug in 9.5 for x

(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02

Answer:

$96.25

Step-by-step explanation:

In the morning, this worker was in for a total of 4 hours. Since the wage is $11/hr, we have to multiply 4 by 11.

11 * 4 = 44

In the afternoon, they worked for 4 hours and 45 minutes. Now, we have to multiply 4 3/4 (which is the fraction form of 4 hours and 45 mins) by 11.

11 * 4 3/4 = 52.25

Now, to find the total pay, we add together both the morning and afternoon pays.

44 + 52.25 = 96.25

Therefore, the total pay is $96.25

I hope this helps!! Have a lovely day!! :)

Answer:

$96.25

Step-by-step explanation:

Hours worked in the morning = 12:00 - 8:00

                                                  = 4 hours

Hours worked in the afternoon = 17:30 - 12:45

                                                    = 4 hours 45 minutes

Total hours worked = 4:00 + 4:45

                                = 8 hours 45 minutes

                                 [tex]=8\dfrac{45}{60} \ hours\\\\= 8\dfrac{3}{4}\\\\\\= \dfrac{35}{4} hours[/tex]

Wage = [tex]\dfrac{35}{4}*11[/tex]

         = $96.25

Answer:

[tex]884^{-7}[/tex]

Step-by-step explanation:

Start by simplifying the denominator of the fraction. When multiplying exponents of the same base, you can add the exponents. This is also known as the product rule.

[tex]a^x\cdot a^y=a^{x+y}[/tex]

["a" is the base, and "x" and "y" are the exponents]

Using this we find...

[tex]884^{58}\cdot884^{46}=884^{58+46}=884^{104}[/tex]

When dividing exponents of the same base, you can subtract the exponents. This is also knows as the quotient rule.

[tex]a^x\div a^y=a^{x-y}[/tex]

Using this we find...

[tex]\frac{884^{97}}{884^{104}}=884^{97-104}=884^{-7}[/tex]

Answer:

[tex]884^{-7[/tex]

Step-by-step explanation:

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Before we begin solving, let's review a few rules of exponents.

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≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

[tex]\huge\fcolorbox{blue}{red}{Answer}[/tex]

════════════════════

[tex]\frac{ x }{ 3 } +6-2x=-6[/tex]

[tex]x+18-6x=-18 [/tex]

[tex]-5x+18=-18 [/tex]

[tex]-5x=-18-18 [/tex]

[tex]-5x=-36 [/tex]

[tex]x=\frac{-36}{-5} [/tex]

[tex]x=\frac{36}{5} [/tex]

[tex]= 7 \frac{1}{5}[/tex]

[tex]= 7.2[/tex]

So the answer is [tex]x = 7.2[/tex] or [tex]= 7.2[/tex]

══════════════════════

Step-by-step explanation:

#Carry on learning

Answer:

n=5     x=6

Step-by-step explanation:

2n+1 +n = 16

3n+1 =16

3n=15

n=5

    2x+x+x+1 =25

4x+1=24

4x=24

x=6

Answer:

not sure if its correct but let me know if its incorrect

thank you !

Answer: x=12, (MR)=55

Step-by-step explanation:

Answer:

Perimeter=25

Step-by-step explanation:

HOPE THIS HELPS YOU

Answer:

B

Step-by-step explanation:

It's where the line goes over the x line

Answer:

B,

Step-by-step explanation:

The zeros are the x values  where the graph crosses the horizontal x-axis.

These are at x = 0 and x = 5.

Answer:

It should be a rhombus :)

Let the number to be added be A

Now,

[tex]\begin{gathered}\implies\quad \sf −5x^3 + 4x − 3 + A = x^2 − x − 1 \\\end{gathered} [/tex]

Transposing (−5x³+ 4x − 3 ) to other side-

[tex]\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 -( −5x^3 + 4x − 3) \\\end{gathered} [/tex]

Remember if there is a -ve sign before a bracket the signs of whole of the terms changes on opening bracket

[tex]\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 + 5x^3 - 4x + 3\\\end{gathered} [/tex]

Putting like terms together -

[tex]\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 - x -4x +3 -1 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 -5x +2 \\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]Therefore, 5x³+x²-5x +2 should be added to −5x³+ 4x − 3 to get x²− x − 1

Answer:i don’t know  the answer the answer but it’s f

Step-by-step explanation:

Step-by-step explanation:

let ratio be 4x and 3x

sum : 490$

4x+3x = 490

7x=490

x=490/7

Hence x = 70

first daughter gets = 4x =4 x 70 = 280

second daughter gets =3x = 3x 70 = 210

first daugter gets the larger share