Salena is making bracelets. She has 95 inches of string. Each bracelet uses 4 inches of string.

⇒x²+ 4² - x²+ 2x - 2x + 4 = 20

⇒ x² - x² + 2x - 2x + 4² + 4 = 20

⇒ 16 + 4 = 20

⇒ 20 = 20

RHS = LHS hence proved

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 0

Step-by-step explanation:

(a + b)² = a² +2ab + b²

(a +b)(a -b)= a² - b²

(x + 4)² - (x + 2 )(x - 2) = 20

x² + 2*4 *x + 4² - [x² - 2²] = 20

x² + 8x + 16 - [x² - 4]  = 20

x² + 8x + 16 - x²  + 4   = 20                 {(-1) is distributed x² and (-4)²}

x² - x² + 8x + 16 + 4     = 20 {Combine like terms}

                      8x + 20   = 20

                           8x      = 20 - 20

                               8x   = 0

x = 0

Answer:

12.53

Step-by-step explanation:

√(11²+(10-4)²)

= √157

= 12.53 (rounded to two decimal places)

Answered by GAUTHMATH

area of circle= 22/7×6×6

= 22/7×36

= 3.1×36

= 113.14

Answer:

[tex]36\pi[/tex]

Step-by-step explanation:

[tex]a = {6}^{2} \times \pi = 36\pi[/tex]

The calculated measure of the angle QSR is 68 degrees

From the question, we have the following parameters that can be used in our computation:

Angle b = 136 degrees

The measure of angle QSR can be calculated using

QSR = 1/2 * Angle b

substitute the known values in the above equation, so, we have the following representation

QSR = 1/2 * 136 degrees

Evaluate

QSR = 68 degrees

Hence, the measure of angle QSR is 68 degrees

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Answer:

The number is 4875

Step-by-step explanation:

Answer:

ARC= 15.7

ARC= 2(3.14)10(90/36)

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the graph crosses the x-axis and appears almost linear at the intercept, it is a single zero. If the graph touches the x-axis and bounces off of the axis, it is a zero with even multiplicity. If the graph crosses the x-axis at a zero, it is a zero with odd multiplicity.

Answer:

A= (3*X - 6[tex]\sqrt{x}[/tex])/(X-4)

A=(3*2 - 6[tex]\sqrt{2}[/tex])/(2-4)= -3+3[tex]\sqrt{2}[/tex]

A=(3*4 - 6[tex]\sqrt{4}[/tex])/(4-4) Unknown

Step-by-step explanation:

Answer:

Orange juice

Step-by-step explanation:

The unit rate is the cost for one unit (e.g. per jug). All other options display the cost for more than one unit (e.g. 3 bags; 10 pages; 2 dozen)

Answer:

As the number of retail stands increase by one, the daily revenue increases by $2,298.36 on average, provided that the number of female visitors and food stands remains constant.

Step-by-step explanation:

This is gross relationship of regression model, multiple regression model describes net relationship. The net effect on number of retail stands on daily revenue. The average increase in daily revenue as the number of retail stands increases by one while other variables remains constant.

Answer:

its octagon. first and last one it has total 8 sides

Answer:

x = 14

[tex]h^2 = p^2 + b^2\\h^2 = 7^2 + 12^2\\x^2 = 49 + 144\\x^2 = 193\\so, x = 13.89\\so, x = 14[/tex]

Answer:

99

Step-by-step explanation:

66 ÷ [tex]\frac{2}{3}[/tex]   = 66 * [tex]\frac{3}{2}[/tex] = 33* 3 = 99

Answer: Hello your question lacks vital information attached below is the vital information

Along with the image below, Use your knowledge of the unit circle and radian measure of angles to answer the following questions. [Note: When the questions ask you to consider circles and their angle in relation to the main circle, the question is referring to the location of the center of each circle.]

answer:

Circle 7 = π / 4

Circle 8 = 7π / 12

Circle 9 = 11 π / 12

Circle 10 = 5π / 4

Circle 11 = 19π / 12

Circle 12 = 23π / 12

Step-by-step explanation:

Given that 45° = π/4.

∴  All the six(6) circles ( 7 through 12 ) are separated by : 60° = π/3

The Radian measure of the remaining circles through 12 :

Circle 8 = π/3 + π /4 = 7π / 12

Circle 9 = π/4 + 2 π/3 = 11 π / 12

Circle 10 = 5π / 4

Circle 11 = 19π / 12

Circle 12 = 23π / 12

Reason : All the six(6) circles ( 7 through 12 ) are separated by : 60° = π/3

Answer:

1394

Step-by-step explanation:

Set up equation to find the number:

Variable n = number

65/100 = 1105/n

Cross multiply:

65 × n = 100 × 1105

65n = 110,500

n = 1700

Check your work:

1700 × 65%

Convert percentage into decimal:

1700 × 0.65

1105

Correct!

Find 82% of 1700:

Variable x = 82% of 1700

82/100 = x/1700

82 × 1700 = 100 × x

139,400 = 100x

1394 = x

Check your work:

1700 × 82%

1700 × 0.82

1394

Correct!

The 82% of the original number (1700) is approximately 1394.

Let's denote the original number as N. We know that 65% of N is equal to 1105. We can write this as:

65% of N = 0.65 * N = 1105

Now, to find the value of N, we can rearrange the equation to solve for N:

N = 1105 / 0.65

Now, calculate the value of N:

N ≈ 1700

So, the original number N is approximately 1700.

Next, we need to find 82% of this number. We can express this as:

82% of N = 0.82 * N

Now, substitute the value of N:

82% of 1700 = 0.82 * 1700

                     ≈ 1394

Thus, 82% of the original number (1700) is approximately 1394.

To summarize, first, we found the value of the original number (N) using the given information that 65% of N is equal to 1105. Then, we calculated 82% of N, which turned out to be approximately 1394.

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Answer:

A 5 sided figure

Step-by-step explanation:

To find the sum of interior angles we use the formula

S = (n - 2) *180

540 = 180n - 360

180n = 540 + 360

180n = 900

n = 900/180

n = 5

The number of sides of a polygon with the given sum of interior angles is 5.

Option A)5-sided figure is the correct answer.

A polygon is simply a two-dimensional a plane shape enclosed by line segments called sides.

The formula for calculating the sum of interior angles of a polygon is;

S =  ( n − 2 ) × 180°

Where S is the sum and n is the number of sides.

Given that the sum of the interior angles equal to 540°.

From the above expression;

S =  ( n − 2 ) × 180°

540° =  ( n − 2 ) × 180°

540° =  180°n − 360°

180°n = 540° + 360°

180°n = 900°

n = 900° / 180°

n = 5

The number of sides of a polygon with the given sum of interior angles is 5.

Option A)5-sided figure is the correct answer.

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it would be 30ft tall, because each inch = 5 ft, therefore, 6 x 5 = 30.

Answer:

30 ft

Step-by-step explanation:

5 X

— = —

1 6

5•6=30

30/1= 30

therefore the answer is 30 ft

Answer:

7

Step-by-step explanation:

Answer:

2856

Step-by-step explanation:

This question is a little unclear. 6 times 17 times 28 is equal to 2856 if that is what you are trying to ask.

It needs [tex]140\ \text {pounds}[/tex] of the spirulina to get in order to make the blend.

Used the concept of a system of linear equations that states,

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system.

Example; ax + by = 0

Given that,

The cost of protein per pound = [tex]\$10.25[/tex]

The cost of powdered spirulina per pound = [tex]\$22.45[/tex]

And, the blend ends up costing [tex]\$16.35[/tex] per pound.

Let us assume that,

There are x pounds of protein and y pounds of spirulina in the mixture.

Hence, by given conditions the equation is,

[tex]10.25x + 22.45y = 16.35 (x + y)[/tex]

[tex]10.25x + 22.45y = 16.35x +16.35 y[/tex]

Combine like terms,

[tex]22.45y - 16.35 y= 16.35x - 10.25x[/tex]

[tex]6.1 y = 6.1x[/tex]

[tex]y = x[/tex]

Since the company has 140 pounds of whey protein on hand.

So, the amount of spirulina it needs to get in order to make the blend is,

[tex]y = 140\ \text {pounds}[/tex]

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Answer:

93°, 89°, 93°

Step-by-step explanation:

∠1 and ∠4 are supplementary angles:

m∠1 + m∠4 = 180°; m∠1 = 93°

∠2 and ∠4 are vertical angles:

m∠2 = m∠4 = 87°

∠3 and ∠4 are supplementary angles:

m∠3 + m∠4 = 180°; m∠3 = 93°

=========================================================

Work Shown:

SA = surface area of the rectangular prism (aka block or box)

SA = 2*(LW + LH + WH)

SA = 2*(8*3 + 8*1 + 3*1)

SA = 2*(24 + 8 + 3)

SA = 2*(35)

SA = 70 square feet

This is the amount of wrapping paper you would need to cover all six sides of the box. This assumes that there are no gaps or overlaps.

Answer:

6 inches by 6 inches

Step-by-step explanation:

Area of the square = 256 inches ²

Given equation:

(x + 10)² = 256

Where,

x = side measure of the original square

(x + 10)² = 256

(x + 10)(x + 10) = 256

x² + 10x + 10x + 100 = 256

x² + 20x + 100 = 256

x² + 20x + 100 - 256 = 0

x² + 20x - 156 = 0

Solve the quadratic equation by factorization

Find two numbers whose product is -156 and sum is 20

The numbers are -26 and 6

x² + 26x - 6x - 156 = 0

x(x + 26) - 6(x + 26) = 0

(x + 26) (x - 6) = 0

x + 26 = 0 or x - 6 = 0

x = -26 or x = 6

Side length of a square can not be negative

Therefore,

x = 6 inches

6 inches by 6 inches

Answer:

4. 12√3

5. -35√2

6. 5√2/2

Step-by-step explanation:

4. 3√12+2√27

= 3√(4×3) + 2√(9×3)

= 6√3+6√3

= 12√3

5. 5√8-9√50

= 5×2√2-9×5√2

= 10√2-45√2

= -35√2

6. 5/√2

= 5×√2/(√2×√2)

= 5√2/2

Answered by GAUTHMATH

Answer:

Cannot be determined.

Step-by-step explanation:

The triangle has three different angles which are not congruent. The sides of the two triangle are not equal therefore these triangle are not determined to be congruent. These triangles share their three angles but not the three sides.

Answer:

x = 7.75       y = -0.125

Step-by-step explanation:

3x + 2y = 23                         1/2x - y = 4

2(1/2x - y) = (4)2                   1x - 2y = 8

    3x + 2y = 23

+   1x - 2y = 8

4x = 31

x = 7.75

3(7.75) + 2y = 23

23.25 + 2y = 23

2y = -0.25

y = -0.125