Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is 19 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?​

Answers

Answer 1

Answer:

square side = 57

hexagon side = 38

Step-by-step explanation:

x = side length of square

y = side length of hexagon

x = y + 19

4x = 6y

substitute for x:

4(y + 19) = 6y

4y + 76 = 6y

subtract 4y from each side of the equation:

2y = 76

divide both sides by 2:

y = 38

x = 57

Answer 2

Answer:

Hi there,

Make the side of the hexagon = x

Side of square = x + 12

Both figures have the same perimeters.

4(x + 14) = 6x

4x + 56 = 6x

Collect like terms:

6x - 4x = 56

2x = 56

x = 28

Length of hexagon side = 28 feet

Length of square side = 42 feet

Hope this helps :-)


Related Questions

A line passes through the points (-1,4) and (4,-2). Find the equation of the line in slope intercept form.

Answers

Answer:

Your Answer mark me as brainlist

Step-by-step explanation:

slope = "rise over run" the difference in y values divided by the difference in x values

= 6/-3 = -2 = m. It's negative because as x increases, y decreases

plug that into the point slope formula, with either point. generally use the most simple point

y-h= m(x-k) where m= -2 and (k,h) = (2,-2)

y+2 = -2(x-2)

simply if you want

Y = -2x +4 -2 = -2x +2

or

2x +y = 2

The number 31.5 is 37.5% of what number?
A. 69
B. 84
C. 315
D. 375

Answers

Answer: B

Step-by-step explanation:

What is the measure of AC?
D
30°
90 E
90° B
A. 1200
B. 150°
C. 90°
с
O D. 30°

Answers

C hope that helps lip you you get that if you round have a great one

Which of the following is not true when using the confidence interval method for testing a claim about μ when σ is​ unknown? Choose the correct answer below. A. The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results. B. The​ P-value method, the traditional​ method, and the confidence interval method are equivalent and yield the same results. C. For a​ two-tailed hypothesis test with a 0.05 significance​ level, one must construct a​ 95% confidence interval. D. For a​ one-tailed hypothesis test with a 0.05 significance​ level, one must construct a​ 90% confidence interval.

Answers

Answer:

The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results ( A )

Step-by-step explanation:

The False statement about using the confidence interval method when testing a claim about  μ when  σ is​ unknown is ; The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results

This is because sometimes the values gotten from the p-value and confidence interval differs and this occurs mostly when the sample size is very small.

What is m∠G to the nearest tenth? A right angle triangle EFG. The length of EF is 28.2 and GF is 45.8. Angle GFE is given as 90 degrees.

Answers

Answer:

31.6°

Step-by-step explanation:

The triangle given us a right angled Triangle

We solve the above question using the trigonometric function of Tangent

The formula is given as:

tan θ = opp/adj

θ = m∠G = ?

Opposite = EF is 28.2

Adjacent = GF is 45.8

tan θ = 28.2/45.8

θ = arc tan (28.2/45.8)

θ = 31.621459805°

Approximately

m∠G = 31.6°


What is the value of x in the equation 4/3/10

Answers

The value of X in the equation is -3

What best describes the distance between two points with coordinates (2,-3) and (-4,2)

Answers

Answer:

Option c (7.8) is the correct alternative.

Step-by-step explanation:

The given points are:

(x₁, y₁) = (2, -3)

(x₂, y₂) = (-4, 2)

As we know,

The distance between two points will be:

= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

On substituting the values, we get

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

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

= [tex]\sqrt{(6)^2+(5)^2}[/tex]

= [tex]\sqrt{36+25}[/tex]

= [tex]\sqrt{61}[/tex]

= [tex]7.8 \ units[/tex]

She walks 2 minutes for every 5 she runs. If she walks for 12 minutes how many minutes does she spend running?

Answers

Answer:

I believe it is, 30 minutes of running.

Explanation:

If she spends 12 minutes walking, that means she’s done 6 ‘sets’ of two minutes.

Then, you just have to multiply 6 by 5 and then you get 30.

Someone please help me

9 4/7 + 8 5/6 =​

Answers

Answer:

9 4/7 + 8 5/6 = 773/

42

= 18 17/

42

= 18.4047619

Step-by-step explanation:

Answer:

18 17/42

Hope this helps

Malik is using a cookbook to make a recipe, but he cannot find his
measuring cups! He has, however, found a tablespoon. Inside the
back cover of the cookbook, it says that 1 cup = 16 tablespoons.
Determine how he could use the tablespoon to measure out the
following ingredients. Show each step of your solution.
• 2 cups of flour
• 12 cup sunflower seeds
• 194 cup of oatmeal in

Answers

Answer:

a. Given a number of tablespoons, find the number of cups:

1. Since he needs 2 cups, he can use 2×16=32 tablespoons.

2.Since he needs 1/2 cup, he can use 1/2×16=8 tablespoons.

He needs 1 1/4 cups. 1 cup is 16 tablespoons. 1/4 cup is 1/4×16=4 tablespoons. So altogether he needs 16+4=20 tablespoons.Given a number of cups, find the number of tablespoons:

I already found that 20 tablespoons is 1 1/4 cups. So for 28 tablespoons I need an additional 8 tablespoons, or an additional 1/2 cup. 1 1/4+1/2=1 3/4, so 28 tablespoons gets him 1 3/4 cups. (Alternatively, we might say that 1 tablespoon is 1/16 cups. 1/16×28=28/16, which we can rewrite as 1 12/16 or 1 3/4.)

I notice that to convert from tablespoons to cups, I always divide by 16. 6÷16=6/16, which we can write as 1 3/8. (Alternatively, 1 tablespoon is 1/16 cups. 1/16×6=6/16, which we can rewrite as 1 3/8.)

Step-by-step explanation:

-2a + 5b + 6a + 8b combine like terms​

Answers

Answer:

4a + 13b

Step-by-step explanation:

-2a + 5b + 6a + 8b

combine like terms:

4a + 13b

Answer:

4a+13b

Step-by-step explanation:

-2a+6a+5b+8b. group like terms

4a+13b

PLEASE HELPPP! I'LL GIVE BRAINLEST​

Answers

False multiples of 3 arent multiples of 9

Complete the square
to find the vertex
of this parabola.

y^2+4x - 2y+21=0

Answers

Answer:

::::::::::::::::::::

(-5,1)

The vertex of the parabola represented by the equation y² + 4x - 2y + 21 = 0 is (-5, 1).

The parabola is represented by the equation y² + 4x - 2y + 21 = 0.

Take the coefficient of y, which is -2, divide it by 2, and square the result:

(-2/2)² = 1

Now, we add and subtract this value inside the parentheses to maintain the equation's balance:

y² - 2y + 1 + 4x + 21 - 1 = 0

Rearranging the terms, we have:

(y² - 2y + 1) + 4x + 20 = 0

Now, the terms inside the parentheses can be written as a perfect square:

(y - 1)² + 4x + 20 = 0

Setting (y - 1)² = 0,

(y - 1)² = 0

y - 1 = 0

y = 1

Substitute y = 1 back into the equation to find the x-coordinate of the vertex:

(1 - 1)² + 4x + 20 = 0

0 + 4x + 20 = 0

4x = -20

x = -5

Therefore, the vertex of the parabola is (-5, 1).

Learn more about the parabola here:

brainly.com/question/4074088

#SPJ2


Help what type of function is this

Answers

the type of function is its linear

I need to figure out what the slope is.

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

  m = (-2 -(-6))/(3 -1) = 4/2 = 2

The slope of the line is 2.

Determine which of the following statements is true for the function
g(x) = 4x5 - 3x6 + 2x3 - 1.

Answers

Step-by-step explanation:

4×5-3×6+2×3-1

20-18+6-1

2+6-1

8-1

7

What is 4 nickels to 2 dollars

Answers

Answer: b

Step-by-step explanation:

Answer:

How many nickels make a 2 dollars?

40 nickels

50 per penny roll or 40 nickels to complete a $2 roll, the denominations can become less self-explanatory the higher the face value and physical thickness of a coin

Write the slope-intercept equation of this line.

when the answers are

A. y=-2x-3
b. y=2x-5
c. y=-1/2x-5
d.y=-1/2x-3

Answers

Answer:

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

Step-by-step explanation:

Hi there!

Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

The slope of a line is the same as its [tex]\frac{rise}{run}[/tex], or in other words, the number of units the line moves upwards over the number of units the line moves to the right.

In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is [tex]-\frac{1}{2}[/tex]. This is negative since it is traveling downwards.

Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex] as m:

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

2) Determine the y-intercept

In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into [tex]y=-\frac{1}{2} x+b[/tex] as b:

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

I hope this helps!

D

Used desmos graphing calculator

What is the volume of the right rectangular prism 

Answers

Answer:

432

Step-by-step explanation:

V=length×width×height

= 8×6=48

=48×9=432

Answer:

[tex]432{mm}^{3} [/tex]

Step-by-step explanation:

[tex]9mm \times 6mm \times 8mm = 432 {mm}^{3} [/tex]

Which is equal to the cos ÐR?
PLEASE HELP ME

Answers

Answer: 4/5 = .8

cos adj/hyp of r is .8

HOWEVER...

I’m assuming it’s talking about angle R...

Please help!! Need help with this algebra question quickly!!

Answers

Answer:

The area would be:-

(x-2) multiplied by (2x-1)

So, the answer would be

= [tex]2x^{2} -5x + 2[/tex]

There are 5 cups of tea in the pitcher. There are 10 fluid ounces of tea in the glass. In fluid ounces, how much more tea is in the pitcher than in the glass? Type in! QUICK!

Answers

Answer:

30 fl oz

Step-by-step explanation:

1 c = 8 fl oz

5c = 40 fl oz

40 fl oz - 10 fl oz = 30 fl oz

Answer:

3 fl oz

Step-by-step explanation:

Determine the slope between these these points

Answers

Answer:

-12/5

Step-by-step explanation:

A can of soda contains 12 ounces of soda. What is the amount in milliliters (mL)? Conversion Factor: 1 ounce = 29.6 milliliters A. 2.47 mL B. 24.7 mL C. 355.2 mL D. 3552 mL

Answers

Answer:

The answer is C: 355.2 mL.

Step-by-step explanation:

12*29.6=355.2. I hope this helps! Have a great rest of your day!

Quadrilateral ABCD is rotated 90° about the origin. What are the coordinates
of quadrilateral A'B'C'D?

Answers

Answer:

Its A

Step-by-step explanation:

Answer:

A'(5,-5) ,B'(1,-5) ,C'(1,-2) ,D'(5,-1)

17. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
15
51
a x = 19.3, y = 12.1
b. x 23.8, y = 18.5
C. x = 12.1, y = 19.3
d. x = 18.5, y = 23.8

Answers

Answer:

C.

Step-by-step explanation:

The answer should be less than 15 for x since its the smallest side and C is the only answer that has that.

consider the triangle​

Answers

The answer to the question is 30

The Martinez Company has just completed a physical inventory count at year end, December 31, 2022. Only the items on the shelves, in storage, and in the receiving area were counted and costed on the FIFO basis. The inventory amounted to $81,600. During the audit, the independent CPA discovered the following additional information:

(a) There were goods in transit on December 31, 2022, from a supplier with terms FOB destination, costing $9,800. Because the goods had not arrived, they were excluded from the physical inventory count.
(b) On December 27, 2022, a regular customer purchased goods for cash amounting to $1,150 and had them shipped to a bonded warehouse for temporary storage on December 28, 2022. The goods were shipped via common carrier with terms FOB shipping point. The customer picked the goods up from the warehouse on January 4, 2023. Martinez Company had paid $575 for the goods and, because they were in storage, Martinez included them in the physical inventory count.
(c) Martinez Company, on the date of the inventory, received notice from a supplier that goods ordered earlier, at a cost of $3,500, had been delivered to the transportation company on December 28, 2022; the terms were FOB shipping point. Because the shipment had not arrived on December 31, 2022, it was excluded from the physical inventory.
(d) On December 31, 2022, there were goods in transit to customers, with terms FOB shipping point, amounting to $760 (expected delivery on January 8, 2023). Because the goods had been shipped, they were excluded from the physical inventory count.
(e) On December 31, 2022, Martinez Company shipped $2,400 worth of goods to a customer, FOB destination. The goods arrived on January 5, 2023. Because the goods were not on hand, they were not included in the physical inventory count.
(f) Martinez Company, as the consignee, had goods on consignment that cost $2,700. Because these goods were on hand as of December 31, 2022, they were included in the physical inventory count.

Analyze the above information and calculate a corrected amount for the ending inventory.

Answers

Answer is letter c
Hope it helps

What is the surface area?

Answers

Answer:

212

Step-by-step explanation:

hope you will understand

29. A number divided by 8 gives answer 27, remainder 4. Find the number.


Answers

Answer:

220

Step-by-step explanation:

Divisor • Quotient + Remainder = Dividend

The divisor is 8, the quotient is 27, the remainder is 4.

27 • 8 = 216; 216+ 4= 220 (Don’t forget that multiplication is commutative, so 8 & 27 can swap places!) 220 is the number that when divided by 8 gives 27 remainder 4.

In simpler way

Dividend = divisor × quotient + remainder.

Divisor = 8, quotient = 27, remainder = 4.

Dividend = (8×27)+4,

= 216+ 4

= 220

The number is 220.

For proof

 

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