Anthony drew a pentagon with each side measuring 6 inches. Carol drew hexagon with each side measuring 5 inches. Which shape has a greater perimeter? Write an equation to help explain your answer.

QUESTION POSTED AT 05/12/2019 - 07:37 PM

Answered by admin AT 05/12/2019 - 07:37 PM

Answer:

The perimeter of both shapes is equal.

Step-by-step explanation:

We have been Anthony drew a pentagon with each side measuring 6 inches.

We know that perimeter of a regular polygon is n times the side length of polygon, where n represents number of sides in a polygon.

We know that a pentagon has 5 sides, so perimeter of pentagon would be 5\times 6\text{ inches}=30\text{ inches}.

Carol drew hexagon with each side measuring 5 inches. We know that a hexagon has 6 sides, so perimeter of hexagon would be 6\times 5\text{ inches}=30\text{ inches}.

Therefore, the perimeter of both shapes is equal.

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Related questions

Dpoiski2 Find the perimeter of a rectangle with l = 0.85 m and w = 0.4 m. A. 1.25 m B. 2.5 m C. 0.34 m D. 0.68 m Unsubscribe

For this question the answer is 2.5m (B)
You find this by: L=0.85m
W=0.4m

A rectangle had 4 sides (2 lengths and 2 widths)
So...
To find 1 length and 1 Width you do 0.85+0.4=1.25m
Now you want to find the other 2 sides (L and W)
You can do: the same method and add it to 1.25m OR...
You can do (I prefer this one): (0.85+0.4)x2=?
This is the same as 0.85+0.4=1.25
1.25x2=2.5m

ANSWERED AT 18/01/2020 - 07:41 AM


QUESTION POSTED AT 18/01/2020 - 07:41 AM

2x+5y=34, x+2y=14 solve the system of linear equations

X=2 and y=6   i hope this helps

ANSWERED AT 18/01/2020 - 07:39 AM


QUESTION POSTED AT 18/01/2020 - 07:39 AM

Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below: Help Andrew determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your process for determining the fairness of the class assignment process.

                                                            Honor roll Not on honor roll Total
Received math class requested        315               64                   379
Did not get math class requested        41               80                   121
Total                                                        356             144                   500 

Honor roll: request granted: 315/356 = 0.88 x 100% = 88%
Not Honor roll request granted: 64/144 = 0.44 x 100% = 44%

Honor roll students were given preference in granting request than those not in the honor roll.

ANSWERED AT 18/01/2020 - 07:39 AM


QUESTION POSTED AT 18/01/2020 - 07:39 AM

What is the volume of this shape?

180 cu in. 10 times 6 times 3 =180. 
                  L           W          H

ANSWERED AT 18/01/2020 - 07:39 AM


QUESTION POSTED AT 18/01/2020 - 07:39 AM

Find an equation that models a hyperbolic lens with a = 12 inches and foci that are 26 inches apart. Assume that the center of the hyperbola is the origin and the transverse axis is vertical.

The general form for a hyperbola with the center at the origin and a vertical transverse axis is:
y2/a2 - x2/b2 = 1

From the given:
a = 12

To get b, we use the given distance between the foci.Since it's 26,
c = 26/2 = 13

Using this defintion:
c2 = a2 + b2
b = sqrt(c2 - a2) = sqrt (13^2 - 12^2) = 5

The equation therefore is:
y2/13^2 - x2/5^2 = 1
or
y2/169 - x2/25 = 1

ANSWERED AT 18/01/2020 - 07:36 AM


QUESTION POSTED AT 18/01/2020 - 07:36 AM

When the following quadratic equation is written in general form, what is the value of "c"?

I really don't understand what you are asking, but the general form is
ax^2 + bx + c
so c is equal to the constant term at the end of the expression.

ANSWERED AT 18/01/2020 - 07:34 AM


QUESTION POSTED AT 18/01/2020 - 07:34 AM

The city wants to build a football field. Each wheelbarrow full of dirt covers an area of 10x squared. Determine how many wheelbarrows full of dirt they need for the field below. One side of the rectangle is just 5x squared. The other side is 10x square plus 90x.

As this is a unitless problem, let us try to deal with it as if it does have units. Since we are already given the length and width of a rectangle, we can solve for the area by multiplying. After getting the area, we divide this by the area a wheelbarrow can cover to obtain the expression for how many wheelbarrows we need.

Rectangle length = 10x^2 + 90x
Rectangle width = 5x^2
Rectangle area = length * width = 5x^2(10x^2 + 90x)

Rectangle area = 50x^4 + 450x^2

Dividing:

          _5x^2_+_45____10x^2|50x^4 + 450x^2           50x^4          --------                        450x^2                        450x^2                         ---------                                  0

Therefore, the expression for how many wheelbarrows are to be used is 5x^2 + 45 wheelbarrows.

ANSWERED AT 18/01/2020 - 07:33 AM


QUESTION POSTED AT 18/01/2020 - 07:33 AM

Solve the equation (3x+2)(x-4)=0 enter the solution with the highest value.

Answer:

The correct answer is x=4

Step-by-step explanation:

(3x+2)(x-4)=0

3x ^2-12x+2x-8=0

3x ^2-10x-8=0

We can use Quadratic Formula.

If we have an equation with the following Standard Form ,  ax2 + bx + c = 0

(a, b and c are known values. a can't be 0.)

"x" is the unknown

we can solve the equation applying the Quadratic Formula.

x = (−b ± √(b^2 − 4ac))/ 2a

In this case,

a=3

b=-10

c=-8

Replacing

x = (10 ± √(-10^2 − 3*2*-8))/ 2*3

x=10 ± √(100 − (-96))/ 6

x=10 ± (√196)/6

x=(10 ± 14)/6

We have 2 answers

1-     x=(10 + 14)/6=24/6=4 this is the highest value

2-   x=(10 - 14)/6=-4/6=-0.66

ANSWERED AT 18/01/2020 - 07:29 AM


QUESTION POSTED AT 18/01/2020 - 07:29 AM

The first steps in writing f(x) = 3x2 – 24x + 10 in vertex form are shown. f(x) = 3(x2 – 8x) + 10 (-8/2)^2 = 16 What is the function written in vertex form? A.f(x) = 3(x + 4)2 – 6 B.f(x) = 3(x + 4)2 – 38 C.f(x) = 3(x – 4)2 – 6 D.f(x) = 3(x – 4)2 – 38

Following the steps already shown to transform the given function into the vertex form, we have:

f(x) = 3(x2 - 8x + 16) + 10 - 3(16)
f(x) = 3(x - 4)(x - 4) + 10 - 48
f(x) = 3(x - 4)2 - 38

Therefore, the function written in vertex form is:
D.f(x) = 3(x – 4)2 – 38

ANSWERED AT 18/01/2020 - 07:28 AM


QUESTION POSTED AT 18/01/2020 - 07:28 AM

Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. If Stacy bought 15 tickets, she would spend

Answer:

Stacy would spend $52.50 in buying the tickets.

Step-by-step explanation:

The total cost  of tickets brought can be calculated by the formula c=3.5 t.

Here t represents the number of tickets .

It is given Stacy bought 15 tickets ,hence t=15.

The total cost of tickets Stacy bought c= 3.5(15)

Or c=52.5

Stacy would spend $52.50 in buying the tickets.

ANSWERED AT 18/01/2020 - 07:28 AM


QUESTION POSTED AT 18/01/2020 - 07:28 AM

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets Which equation is true?

Let x be the number of times that Michael rode on the roller coaster and let y be the number of times that he rode on the boat, then: x + y = 10 [because he went on the two rides a total of 10 times], and 4x + 3y = 37 [because a ride on a roller coaster costs 4 tickets and the boat ride costs 3 tickets and he spent a total of 37 tickets] From the first equation, 4x + 4y = 40 subtracting the second equation from the third equation gives: y = 3, and from the first equation x = 10 - y = 10 - 3 = 7 Therefore, Michael rode on the roller coaster 7 times and on the boat 3 times.

ANSWERED AT 18/01/2020 - 07:23 AM


QUESTION POSTED AT 18/01/2020 - 07:23 AM

Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)? graph of function f of x equals negative 11 by 3 multiplied by x plus 11 by 3 and graph of function g of x equals x cubed plus 2 multiplied by x squared minus x minus 2 One Two Three Four

Answer:

The total number of solutions is one

Step-by-step explanation:

we have

f(x)=-\frac{11}{3}x+ \frac{11}{3}

g(x)=x^{3}+2x^{2}-x-2

To solve the system of equations equate f(x) and g(x)

f(x)=g(x)

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solution of x

x=1

There is only one point of intersection both graphs

therefore

The total number of solutions is one


ANSWERED AT 18/01/2020 - 07:23 AM


QUESTION POSTED AT 18/01/2020 - 07:23 AM

Which equation could be used to solve y 2+7y=18 by factoring?

For this case we have the following equation:


y ^ 2 + 7y = 18

Rewriting the equation we have:


y ^ 2 + 7y-18 = 0

Then, we must factor the equation:


We are looking for two numbers that are equal to 7 and multiplied equal to -18.


We have then:


(y + 9) (y-2) = 0

Answer:


An equation that could be used to solve y^2 + 7y = 18 by factoring is:


(y + 9) (y-2) = 0

ANSWERED AT 18/01/2020 - 07:22 AM


QUESTION POSTED AT 18/01/2020 - 07:22 AM

Write the number in word form. Triton, the largest satellite of the planet Neptune, is about 2,705 kilometers in diameter.

Two thousand seven hundred and five kilometers

ANSWERED AT 18/01/2020 - 07:19 AM


QUESTION POSTED AT 18/01/2020 - 07:19 AM

Write this number in standard form. three and twenty-nine hundredth

3.29 should be correct.

ANSWERED AT 18/01/2020 - 07:19 AM


QUESTION POSTED AT 18/01/2020 - 07:19 AM

A parabola is defined by the equation (x − 5)2 = 12(y + 2). In which direction will the parabola open?

Since the equation is in the form:
(1/a)(y – k) = (x – h)2


Then, the parabola will open either upward or downward. To tell which direction will the parabola open, the coefficient of the term:

(y – k)
must be inspected.

The coefficient is 12 and it is a positive number, therefore, the parabola will open upward.

ANSWERED AT 18/01/2020 - 07:19 AM


QUESTION POSTED AT 18/01/2020 - 07:19 AM

Write the equation 2x + 4y = 12 in slope intercept form.

4y=12-2x
y=(12-2x)/4
-------------

ANSWERED AT 18/01/2020 - 07:18 AM


QUESTION POSTED AT 18/01/2020 - 07:18 AM

The sum of the measures of the interior angles of a polygon is 1620°. How many sides does the polygon have? __

You should end up with 11 sides............

sum=(n-2)180
1620=(n-2)180

n-2=9
n=11 sides

ANSWERED AT 18/01/2020 - 07:18 AM


QUESTION POSTED AT 18/01/2020 - 07:18 AM

Find the perimeter of a rectangular swimming pool that measures 12 feet by 22 feet.

The perimeter is 78ft. You do 12 times 2 plus 22 time 2 because a rectangle has 2 sets of equal sides.

ANSWERED AT 18/01/2020 - 07:18 AM


QUESTION POSTED AT 18/01/2020 - 07:18 AM

In 2009, the world's largest pumpkin weighed 784 kilograms. An average-sized pumpkin weighs 5,000 grams. The 2009 world-record pumpkin weighs _____ kilograms more than an average-sized pumpkin. (Write your answer as a numeral.)

5,000 grams = 5kg

784 - 5 = 779kg

The 2009 world record pumpkin weighs 779kg more than the average sized pumpkin.

ANSWERED AT 18/01/2020 - 07:16 AM


QUESTION POSTED AT 18/01/2020 - 07:16 AM

What value of a makes the equation true 18/60=12/a a 30 b 4 c 20 d 40

The answer is d 40
by applying the cross product

ANSWERED AT 18/01/2020 - 07:16 AM


QUESTION POSTED AT 18/01/2020 - 07:16 AM

Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right triangle were a, b, and c. Is she correct?

She is not correct because mixing the legs won't affect but mixing them with the hypotenuse would affect a lot. 

ANSWERED AT 18/01/2020 - 07:16 AM


QUESTION POSTED AT 18/01/2020 - 07:16 AM

A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section?

a parallelogram

is the answer

ANSWERED AT 18/01/2020 - 07:16 AM


QUESTION POSTED AT 18/01/2020 - 07:16 AM