# 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

QUESTION POSTED 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 .

Carol drew hexagon with each side measuring 5 inches. We know that a hexagon has 6 sides, so perimeter of hexagon would be .

**Therefore, the perimeter of both shapes is equal.**

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

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

The period of this function ( cos (bx) ):

T =

b=

Maximum tide : 9 feet (for cos value 1) f(t)=4*1 + 5 = 9

Minimum tide: 1 feet ( for cos value -1) f(t) = 4*(-1) + 5 =1

Answer: D)**f(t)= 4 cos (π/6 t) +5**

T =

b=

Maximum tide : 9 feet (for cos value 1) f(t)=4*1 + 5 = 9

Minimum tide: 1 feet ( for cos value -1) f(t) = 4*(-1) + 5 =1

Answer: D)

ANSWERED AT 18/01/2020 - 07:40 AM

QUESTION POSTED AT 18/01/2020 - 07:40 AM

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

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.

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

Its actually** C. 372. **I just took the test

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

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

180 cu in. 10 times 6 times 3 =180.

L W H

L W H

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

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

**Answer:**

D

**Step-by-step explanation:**

ANSWERED AT 18/01/2020 - 07:38 AM

QUESTION POSTED AT 18/01/2020 - 07:38 AM

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

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

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.

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

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.

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

C is the correct answer

ANSWERED AT 18/01/2020 - 07:30 AM

QUESTION POSTED AT 18/01/2020 - 07:30 AM

**12 x 12 x 12** i think is the answer.

:3

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

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

**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

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

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

**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

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

**Answer:**

The total number of solutions is one

**Step-by-step explanation:**

we have

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

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

It would b 2/3 and the other one 2/4

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

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

For this case we have the following equation:

Rewriting the equation we have:

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:

Answer:

An equation that could be used to solve by factoring is:

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

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

Two thousand seven hundred and five kilometers

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

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

3.29 should be correct.

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

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

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.

(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

4y=12-2x

y=(12-2x)/4

-------------

y=(12-2x)/4

-------------

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

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

22 - (7 + 9) = 6 feet

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

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

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

sum=(n-2)180

1620=(n-2)180

n-2=9

n=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

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

5,000 grams = 5kg

784 - 5 = 779kg

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

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

The answer is d 40

by applying the cross product

by applying the cross product

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

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

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 parallelogram

is the answer

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

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