On graph paper, draw four different rectangles that each have an area of 24 square units. Then find the perimeter of each one. Geometry

QUESTION POSTED AT 05/12/2019 - 03:46 PM

Answered by admin AT 05/12/2019 - 03:46 PM


My first rectangle is 1 unit wide and 24 units long. Its area
is 24 square units and its perimeter is 50 units.

My second rectangle is 2 units wide and 12 units long. Its area
is 24 square units and its perimeter is 28 units.

My third rectangle is 3 units wide and 8 units long. Its area
is 24 square units and its perimeter is 22 units.

My fourth rectangle is 4 units wide and 6 units long. Its area
is 24 square units and its perimeter is 20 units.

My fifth rectangle is 1/2 unit wide and 48 units long. Its area
is 24 square units and its perimeter is 97 units.

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Related questions

The formulas for area of a rectangle and area of a parallelogram are the same. State the formulas and write about why they are the same.

Area of rectangle A = l*w so area equal length time width 
in case of a parallelogram A = length what is base time height what is the width corresponding of rectangle case 

hope this is understandably sure easy 

ANSWERED AT 18/01/2020 - 01:14 PM


QUESTION POSTED AT 18/01/2020 - 01:14 PM

Find the quotient. (6x 2 + 23x + 20) ÷ (5 + 2x) 3x - 4 3x + 4 3x +19

\frac{6x^{2} + 23x + 20}{2x + 5} = \frac{6x^{2} + 15x + 8x + 20}{2x + 5} = \frac{3x(2x) + 3x(5) + 4(2x) + 4(5)}{2x + 5} = \frac{3x(2x + 5) + 4(2x + 5)}{2x + 5} = \frac{(3x + 4)(2x + 5)}{2x + 5} = 3x + 4

The answer is B.

ANSWERED AT 18/01/2020 - 01:13 PM


QUESTION POSTED AT 18/01/2020 - 01:13 PM

Ms. Chang has 24 students in her class, and 6 of them are boys. What is the ratio of boys to girls?

The total number of students is 24 and the total number of boys is 6, therefore

 

Number of girls = 24 – 6 = 18

Therefore the ratio of the boys to girls is

 

Number of boys/ number of girls = 6/18 ~ 1/3

 

The ratio suggests that there is 1 boy for every 3 girls  

ANSWERED AT 18/01/2020 - 01:13 PM


QUESTION POSTED AT 18/01/2020 - 01:13 PM

If a cylinder’s radius and height are each shrunk down to a third of the original size, what would be the formula to find the modified surface area?

We let

r1 = the original radius of the cylinder

r2 = the new radius of the cylinder

h1 = the original height of the cylinder

h2 = the new height of the cylinder

SA = surface are of the cylinder

 

the radius and the height are shrunk down to a third of their value therefore

 

r2 = r1/3

h2 = h1/3

 SA = 2(PI)r^2 + 2(PI)rh

SA = 2(PI)[(r1^2)/9] +2(PI)(r1/3)(h1/3)

 

Simplifying

SA = [2(PI)r]/9 * (r1 + h1)

ANSWERED AT 18/01/2020 - 01:12 PM


QUESTION POSTED AT 18/01/2020 - 01:12 PM

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.

Answer:

10 in

Step-by-step explanation:

We are given that

Diameter of cactus=d=12 in

Radius of cactus=\frac{d}{2}=\frac{12}{2}=6 in

Distance of lizard from point of tangency=8 in

We have to find the direct distance between lizard and cactus.

In triangle OAB,

OA=6 in

AB=8 in

Pythagorous theorem: (Hypotenuse)^2=(base)^2+(perpendicular\;side)^2

Using pythagorous theorem

OB^2=(6)^2+(8)^2=100

OB=\sqrt{100}=10 in

Hence, the direct distance of lizard from cactus=10 in

ANSWERED AT 18/01/2020 - 01:11 PM


QUESTION POSTED AT 18/01/2020 - 01:11 PM

A parabola has a vertex at (0,0). The focus of the parabola is located on the positive x-axis. Which part of the graph will the directrix pass through?

Answer:

Negative X axis and parallel to Y axis.

Step-by-step explanation:

The standard equation of a parabola is given by

y^2 = 4ax

Where, the vertex of the parabola is (0,0), focus of teh parabola is (a, 0) and the directrix of the parabola is given by the equation x = - a. This directrix pass through the coordinates (-a, 0).

According to the question, the vertex of the parabola is (0,0) and the focus is located on the positive x axis.  

So, the directrix pass through the negative X axis and the it is parallel to Y axis.

ANSWERED AT 18/01/2020 - 01:08 PM


QUESTION POSTED AT 18/01/2020 - 01:08 PM

How does this model demonstrate the Pythagorean Theorem? Three squares whose corners touch so that the respective edges form a triangle. The smallest square has a side labeled six and is made up of thirty-six smaller squares. The largest square has a side labeled ten and is made up of one hundred smaller squares. The third square has a side labeled eight and is made up of sixty-four smaller squares. A. The sum of the lengths of the shortest and the longest sides is equal to twice the length of the middle side. So double the length of the longer leg of any right triangle is equal to the sum of the shorter leg and the hypotenuse. B. The sum of the area of the two smaller squares is equal to the area of the larger square. So the sum of the lengths of the two legs of any right triangle squared is equal to the length of the hypotenuse squared. C. The sum of the area of the smallest and the largest squares is equal to the area of the middle square. So the sum of the lengths of the shorter leg and the hypotenuse of any right triangle squared is equal to the length of the middle leg squared. D. The length of the longest side minus two equals the length of the middle side. The length of the middle side minus two equals the length of the shortest side. So the length of the short leg of any right triangle is equal to the length of the middle leg minus 2, and the length of the hypotenuse is equal to the length of the middle leg plus 2.

"  B is your best choice but it is very badly stated. this gives an Example of the Pythagorean theorem. it does Not demonstrate it. B is written incorrectly, it should say "sum of squares of the lengths of the legs" Not "sum of the lengths of the two legs of any right angle squared"

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


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

Triangle ABC has side lengths 18,24, and 30. Do the side lengths form a Pythagorean triple? Yes or No?

Answer:  Yes, the side lengths form a pythagorean triple.

Step-by-step explanation:  Given that the side lengths of triangle ABC are as follows :

AB=18,~~BC=24,~~CA=30.

We are to check whether the side lengths form a pythagorean triple or not.

For making a pythagorean triple, the side lengths must satisfy the following :

AB^2+BC^2=CA^2.

We have

AB^2=18^2=324,\\\\BC^2=24^2=576,\\\\CA^2=30^2=900.

So,

AB^2+BC^2=324+576=900=CA^2.

Thus, the side lengths will form a pythagorean triple.

ANSWERED AT 18/01/2020 - 01:06 PM


QUESTION POSTED AT 18/01/2020 - 01:06 PM

Twelve out of twenty people say that they would rather bike than walk. On a circle graph, this section would represent 60% of the circle. True False

True as 12/20 is equal to 6/10 which is 60%

ANSWERED AT 18/01/2020 - 01:01 PM


QUESTION POSTED AT 18/01/2020 - 01:01 PM

Twelve out of twenty people say that they would rather bike than walk. On a circle graph, this section would represent 60% of the circle. True False

True!

Thank me if I was right!

Hoped I helped!

ANSWERED AT 18/01/2020 - 01:00 PM


QUESTION POSTED AT 18/01/2020 - 01:00 PM

The function f(x) is shown on the graph. What is f(0)? 12 only 2 and 3 only –2, –1, 1, and 2 only –2, –1, 1, 2 and 12

Answer: 12 only

Step-by-step explanation:

The given graph is representing the function f(x).

To find the value of f(0), we need to check the position of curve at x=0.

It implies we need to check the position of curve on y-axis.

We can see there is only one point where function curve is intersection the y-axis such that at x=0 .i.e. y=12

Hence, from the given graph the value of f(0)=12 only.

ANSWERED AT 18/01/2020 - 12:58 PM


QUESTION POSTED AT 18/01/2020 - 12:58 PM

Part A: The area of a square is (16x2 − 8x + 1) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

16x2−4x−4x+1=4x(4x−1)−1(4x−1)=(4x−1)(4x−1)=(4x−1)2 Length of each side=4x-1

ANSWERED AT 18/01/2020 - 12:54 PM


QUESTION POSTED AT 18/01/2020 - 12:54 PM

Part B: The area of a rectangle is (81x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Hello,

if the aim is to factorise:
81x²-4y²=(9x)²-(2y)²=(9x-2y)(9x+2y)

But the sides may also be and an other expression....

ANSWERED AT 18/01/2020 - 12:54 PM


QUESTION POSTED AT 18/01/2020 - 12:54 PM

Find the GCF of the following literal terms. m^7 n^4 p^3 and mn^12 p^5

Do you have the 4th problem typed correctly? The two given numbers have no factor (other than 1) in common (i.e., they are relatively prime) so the GCF is 1. 

48 = 2^4 * 3 

Therefore, GCF of 16a^4 b^4 + 32a^3 b^5 - 48a^2 b^6 is 16a^2 b^4, so 
16a^4 b^4 + 32a^3 b^5 - 48a^2 b^6 = (16a^2 b^4)(a^2 + 2ab - 3b^2) = (16a

ANSWERED AT 18/01/2020 - 12:53 PM


QUESTION POSTED AT 18/01/2020 - 12:53 PM

Find the value of y when x equals -11, 5x+6y=-37

5(-11)+6y=-37
-55+6y=-37
6y=18
y=3

ANSWERED AT 18/01/2020 - 12:51 PM


QUESTION POSTED AT 18/01/2020 - 12:51 PM

Arrange the equations in the correct sequence to find the inverse of f(x)=y=3x/8+x

To find the inverse of the the function, it must be arranged in such a way that the independent variable be on the left side and the dependent variable on the right. So,
f(x) = y = 3x/ (8 + x)
y (8 + x) = 3x
8y + xy = 3x
8y = 3x - xy
8y = x (3 - y)
8y / (3-y) = x
x = 8y / (3 -y)

Therefore,
f-(x) = f(y) = x = 8y/ (3 - y)

ANSWERED AT 18/01/2020 - 12:50 PM


QUESTION POSTED AT 18/01/2020 - 12:50 PM

In order to raise money for holiday gifts for your family, you are planning on starting a dog walking and car wash business. You earn $12 per hour while dog walking and $18 per hour washing cars. You need to earn at least $600 during the month of November. 1.Assign a variable to represent the number of hours that you will spend dog walking in November. Write an expression to represent the amount of money you need to earn while dog walking. 2.Assign a variable to represent the number of hours that you will spend washing cars in November. Write an expression to represent the amount of money you need to earn while washing cars. 3.Write an algebraic model using inequalities that represents the total amount of money earned by dog walking and washing cars during the month of November. 4.Graph the algebraic model in the first quadrant only. Let the x-axis be the number of hours spent dog walking and the y-axis be the number of hours spent washing cars. Click here for a sheet of graph paper to print.. 5.Use the graph and algebraic model to answer the following: a.Why does the graph exist only in the first quadrant? b.Are you able to earn exactly $600? Use the solutions of the system to find possible combinations of outcomes that equal exactly $600. Where do all of the combinations occur in the graph? c.Is it possible to earn more than $600? Use the solutions of the system to find possible combinations of outcomes that are greater than $600. Where do all of the combinations occur in the graph? d.If you work for 10 hours walking dogs and 10 hours washing cars, will you have earned enough money for the holiday gifts? Where does 10 hours walking dogs and 10 hours washing cars fall on the graph? Is this location representative of the solution to the algebraic model? Click here for a sheet of graph paper to print.. 6.How would the algebraic model be different if you needed to earn more than $600? Adjust your algebraic model to show that you must earn more than $600. Would the graph of the model be different from the original? Would you include the line in the solution? What type of line represents "more than"? Graph your new algebraic model . 7.In complete sentences, explain the difference between a solid line and a dashed line when graphing an inequality. When graphing the two algebraic models, how did you determine which type of line to use? 8.How did you determine which part of the graph of the inequality to shade? What does the shaded area tell you? What does the area that is not shaded tell you?

#1. Let x be the number of hours spent dog walking, then the amount of money earned dog working is 12x.
#2. Let y be the number of hours spent washing cars, then the amount of money earned washing cars is 18y.
#3. 12x+18y \geq 600

ANSWERED AT 18/01/2020 - 12:50 PM


QUESTION POSTED AT 18/01/2020 - 12:50 PM

A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm. What is the area of the trapezoid?

470cm^3 its cubed but A=(B)(W)(H) 

ANSWERED AT 18/01/2020 - 12:49 PM


QUESTION POSTED AT 18/01/2020 - 12:49 PM

Find the value of y when x equals 4, -3x+9y=-57

-3(4)+9y=-57
-12+9y=-57
9y=-45
y=-5

ANSWERED AT 18/01/2020 - 12:48 PM


QUESTION POSTED AT 18/01/2020 - 12:48 PM

Find the value of y when x equals 1, 9x+7y=-12

9(1)+7y=-12
9+7y=-12
7y=-12-9
7y=-21
y=-3

ANSWERED AT 18/01/2020 - 12:46 PM


QUESTION POSTED AT 18/01/2020 - 12:46 PM

A customers services representative earns $13 an hour and he works 24 hours a week . What is his weekly wage

The Answer is $312

Your welcome


ANSWERED AT 18/01/2020 - 12:46 PM


QUESTION POSTED AT 18/01/2020 - 12:46 PM