A rectangle has vertices at (0,0), (4,0), (4,3), (0,3). Give the base and height of three parallelograms with the same area

Answers

Answer 1

Answer:

The base and height of three parallelograms with the same area as the 12 square inches rectangle are

1) First parallelogram;

Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

2) Second parallelogram

Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

3) Third parallelogram

Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

Step-by-step explanation:

The vertices of the rectangle are; (0, 0), (4, 0), (4, 3), and (0, 3)

Let ABCD represent the vertices of the rectangle such that we have;

A(0, 0), B(4, 0), C(4, 3), and D(0, 3)

The area of the rectangle, A = The length of AB × The length of CB

The length of AB = √((4 - 0)² + (0 - 0)²) = 4

The length of CB = √((4 - 4)² + (3 - 0)²) = 3

∴ The area of the rectangle, A = 4 × 3 = 12 square units

The area of a parallelogram = Base length × Height

The base and height of three parallelograms with the same area as the 12 square inches rectangle are;

1) Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

The area of the parallelogram, A = Base × Height;

∴ A = 4 units × 3 units = 12 units²

2) Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

The area of the parallelogram, A = Base × Height;

∴ A = 6 units × 2 units = 12 units²

3) Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

The area of the parallelogram, A = Base × Height;

∴ A = 5 units × 2.5 units = 12 units².


Related Questions

Kevin buys a shirt for $25 and a pair of jeans for $42.50. If the sales tax is 8%, what is the total price Kevin pays for the items?

Answers

Answer:

He would pay $62.10

Step-by-step explanation:

   $42.50

+  $25.00

   $67.50

-          8%

   $62.10

   

Bobbi is maintaining a campfire. She has kept the fire steadily
burning for 12 hours with 18 logs. She wants to know how many
hours she could have kept the fire going with 9 logs. She assumes all
logs are the same. How many hours can Bobbi keep the fire going
with 9 logs?

PLEASE HELPPP!!!!

Answers

Answer:

6

Step-by-step explanation:

If she wants to go from 18, to 9, which is 1/2, then she’d have to cut the time in half as well. 12 divided by 2 is 6!

Hope this helped you!

HELP ME PLS! Customers at the gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the situation

Answers

Answer:

the slope should represent the fee of each class

.

the vertical intercept is the membership fee

Answer:

the y-inyetcept means the starting fee to join

and the slope means fee per class paid by the customers.

Step-by-step explanation:

PLEASE HELP ASAP PLEASE ​

Answers

Answer:

9

Step-by-step explanation:

Range = Max value - min value

Max value = 6

Min value = -3

Range:

6 - (-3)

6 + 3

9

Answer:

9

Step-by-step explanation:

there are 9 numbers between -3 and 6 ;)

what is the rate of change of y=0.5•x-2

Answers

Answer:

0.5

Step-by-step explanation:

rate of change is just a synonym for slope and the equation for slope is y=mx +b where m is the slope so 0.5=m and if m= slope then 0.5=slope=rate of change :)

Solve the following quadratic equations using factoring.

b. x2 + 3x = 70

Answers

We can easily silve it by splitting the middle term or by using the discriminate method *

* splitting

x 2 +3x -70

x2 + 10x - 7x -70

x(x + 10) -7(x +10)

(x / 7) ( x + 10)

x = 7 or -10

In a​ lottery, the top cash prize was ​$642 ​million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 46. A player wins a minimum award of $400 by correctly matching two numbers drawn from the white balls​ (1 through 53​) and matching the number on the gold ball​ (1 through 46​). What is the probability of winning the minimum​ award?

Answers

Answer:

[tex] \frac{10}{53 \times 46 \times 26} [/tex]

Step-by-step explanation:

The probability of matching the number drawn on the gold ball is

[tex] \frac{1}{46} [/tex]

The number of possible pairs of numbers from 1 to 53 is

[tex] \binom{53}{2} = \frac{53 \times 52}{2} = 53 \times 26[/tex]

Choosing 5 numbers, you are choosing 10 different pairs:

[tex] \binom{5}{2} = \frac{5 \times 4}{2} = 10[/tex]

Therefore the probability of correctly matching the drawn pair is

[tex] \frac{10}{53 \times 26} [/tex]

Thus, the probability of winning (matching the pair AND the gold ball) is

[tex] \frac{10}{53 \times 46 \times 26} [/tex]

A zoologist studies a population of 800 rabbits. He tags 160 rabbits at random, of which 37 have blue eyes. Based on this data, about how many rabbits in the population have blue eyes?

Answers

Answer:

185

Step-by-step explanation:

Population size = 800

Sample size = 160

Number of blue-eyed rabbit in sample = 37

The proportion of blue-eyed rabbit in the sample is :

p = number of blue eyed rabbit / sample size

p = 37 / 160 = 0.23125

Estimated number of blue eyed rabbit in population :

p * population size

0.23125 * 800

= 185

5x^2 + 2x - 7=0
thanks

Answers

Answer:

If you put the equation into go__ogle you will get an explanation on how to solve

Step-by-step explanation:

Answer:

(x-1) (5x+7)

Step-by-step explanation:

I factored using the berry method

9) What is the radius of a circle with a
circumference of 25 cm?

Answers

Nnjjjnjiijjjoppooopplppp

the diameter of a billard ball is approximately 6 cm. what is its volume? round your answer to the nearest whole number

Answers

Answer:

The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.

A. 113 cm3

B. 903 cm3

C. 25 cm3

D. 38 cm3

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

6

centimeters

...................................................................................................................................................

For this case we have that by definition, the volume of a sphere is given by:

Where:

r: It is the radius of the sphere

According to the data we have to:

Substituting we have:

The option that best fits is option B.

Answer:  v=113cm3

The option that best fits is option B.

...............................................................................................................................................

Answer:

V ≈ 904 cm³

Step-by-step explanation:

Let r denotes radius

r = 6cm (given)

As it a sphere of radius 6cm,

Volume of a sphere,

V = 4/3 π r³

V = 4/3 (3.14) (6)³

V = 4/3 (3.14) x 216

V = 4 (3.14) x 72

V = 12.56 x 72

V = 904.32 cm³

Rounding off,

V ≈ 904 cm³

...............................................................................................................................................

Answer:

113 cm

Step-by-step explanation:

Which is greater 20.903 or 2.209
TELL CORRECT

Answers

Answer:

20.93

Step-by-step explanation:

20.00 > 2.00

Mhanifa can you please help? I will mark brainliest

Answers

Answer:

D. Opposite sides are congruent

Step-by-step explanation:

As per picture we see two pairs of opposite sides marked as congruent

Correct choice is the last one:

D. Opposite sides are congruent

jackson is paid $250.for 5
days of Work how much IS
he paid per day

Answers

$50 per day.
First you divide 250 dollars by 5 then you will get 50 dollars

Please help me with this

Answers

2)

Okay so because the right side is two times the length and width of the left side, we need to divide 20 and 14 by 2 which gives us 10 and 7. That means x+2 = 10 so we need to subtract 2 from each side which gives you 8. Therefore, x = 8.

20/2 = 10

10 - 2 = 8

x = 8

what is a equation for 11 5 and b

Answers

answer: i need more information in order to help

factorise it
[tex]v[/tex]

Answers

Answer:

2(x – ½)(x + ½)

Step-by-step explanation:

2x² – ½

The above expression can be factorised as follow:

2x² – ½

2 is common to both 2 and ½. Thus,

2x² – ½ = 2[x² – ¼]

Recall

(½)² = ¼

Thus,

2[x² – ¼] = 2[x² – (½)²]

Difference of two squares

2(x – ½)(x + ½)

Therefore,

2x² – ½ = 2(x – ½)(x + ½)

TRAY A tray in a school cafeteria has the dimensions shown. Find the area of the tray.

Answers

Answer:

This is your answer

Please help I’ll mark BRAINLIEST!!!

Answers

-10,-7,-4,-1,2,5 This is the answer to your question

(580+393,873,532) -(353,453x4,543)÷657

Answers

Answer:

257169554605/657 or about 391430068

Answer:

1844540.13242 or 1844540 R 87

Step-by-step explanation:

(393874112 ) - (1605736979) = -1211862867 ÷ 657 = 1844540.13242

The long division work is in the image.

What type of
slope does
this line have?
A. Positive Slope
B. Negative Slope
C. o Slope
D. Undefined Slope

Answers

undefined

because zero slope is side ways  

Is 8.92 less than 9.089?​

Answers

No. I believe 9.089 is more then 8.92
yes. 8.92 is less than 9.089

BRAINLY TO WHOEVER HELPS ASAP

Answers

Answer: A, D

Step-by-step explanation:

For number 7 the answer is A

For number 8 since you are only moving it is the same size, therefore, producing a congruent image for all 3 of those translation. So for 8 the answer is d.

Answer:

Look Below

Step-by-step explanation:

1) The answer is A. It is A because if you want a reflected images across the Y-Axis, you want just the X value to change. Not the Y. So since the Y is positive and the X is positive, if you want a reflected image you want the X to be negative and the Y to be positive.

2) The answer is D. It is D because those are all forms that will produce a Congruent Image.

If you find any faults in my answer please let me know. Thanks! Have a Good Day!

pls whats the solution to this question.
(x-1÷x)^6.
and also solve with full workings.​

Answers

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{ANSWER:}}}}[/tex]

[tex] \frac{ {x}^{12} - {6x}^{10} + {15x}^{8} - {20x}^{6} + {15x}^{4} - {6x}^{2} + 1 }{ {x}^{6} } [/tex]

[tex]\huge\red{\boxed{\tt{\colorbox{pink}{Solution:}}}}[/tex]

[tex](x - 1 \div x) {}^{6} [/tex]

Arrange the powers

[tex] \frac{x {}^{12} - {6x}^{10} + {15x}^{8} - {20x}^{6} + {15x}^{4} - {6x}^{2} + 1 }{ {x}^{6} } [/tex]

#❀CARRY ON LEARNING❀#❀KEEP ON LEARNING❀#❀LEARNING IS FUN❀#❀LETS LEARN❀#❀NoToCopyPaste❀❀hope it helps(◕ᴗ◕✿)❀❀Keep safe!❀

Will the following measurements create a triangle? 25 25 130

Answers

Answer:

if those measurements are degrees, then yes. If those measurements are the side lengths, then no.

Step-by-step explanation:

all angles on a triangle must had up to 180 degrees.

the two smaller sides of the triangle must add up to be larger than the largest side.

Help please no links as an answer

Answers

Answer:

essentially the answer is 33

Plz help I’m bad at math

Answers

Answer:

1 is 136, 2 is 44, annd 4 is 44

Step-by-step explanation:

1/2x-5=10-3/4x please helpppppp

Answers

Answer:

x=12

Step-by-step explanation:

1/2x - 5 = 10 - 3/4x ---> move like terms to the same side

1/2x + 3/4x = 10 + 5 ---> calculate

5/4x = 15 ---> multiply both sides by 4/5

x = 12

Joshua invested $97,000 in an account paying an interest rate of 6% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 8 years?

Answers

Answer:- $154,763.5

Answer:

answer is 156753.03

Step-by-step explanation:

Question 2 (1 point)
A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking,
you choose a tile. What is the probability of drawing a number?

Answers

..........2/3...........
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