The dimensions of four rectangles are given below. Which has an area different from the area of each of the other three?

Answers

Answer 1

To determine which of the rectangles has a different area, the areas of the four rectangles must be calculated. The rectangle with a different area is rectangle b

The dimension of the 4 rectangles are:

a. length: 4x and width: 4

b. length: 11 and width: x

c. length: 2 and width: 8x

d. length: 16x and width: 1

The area of a rectangle is:

[tex]Area = Length \times Width[/tex]

Rectangle (a)

[tex]Area = 4x \times 4[/tex]

[tex]Area = 16x[/tex]

Rectangle (b)

[tex]Area = 11 \times x[/tex]

[tex]Area = 11x[/tex]

Rectangle (c)

[tex]Area = 2 \times 8x[/tex]

[tex]Area = 16x[/tex]

Rectangle (d)

[tex]Area = 16x \times 1[/tex]

[tex]Area = 16x[/tex]

Rectangles (a), (c) and (d) have the same area (i.e. 16x) while rectangle (b) has 11x as its area.

Hence, the rectangle with a different area is rectangle (b).

Read more about areas of rectangles at:

https://brainly.com/question/14383947


Related Questions

Correct answer gets 5 stars and brainliest

Answers

Answer:

Does the answer help you?

Answer:

D

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other two sides then the triangle is right.

longest side = 12 and 12² = 144

5² + 8² = 25 + 64 = 89

Since 5² + 8² ≠ 12² , then triangle is not right → D

What is the answer in scientific notation?

(5.1 × 106) x (4.3 × 105)

A 0.8 × 106

B 0.8 × 105

C 4.67 × 105

D 4.67 × 106

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\star \ (5.1 \times10^6) \times (4.3 \times 10^5)\ \star}[/tex]

[tex]\huge\boxed{10^6}[/tex]

[tex]\huge\boxed{= 10 \times 10 \times10 \times10 \times10 \times 10}[/tex]

[tex]\huge\boxed{= 100\times 100\times100}[/tex]

[tex]\huge\boxed{= 10,000\times100}[/tex]

[tex]\huge\boxed{= \bf 1,000,000}[/tex]

[tex]\huge\boxed{\star\ (5.1 \times 100,000) \times(4.3 \times 10^5)\ \star}[/tex]

[tex]\huge\boxed{10^5}[/tex]

[tex]\huge\boxed{= 10 \times 10 \times10 \times 10 \times 10}[/tex]

[tex]\huge\boxed{= 100\times100\times 10}[/tex]

[tex]\huge\boxed{= 10,000\times10}[/tex]

[tex]\huge\boxed{= \bf 100,000}[/tex]

[tex]\huge\boxed{\star \ (5.1 \times 1,000,000) \times (4.3\times 100,000)\ \star}[/tex]

[tex]\huge\boxed{5.1 \times 1,000,000}[/tex]

[tex]\huge\boxed{= \bf 5,100,000}[/tex]

[tex]\huge\boxed{4.3 \times 100,000}[/tex]

[tex]\huge\boxed{= \bf 430,000}[/tex]

[tex]\huge\boxed{\star\ 5,100,000 \times 430,000\ \star}[/tex]

[tex]\huge\boxed{= \bf 2,193,000,000,000}[/tex]

[tex]\huge\boxed{0.8 \times 10^6}[/tex]

[tex]\huge\boxed{= \bf 800,000}[/tex]

[tex]\huge\boxed{0.8 \times 10^5}[/tex]

[tex]\huge\boxed{= \bf 80,000}[/tex]

[tex]\huge\boxed{4.67\times10^5}[/tex]

[tex]\huge\boxed{= \bf 467,000}[/tex]

[tex]\huge\boxed{4.67 \times 10^6}[/tex]

[tex]\huge\boxed{= \bf 4,670,000}[/tex]

[tex]\huge\boxed{\textsf{Therefore, this makes the answer: \bf NONE}}\\\hug\boxed{\textsf{of the \bf ABOVE}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]

If f(x) = 3x + 5 and g(x) = -2x2 - 5x + 3, find (f + g)(x).

Answers

Answer:

A

Step-by-step explanation:

(f+g)(x) simply means you add f(x) and g(x).

[tex]-2x^2-5x+3x+3+5=(f+g)(x)[/tex]

We can then simplify by combining like terms to get

[tex]-2x^2-2x+8[/tex]

A is correct!

Convert 110011 no decimal number System​

Answers

(110011)2 = (51)10

Step by step solution

Step 1: Write down the binary number:

110011

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x25 + 1x24 + 0x23 + 0x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x32 + 1x16 + 0x8 + 0x4 + 1x2 + 1x1 = 32 + 16 + 0 + 0 + 2 + 1

Step 4: Add up the numbers written above:

32 + 16 + 0 + 0 + 2 + 1 = 51.

So, 51 is the decimal equivalent of the binary number 110011.

Find the length of the third side. If necessary, round to the nearest tenth.
4
Submit Answer
Answer:
attempt 1 out of 2
PLS HELP ASAP

Answers

Answer:

5

Step-by-step explanation:

p=4 b=3 h=?

h²=p²+b²

=4²+3²

=16+9

h²=25

h=5

help me please
[tex] \frac{ \cos(80) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(70) } = 2 \\ \\ \frac{ \cot(40) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(115) } = 2[/tex]

Answers

Answer:

[tex] \frac{ \cos(80) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(70) } = 2 \\ \frac{ \cos(90 - 10) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(9 0 - 20) } = 2 \\ \frac{ \sin(10) }{ \sin(10) } + \frac{ \sin(20) }{ \sin(20) } = 2 \\ 1 + 1 = 2 \\ 2 = 2 \\ \\ \frac{ \cot(40) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(115) } = 2 \\ \frac{ \cot(90 - 50) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(90 + 65) } = 2 \\ \frac{ \tan(50) }{ \tan(50) } + \frac{ \cos(65) }{ \cos(65) } = 2 \\ 1 + 1 \\ = 2[/tex]

Which property of equality would be used to isolate the variable b in this equation?

3/4 x b = 12

A. addition property of equality

В. subtraction property of equality

C. multiplication property of equality

D. symmetric property of equality

Answers

Answer:

C. multiplication property of equality

Step-by-step explanation:

3/4b = 12

Multiply each side by 4/3 using the multiplication property of equality

4/3* 3/4b = 12*4/3

b = 16

17 + 5x = -23

please help​

Answers

Answer:

x= -8

Step-by-step explanation:

Answer:

[tex]17 + 5x = - 23 \\ 5x = - 23 - 17 \\ 5x =-4 0 \\ x = \frac{ - 40}{5} \\ \boxed{x = - 8}[/tex]

Therefore, the value of x is -8.

please solve it
find the value of x​

Answers

Answer:

The measure of angle x is 25 degrees.

Step-by-step explanation:

Since triangle ABC is an isosceles triangle, the measure of angle BAC is equal to the measure of angle ACB. Angle ABC = 80 degrees, leaving 100 degrees to be divided equally for the measures of the other two angles. Now that you know that angle ACB = 50 degrees, you can calculate the value of angle ACD and determine that angle ACD = 130 degrees. Triangle ACD is also an isosceles triangle, and the two equal legs are AC and CD. Since angle ACD = 130 degrees, the other two angles have a total of 50 degrees. Splitting the 50 degrees equally between the two angles gives you 25 degrees as the value of angle CAD, which is labeled "x."

Find two different integers such that the square of the integer is 12 less than seven times the integer

Answers

9514 1404 393

Answer:

  3, 4

Step-by-step explanation:

If x represents the integer, then the relationship required is represented by the equation ...

  x^2 = 7x -12

  x^2 -7x +12 = 0 . . . . put in standard form

  (x -3)(x -4) = 0 . . . . . factor

The values of x that make this relation true are x=3 and x=4.

The two integers are 3 and 4.

help lol i forgot everything of the summer time

fill in the table using this function rule

Answers

Answer:

hope it help you

Step-by-step explanation:

mark me brailiest answer

What I do is plug x into the equation to find y

1. Y=-4(-1)+3
Y=4+3
Y=7
2. Y=-4(0)+3
Y=0+3
Y=3
3. Y=-4(1)+3
Y=-4+3
Y=-1
4. Y=-4(2)+3
Y=-8+3
Y=-5

Hope this helps!! :)

What is the least common multiple of 70, 60, and 50?

Answers

Answer:

2100

Step-by-step explanation:

LCM of 70, 60, and 50?

First, find the prime factorization of each number.

70 = 2 * 5 * 7

60 = 2^2 * 3 * 5

50 = 2 * 5^2

The LCM is the product of some of the factors above. These are the factors you need to multiply together.

Choose factors that are common with the highest exponent and also factors that are not common.

Common factors: There is a 2, a 2^2, and a 2. Use the 2^2.

There is a 3. Use it.

There is a 5 and a 5^2. Use the 5^2.

There is a 7. Use it.

LCM = 2^2 * 3 * 5^2 * 7

LCM = 2100

Answer: 2100

What is the solution of the system of equations?

y = –3x + 7
y = 2x – 8

Answers

Answer:

(3,-2)

Step-by-step explanation:

The easiest way to solve this is to realize that in both equations, the ys must have the same value. So the right side of each equation can be equal.

-3x + 7 = 2x - 8            Add 8 to both sides

-3x + 7 + 8 = 2x           Combine

-3x + 15 = 2x                Add 3x to both sides

15 = 2x + 3x                 Combine and exchange sides

5x = 15                         Divide by 5

x = 15/5          

x = 3

Use y = 2x - 8 to solve for y

y = 2(3)  = 8

y = 6 - 8

y = - 2

3 1/2 + (-5 2/3 ) ÷ ( 1 3/4)²

Answers

1 191/294 ≅ 1.6496599
1 55/192 or 247/192 or 1.286

Follow order of BEDMAS. Converting fractions into decimals may help, just make sure you add the remainder.

right answers only!!!

Answers

Step-by-step explanation:

7

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

The answer is C) 2786.23
The correct answer is A

Point C is on the midpoint of a section of highway, represented by AB. If AB = 32 miles,
AC = 4x miles, and CB = 12 + x miles, explain three different ways
that
you
could
solve for x.

Answers

To solve this question, we need to understand the concept of midpoint.

Doing this, we get that x is equals to 4 miles., and we find it using each of these three ways:

[tex]AC = CB[/tex][tex]AC = \frac{AB}{2}[/tex][tex]CB = \frac{AB}{2}[/tex]

Segment:

C is the midpoint of the segment AB, which means that:

The distance of the initial point A to the midpoint C is the same as the distance of the midpoint C to the final point B.

[tex]AC = CB[/tex]

The distance of the midpoint to one of the endpoints is half the total distance, that is:

[tex]AC = \frac{AB}{2}[/tex]

[tex]CB = \frac{AB}{2}[/tex]

Solution:

We have to solve for x, considering one of the three relations.

Considering:

[tex]AC = 4x, CB = 12 + x[/tex]

[tex]AC = CB[/tex]

[tex]4x = 12 + x[/tex]

[tex]4x - x = 12[/tex]

[tex]3x = 12[/tex]

[tex]x = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

The solution for x is x = 4 miles.

A similar question is found at https://brainly.com/question/24114584

Find X

A. 3
B. sqrt6
C. 3sqrt3
D. 3sqrt2/2

Answers

Answer:

B. sqrt 6 is the answer.maja

Find the height of the triangle

Answers

Answer:

The height is 12 cm

Step-by-step explanation:

Hi there!

We are given a triangle with the 3 sides marked as 15, 20, and 25 and we want to find the height of it (marked as x in the problem).

This problem can seem a bit difficult, but let's see if the triangle is a right triangle first off.  

One way to figure out if it is a right triangle is to apply the converse of the Pythagorean theorem.

Let's label the sides, where a is the shortest side, b is the second shortest side, and c is the longest side:

a=15

b=20

c=25  

Now square a and b, then add the result together. If it's the same as c squared, then the triangle is a right triangle

15²+20²=25²

225+400=625

625=625

So we can safely say that the triangle is a right triangle

This makes the problem way easier, as there are 2 ways to find the area of a right triangle:

The first way is to multiply the legs (the sides that make up the right angle) together, then divide the result by 2

The other way is to multiply the height and the hypotenuse (the side OPPOSITE to the right angle) together, and then divide the result by 2

First, we need to figure out which sides are the legs, and which side is the hypotenuse

By the triangle inequality theorem, the hypotenuse of a right triangle is the longest side, which means that the 25 cm side is the hypotenuse, and that leaves 15 cm and the 20 cm sides as the legs

So let's find the area of the triangle using the legs

A=[tex]\frac{15*20}{2}[/tex]=[tex]\frac{300}{2}[/tex]=150

So the area of the triangle is 150 cm²

However, as mentioned above, we can also find the area of the triangle by multiplying the hypotenuse by the base, then dividing the result by 2

Which means that the area is also:

A=[tex]\frac{25x}{2}[/tex] cm²

As these both equal the area of the triangle, we can set them equal to each other. This is possible via a property known as transitivity (if a=b and b=c, then a=c)

[tex]\frac{25x}{2}=150[/tex]

Multiply both sides by 2

25x=300

Divide both sides by 25

x=12 cm

So the height of the triangle is 12 cm

Hope this helps!

If a school camp has enough food for 150 students over 5 days
How long would the food last for is only 100 students are there

Answers

Answer:

It is over 7 days

hope it helps

Evaluate C(6, 3)

120
720
20

Answers

Answer:

20

Step-by-step explanation:

C(6,3) = 6!/[3!(6-3)!]

= 20

are there any inputs that cannot be evaluated by the function 6/x-3?

Answers

Answer:

as written

[tex]\frac{6}{x} -3[/tex]  zero would not be allowed....

BUT !!! I think that your question

is ......

[tex]\frac{6}{x-3}[/tex]    then the answer is "3"

Step-by-step explanation:

Find the value of x and y​

Answers

[tex]\\ \rm\Rrightarrow \dfrac{x}{2}=3[/tex]

[tex]\\ \rm\Rrightarrow x=2(3)[/tex]

[tex]\\ \rm\Rrightarrow x=6[/tex]

And

[tex]\\ \rm\Rrightarrow \dfrac{y}{2}+1=3[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{y}{2}=3-1=2[/tex]

[tex]\\ \rm\Rrightarrow y=2(2)[/tex]

[tex]\\ \rm\Rrightarrow y=4[/tex]

Answer:

x=6 y=4

Step-by-step explanation:

Equating corresponding terms , we get

x/2=3

or, x=6

Also,

y/2+1=3

or, (y+2/2)=3

or, y+2=6

or, y=6-2

y=4

Therefore, x=6 and y=4.

melanie is cutting a 6 1/2 inch piece of yarn from a string that is 15 3/4 inches long how much yarn will be left

Answers

Answer:

9 1/4 inches would be left

Step-by-step explanation:

The question is
"Mia has a large bag of sweets, If i share the sweets equally among 1,2,3,4,5 or 6 people, there will always be 1 sweet left over"
with step by step pls :(

Answers

Answer:

61

or

421

Step-by-step explanation:

Find the L.C.M. of 2,3,4,5,6 and add 1.

2| 2-3-4-5-6

-------------------  

2| 1-3-2-5-3

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

3| 1-3-1-5-3

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

5| 1-1-1-5-1

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

 | 1-1-1-1-1-1

L.C.M.=2×2×3×5=60

reqd. number=60+1=61

if i distribute between 2,3,4,5,6 people then reqd number is 61

if Mia is also among those people or she gets also share

then the people are2,3,4,5,6 or 7

L.C.M. of 2,3,4,5,6,7=60×7=420

so reqd number is 420+1=421

PLEASE HELP! URGENT. the law of cosines is a2+b2-2abcosC=c2. Find the value of 2abccosC.

Answers

Answer:

D

Step-by-step explanation:

2ab*cos(C)=a^2+b^2-c^2

2ab*cos(C)=5^2+4^2-2^2=25+12=37

Answer:

The answer is 37

Step-by-step explanation:

round 2.034 to the nearest whole number

Answers

Answer:

2

Step-by-step explanation:

2.034

We are rounding to the ones place.

To round, look at the digit to the right of which we are rounding. In this case, it is 0.

0 is less than 5, so we just keep the 2.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

2

Step-by-step explanation:

2.034 can be rounded to 2.000, or 2. This is because the digit after the two in the tenths place, 0, is less than 5.

Brainliest, please!

Simplify the expression

Answers

3^5 divided by 3^3 is 9

Answer:

B

Step-by-step explanation:

[tex] \frac{{3}^{5} }{ {3}^{3} } = {3}^{5 - 3} = {3}^{2} = 9 [/tex]

What is the image of (-5,-5) after a dilation by a scale factor of 3 centered at the origin

Answers

Answer:

(-15,-15)

Explanation:

The dilation of 3 to the image means that each coordinate point is multiplied by 3. So, multiplying -5*3 gets you -15.

Write your answer as a polynomial or a rational function in simplest form

Answers

Answer:

-x²

Step-by-step explanation:

[tex](f+g)(x)\\\\5x-x^2-5x\\\\-x^2[/tex]

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