A rectangle of side 48cm by 60cm is divided into squares of side X cm. Find the greatest value of X
and find the area of the square.

Answer:

I agree with none of them

Step-by-step explanation:

Given

[tex]Expression= 2^{28}[/tex]

[tex]Andre: 2 * 28 = 56[/tex]

[tex]Elena: 28 * 28 = 756[/tex]

Required

Who is correct?

[tex]Expression= 2^{28}[/tex]

When we apply law of indices to the above, it gives 2 multiplies by itself in 28 places

i.e.

[tex]Expression= 2^{28}[/tex]

[tex]Expression= 2*2*2*..........*2[/tex] ---- in 28 places

Andre's interpretation of the expression is incorrect as:

[tex]2^{28} \neq 56[/tex]

Also, Elena's expression is incorrect.

This is so, because

[tex]2^28 \neq 28*28[/tex]

Hence, both of them are incorrect and I agree with none of them

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].

Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].

Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].

i.e            [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]  (sum of angles on a straight line)

Thus,

i. [tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]  (sum of two opposite interior angles is equal to an exterior angle)

⇒ [tex]a^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]

Also,

[tex]b^{o}[/tex]  = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

But,

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] +  [tex]b^{o}[/tex])

and

[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]

ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex]   (sum of angles in a triangle)

[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])

Also,

[tex]a^{o}[/tex] +  [tex]b^{o}[/tex] = [tex]x^{o}[/tex]

⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]

[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]

Answer: a

Step-by-step explanation:

Answer:

the answer is d. it is written in scientific notation.

Step-by-step explanation:

have a nice day!

Answer:

16.25

Step-by-step explanation:

6.5 + 5 = 32.5/2 = 16.25

Answer:

it is corect

Step-by-step explanation:

Answer: 9.

Step-by-step explanation:  First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.

Answer: The answer is 9.

Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D

Answer:

125 / 8 centimeters

Step-by-step explanation:

Given:

V = s³

Where,

V = volume of the cube

s = side length of the cube

if marie's cube has a side length of 2 1/2 centimerters

That is,

s = 2 1/2 cm

V = s³

= (2 1/2)³

= (5/2)³

= 125 / 8 centimeters

NOTE:

(5/2)³ = 5³ / 2³

= 5*5*5 / 2*2*2

= 125 / 8

Answer:

m∠VUS = 122

Step-by-step explanation:

m∠TUX = 122°

∴m∠VUS = 122°(vertically opposite angles are equal)

hope this helps you!!

The solution is, m∠VUS = 122

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

from the diagram, we get,

m∠TUX = 122°

∴m∠VUS = 122°

(vertically opposite angles are equal)

Hence, The solution is, m∠VUS = 122.

To learn more on angle click:

brainly.com/question/28451077

#SPJ2

Using the permutations formula, it is found that: 11,232,000 different license plates are possible

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

The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.

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

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

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

In this question:

Thus:

[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]

11,232,000 different license plates are possible

A similar problem is given at https://brainly.com/question/16812463

Answer:

bruh i  cant see it

Step-by-step explanation:

Answer: what does the display say

Answer:

B)

Step-by-step explanation:

You need to add the first 2 numbers and the answer needs to be bigger than the third number and if you add 10 + 5 will be 15 and the third number is 17, so the answer of this is the B

Answer: I believe its Option 2

Step-by-step explanation: Sory if im wrong

Answer:

5

Step-by-step explanation:

125 breaks down into 5×5×5, which proves that it's 5.

Answer:

5 is the right answer

Step-by-step explanation:

Answer:

109°

Step-by-step explanation:

there are two ways to slove this kind of questions.

simply,x = 64 + 45

or x = 180-(180 - 64- 45)

Answer:

B. [tex]s=\dfrac{1}{4}\times420[/tex]

Step-by-step explanation:

Total number of students surveyed = 420

Of which only [tex]\dfrac{1}{4}[/tex] prefer rap.

So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.

[tex]\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105[/tex]

The number of students that prefer rap is 105

So the equation is [tex]s=\dfrac{1}{4}\times420[/tex].

Step-by-step explanation:

7.90.

Answer:

2

Step-by-step explanation:

take three off.

x+x=4

2x=4

x=2.

Hope this helps :D

Answer:

x= 15/2 im pretty sure

Step-by-step explanation:

We want to solve the given linear equation, we will find that the solution is x = -3.7

Here we have the equation:

3.8 = 2*x - 11.2

We want to solve this for x, so we can start by subtracting 11.2 in both sides to get:

3.8 - 11.2 = 2*x

-7.4 = 2*x

Now we can divide both sides by 2:

-7.4/2 = x = -3.7

So the solution is x = -3.7

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386

Answer:

All their angles must be equal and of the same ratio.

Step-by-step explanation:

Answer:

Equal Angles/Equal sides

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

Equation 1:

x+y=6(for the 6 times they scored)

x=-y+6

Equation 2:

7x+3y=26 (for the 7 point touchdowns, and 3 point field goals.)

7(-y+6)+3y=26(replace x with -y+6)

7y+42+3y=26(distrubite property)

-4y+42=26

-4y= -16

y= 4

Now that we know that y is equal to 4:

x+4=6

x=2

The number of touchdowns and field goals that the home team scored are 2 and 4 respectively

If the team scored six-time, this is expressed as;

x + y = 6

y = 6 - x ........................ 1

If in the football game, all for the home team's 26 points came from 7-point touchdowns and 3-point field goals, this is expressed as;

7x + 3y = 26 ...................2

Substitute equation 1 into 2 to have:

7x + 3(6-x) = 26

7x + 18 - 3x = 26

4x + 18 = 26

4x = 26 - 18

4x = 8

x = 2

Recall that y = 6 - x

y = 6 - 2

y = 4

Hence the number of touchdowns and field goals that the home team scored are 2 and 4 respectively

Learn more on simultaneous equations here: https://brainly.com/question/6597041

Answer:

the first one is correct

Step-by-step explanation:

Answer:

Translation: (x, y) ---> (x + 1, y)

Reflection: (x, y) ----> in the x-a

Answer:

rhe cost of one book was $4. 32/8=4

Step-by-step explanation:

32÷8=4 so mia spent 4 dollars

Answer:

The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE

Step-by-step explanation:

AE is a continuous line with consistent slope.

AC is a segment of this line and is the hypotenuse of triangle ABC.

CE is also a segment of AE and is the hypotenuse of triangle CDE.

Hope this helps.

Answer:

Here we want to calculate the 25% of $140.

Well, first we assume that:

$140 = 100%.

Now, assuming that, we can write the equation:

X = 25%

Where X is the 25% of $140.

Then we have the equations:

$140 = 100%

X = 25%

Let's take the quotient between these equations:

$140/X = (100%/25%)

Now let's solve this for X:

X = (25%/100%)*$140 = 0.25*$140 = $35

Then the tip will be of $35

35

you have to split 140 into 4 parts which is division

your  expression would be 140 divided by 4

Answer:

Step-by-step explanation:

yes