A square of side 4cm is enlarged by a scale factor 2.5. What is the are of the enlarged square

Answers

Answer 1

Answer:

10

Step-by-step explanation:

4 * 2.5  = 10


Related Questions

Solve the formula for the specified variable.

W=X+Xyz for z

Answers

Answer:

z= (w-x)/ xy

Step-by-step explanation:

w= x+xyz solve for z

w= x+xyz, isolate the term that has z by subtracting x from both sides (because is the opposite of adding x to the term xyz we try to isolate)

w-x = xyz, divide both sides by xy assuming that xy≠0 (because is the opposite of multiplying z by xy to solve for z, and xy≠0  because we do not want to divide by 0)

(w-x)/xy = z

Does (x, y) satisfy an equation?

Answers

Answer:

Yeah

Step-by-step explanation:

Solve log2(x + 5) + log2(x − 5) = log211.

Answers

Answer:

x = 6

Step-by-step explanation:

log2(x + 5) + log2(x − 5) = log2 11.

We know that loga (b) + log a(c) = log a( bc)

log2(x + 5) (x − 5) = log2(11)

Multiply

log2(x^2 -25) = log2(11)

Raise each side to the power of 2

2^log2(x^2 -25) = 2^log2(11)

x^2 - 25 = 11

Add 25

x^2 -25 +25 = 25+11

x^2 = 36

Taking the square root of each side

x = ±6

But x cannot be negative because then the log would be negative in log2(x-5) and that is not allowed

x = 6

Answer:

x = 6

Step-by-step explanation:

[tex] log_2[/tex] ( x + 5 ) + [tex] log_2[/tex]( ( x - 5 ) = [tex] log_2[/tex] 11

Determined the define range.

[tex] log_2[/tex] ( x + 5 ) + [tex] log_2[/tex]( ( x - 5 ) = [tex] log_2[/tex] (11), x ∈ ( 5, + ∞ )

We know that [tex] log_a ( b ) + log_a ( b ) [/tex] = [tex] log_a( bc) [/tex]

[tex] log_2[/tex] ( x + 5 ) ( x - 5 ) = [tex] log_2[/tex] ( 11).

[tex] log_2[/tex] ( ( x + 5 ) × ( x - 5 ) ) = [tex] log_2[/tex] ( 11).

Use indentity :- ( a + b ) ( a - b ) = a² - b².

[tex] log_2[/tex] ( x² + 25) = [tex] log_2[/tex] ( 11).

Since , the base of the logarithm are the same. set the arguments equal.

x² - 25 = 11.

Move constant to the right-hand side and change their sign.

x² = 11 + 25

x² = 36.

Take square root of each side.

√x² = √36

x = ± 6

x = 6

x = -6, x ∈ ( 5, + ∞ )

Check if the solutions is in determine range.

x = 6

Banks and other financial institutions offer incentives for people to keep their money in a savings account.
True or False?

Answers

it's true because it gives interset or compensation amount to the individuals or organizations which motivates people to save their money in a saving account

if 2^x > 4^ 15 and x is a positive integer, what is the least possible value of x?

Answers

Answer:

x = 31

Step-by-step explanation:

2^x > 4^ 15

Rewrite 4 as 2^2

2^x > 2^2^ 15

We know a^b^c = a^(b*c)

2^x > 2^ (2*15)

2^x > 2^30

Since the bases are the same, the exponents must follow the inequality

x> 30

Can y’all help me out?

Answers

Answer:

Expression is equivalent to (x^1/4 y^16)^1/2 is x^1/8 y^8

Evaluate:
18 (5n - 4) = [?]

Answers

Answer:

90n-72=0

Step-by-step explanation:

18×5n-18×4=0

Picture is right there pls help

Answers

Answer: B

Step-by-step explanation:

Using slope formula, change in y (3) over change in x (2) is 3/2. So the equation would be y=3/2x.

Answer would have to be b
I hope it helps

PLS ANSWER YA'LL!

A house owner wishes to cover their roof with solar panels. Each solar panel is of the following size.

->The roof section is rectangular 7.2 m by 4.4 m.

->Each solar panel measures 1400 mm by 850 mm.

There needs to be at least a 30 cm gap left at each edge of the roof section. The house owner thinks he can have at least 15 solar panels fitted to the roof section.

Can u agree? If yes, show the working. (Hint: He can rotate the solar panel)

Answers

Answer:

Yes

Step-by-step explanation:

The roof is Rectangular :

Dimension of roof section : 7.2 m by 4.4 m

Area of roof = length * width

Area of roof = 7.2 * 4.4 = 31.68 m²

Dimension of solar panels = 1400 mm by 850 mm

Converting to m:

1000mm = 1 m

1400/1000 by 850/1000 = 1.4 m by 0.85 m

Area each solar panel = 1.4 * 0.85 = 1.19 m²

Gap left at each edge :

30cm gap about the 4 edges gives a square with side length 30cm:

30cm = 30/100 = 0.3m

Area of gap left = 0.3² = 0.09 m²

Total area that can be covered = (31.68 - 0.09) m² = 31.59 m²

Maximum number of panels that can be placed on roof section :

Total area that can be covered / area of panel

31.59 m² / 1.19 m²

= 26.54 panels

asap answer pls ----------------

Answers

Answer:

C

Step-by-step explanation:

Answer is D because square-roots cannot have negative domains.
Hope it helps (:

(x + 6): x= 5:2 Work out the value of x.​

Answers

Answer:

x is 4

Step-by-step explanation:

[tex]{ \bf{(x + 6) : x = 5 :2 }} \\ { \tt{ \frac{(x + 6)}{x} = \frac{5}{2} }} \\ \\ { \tt{5x = 2(x + 6)}} \\ { \tt{5x = 2x + 12}} \\ { \tt{3x = 12}} \\ { \tt{x = 4}}[/tex]

Answer: x = 4 :)

(x + 6): x= 5:2

x : x + 6 : x = 5 : 2

1 + 6:x = 2,5

6:x = 2,5 - 1

6:x =  1,5

x = 6: 1,5

x= 4

Have a nice day:)

The circles are concentric. True False

Answers

Answer:

true, to my knowledge concentric circles are just circles that all have one main center.

Step-by-step explanation:

TRUE bc they have only one main centers like the person above said !

Bernard wants to give a book and a CD to Rachel for Rachel's birthday. Bernard has 2 books and 3 CDs. Tell whether the situation involves combinations or permutations. Then give the number of possible outcomes.

Answers

Answer:

6, permutation

Step-by-step explanation:

Book 1, CD 1

Book 1, CD 2

Book 1, CD 3

Book 2, CD 1

Book 2, CD 2

Book 2, CD 3

There are 6 permutations.

Two exponential functions are shown in the table.
Which conclusion about f(x) and g(x) can be drawn from
the table?
X
Х
f(x)=2*
g(x) =
2
4
1
4
1
O The functions f(x) and g(x) are reflections over the x-
axis.
O The functions f(x) and g(x) are reflections over the y-
axis.
O The function f(x) is a decreasing function, and g(x) is
an increasing function.
The function f(x) has a greater initial value than g(x).
1
2
1
0
-1
1
2
A-NI-
-2
4
Save and Exit
Nex
Submit

Answers

Given:

The two exponential functions are shown in the given table.

To find:

The correct conclusion about the functions f(x) and g(x).

Solution:

The given functions are:

[tex]f(x)=2^x[/tex]

[tex]g(x)=\left(\dfrac{1}{2}\right)^x[/tex]

The function g(x) can be written as:

[tex]g(x)=\dfrac{1}{2^x}[/tex]

[tex]g(x)=2^{-x}[/tex]

[tex]g(x)=f(-x)[/tex]

It means the graphs of f(x) and g(x) are reflections over the y-axis. So, option B is correct.

Since [tex]g(x)\neq -f(x)[/tex], therefore the functions f(x) and g(x) are not the reflections over the x-axis. So, option A is incorrect.

The function f(x) is an increasing function because the base of the exponent is [tex]2>1[/tex]. The function g(x) is a decreasing function because the base of the exponent is [tex]\dfrac{1}{2}<1[/tex]. So, option C is incorrect.

At x=0 the value of f(x) is 1 and the value of g(x) is also 1. It means the functions has same initial values. So, option D is incorrect.

Therefore, the correct option is B.

We can conclude that g(x) is a reflection over the y-axis of f(x).

How to find the transformation that relates the two functions?

The two functions are:

f(x) = 2^xg(x) = (1/2)^x

You can see the graph of these functions at the end of the answer.

You can also notice that g(x) can be written as:

g(x) = (1/2)^x = 2^(-x) = f(-x)

Then this is a reflection over the y-axis, thing that you can also see in the graph below.

So the correct option is:

"The functions f(x) and g(x) are reflections over the y-axis."

If you want to learn more about reflections, you can read:

https://brainly.com/question/4289712

Find the equation of the line that passes through (1,6) and (3,10).
y=2x+4
y=-2x+4
y=-24-4
Oy-23-4

Answers

Answer:

m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2    slope of line

y = m x + b standard form of straight line

y = 2 x + b      where b is the intercept at x = 0

b = y - 2 x

b = 6 - 2 = 4    from our first equation

Also, b = 10 - 6 = 4       check from second equation

y = 2 x + 4    is our equation

Check if y = 6 and x = 1 then

y = 2 * 1  + 4 = 6   verifying the first point given

A running track has two semi-circular ends with radius 27m and two straights of length 90.6m as shown.
Calculate the total distance around the track rounded to 1 DP.

Answers

Answer:

350.85

Step-by-step explanation:

90.6*2 = 181.2

27*2 = 54 (diameter)

54*pi = 169.646003294

169.646003294 + 181.2 = 350.846003294

350.846003294 = 350.85

What is the slope of the line shown below?
10
(8,8)
O A. -3
LO
(5,5)
O B. -1
O c. 1
-5
5
10
15
5
O D. 3
-10 1

Answers

Answer:

It's C. 1

Step-by-step explanation:

Use slope intercept form.

Instructions: Find the measure of the missing angle using the Exterior Angle Sum
Theorem

Answers

Answer:

It's an isosceles triangle equal 2 sides so

it will be x+67 ° +67 ° =180° ( sum of angle in triangle)

x+134 °=180 °

x =180 - 134

x = 46 °

The measurement of the missing angles in the given triangle is 67.

Use the concept of isosceles triangle defined as:

A triangle with two equal-length sides is said to be isosceles.

An isosceles triangle has equal angles on either side of its equal sides.

In the given figure,

One angle is 67 degrees

And two sides are equal.

Let the missing angle is x°

Since the two sides of this triangle are equal,

So this is an isosceles triangle.

Then two opposite angles must be equal.

For a triangle,

The sum of interior angles = 180°

Therefore,

67° + 67° + x° = 180°

x° = 46°

Hence,

The measurement of the missing angle is 46°

To learn more about the triangle visit;

brainly.com/question/1058720

SPJ4

What action represents the "!" symbol on a TI 84 plus CE calculator for a Statistics problem??

Answers

Answer:

The "!" represents a factorial

Step-by-step explanation:

In math, a factorial when there is an ! followed by a number.

For example, 5! = 5 factorial.

To solve factorials, multiply every integer below the number before the factorial, including the number.

5! = 5 x 4 x 3 x 2 x 1 = 120.

simplify:-a). (-5a²)²(6ab²)(-3ab²)​

Answers

First you would combine that like terms then add them all together, and your answer would be 2a^2 + b^2 +c^2

What is the solution to the equation?
-9=-10x-5

Answers

Answer:

2/5=x

Step-by-step explanation:

-9=-10x-5

Add 5 to each side

-9+5=-10x-5+5

-4 = -10x

Divide by -10

-4/-10 = -10x/-10

2/5 =x

Answer:

0.4

Step-by-step explanation:

you take the -5 to the other side as positive and that is -4 = -10X and then you divide -4 by -10 and that is 0.4 hope that helps

Which of the following is a characteristic of science?

Answers

Answer:d

Step-by-step explanation:

Answer:

D

explanation:

i got it right on the test

What could be the coefficient of x once the variable term is isolated on one side of the equation? Check all that apply.
3x - 6(5x + 3) = 9x + 6

1. Distribute: 3x - 30x - 18 = 9x + 6

2. Combine like terms: -27x - 18 = 9x + 6
–36
–27
–24
24
27
36

Answers

Answer:

-36,36

Step-by-step explanation:

3x - 6(5x + 3) = 9x + 6

 Distribute:

3x - 30x - 18 = 9x + 6

Combine like terms:

-27x - 18 = 9x + 6

There are two possible ways to isolate x

On the left

Subtract 9x from each side

-27x - 18 -9x = 9x-9x + 6

-36x -18 = 6

On the right

Add 27x from each side

-27x - 18 +27x = 9x+27x + 6

-18 =36x+ 6

Which of the following is the equation of a line in a slope= 5 and y-intercept at (0,-3)?

Answers

Answer:y=5x-3

Step-by-step explanation:

A researcher decides to find out whether giving students positive
reinforcement improves or impairs their grades. The researcher's sample
group consists of the following 8 students:
0 Jack
1 Tucker
2 Susie
3 Jill
4 Charianna
5 Trey
6 Ashton
7 Jordan
52197 66082 97867 49397 47924 78900 59414 64755 48733
Which of the following represents a 5-person group selected for the
treatment group using the first number in the line from a table of random
numbers above?
A. Charianna, Tucker, Jack, nobody, Ashton
B. Tucker, Susie, Trey, Ashton, Jordan
C. Trey, Susie, Tucker, Jordan, Ashton
D. Charianna, Tucker, Jack, Ashton, Trey

Answers

Answer:  C. Trey, Susie, Tucker, Jordan, Ashton

========================================================

Explanation:

The random sub-sequence 52197 66082 helps directly determine who we pick.

The digit 5 is first of that sequence, so we pick Trey first (as he's the 5th student). Then we pick student #2 next, who is Susie.

Up next is student #1, and that would be Tucker

Up next is student #9, but the list only goes high as 7. So we skip over 9

Jordan is next up since 7 is the next digit

Finally, the last selection is Ashton because 6 follows after.

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

In other words, the sequence 52197 6 will lead to these selections in the order provided.

5 = Trey2 = Susie1 = Tucker9 = skip, since it's not on the list7 = Jordan6 = Ashton

Side note: if we wanted a 6th student, then we'd have to skip over the next 6 since we cannot pick Ashton twice. The 6th selection would be Jack since he's student #0

Which of the following is the best definition of the sample space of a
probability event?
A. The number of successful outcomes
B. The measure of how likely an event is to occur
O O O O
C. The set of all possible outcomes
D. The most likely outcome

Answers

Answer:

C:The set of all possible outcomes

An acute angle of a right triangle measures 30°, and the length of the triangle's hypotenuse is 10 ft. Find the missing angle measure and side lengths.

Answers

Answer:

missing angle <60 and side lengths 5, 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

we understand from the given information that  the triangle in question is a special right triangle

and since this is a special triangle the side lengths follows :

the side length that sees <90 is represented by 2x

the side length that sees <60 is represented by x[tex]\sqrt{3}[/tex]

and the side length that sees <30 is represented by x

2x = 10 so x = 5 and  x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Graph the inequality.
1

Answers

Answer:

hope it helps

Step-by-step explanation:

a rectangle has a perimeter equal to 24 if we consider its width x how could we talk about its length y in terms of x what are the possible values of x what aree the possible values of y

PLZ HELP

Answers

wait ik you from rsm


Can help me with on this quick

Answers

Answer:

18

Step-by-step explanation:

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