here are two squares A and B. The length of the side A is 50% of the length of the side square B. Express the area of the shaded region of square A as a percentage of the area of square B.


Please answer quickly!!

Here Are Two Squares A And B. The Length Of The Side A Is 50% Of The Length Of The Side Square B. Express

Answers

Answer 1

Answer:

12.5%

Step-by-step Explanation:

==>Given:

Square A side length = 50% Square B side length

Area of Square A that is shaded = ½ of the area of Square B

==>Required:

Area of shaded region of Square A as a % of Area of Square B

==>Solution:

Let "b" be the side length of Square B

Let "a" be the side length of Square A

Since we are told that the side length of Square A (a) = 50% of side length of Square B (b), thus we have,

a = ½b

==>Let's find the area of Square A and Square B:

Area of a square = s², where s = side length

Area of Square A = (½b)² = b²/4

Area of Square B = b²

==>Let's find the area of the shaded region of the Square A = ½ of area of Square A.

Thus,

Area of shaded region of Square A = ½*(b²/4) = b²/8

==>Let's express the area of the shaded portion of square A as a percentage of are of Square B:

Thus, Area of shaded portion of Square A ÷ Area of Square B × 100%

[tex] = \frac{\frac{b^{2} }{8} }{b^{2} } * 100 [/tex]

[tex] = \frac{b^{2} }{8} * \frac{1}{b^{2} } * 100 [/tex]

[tex] = \frac{b^{2}*1 }{8*b^{2} } * 100 [/tex]

[tex] = \frac{b^{2} }{8*b^{2} } * 100 [/tex]

[tex] = \frac{1}{8} * 100 = 12.5 [/tex]

The area of the shaded region of Square A is 12.5% of the area of Square B.


Related Questions

Una casa de ropa tiene todos sus artículos en liquidación por cambio de temporada. El cartel de la puerta dice: 20% de descuento. Cuánto tendrá que pagar una persona que gastó $3500? Y alguien que gastó $8000

Answers

Answer:

$2,800 and $6,400

Step-by-step explanation:

Aquí, sabemos que hay un 20% de descuento en compras.

Entonces, para una persona que compró cosas por valor de $ 3,500, el monto que debe pagar será; 20/100 * 3500 = $ 700

Entonces, la cantidad a pagar = 3500-700 = $ 2,800

Para la persona que compró $ 8000, monto a pagar = 20/100 * 8,000 = $ 1,600

Cantidad a pagar = 8000-1600 = 6400

Evaluate (a + b)2 for a = 2 and b = 3.
10
25
13

Answers

Answer:

10

Step-by-step explanation:

( 2 + 3 ) × 2

5 × 2 = 10

Answer:

10

Step-by-step explanation:

(a+b)2

(2+3)2

5(2)

10

The polynomial x^2+3x-1 is a factor of x^4+3x^3-2x^2-3x+1 true or false?

Answers

Answer:

Yes, it is true that [tex]x^2+3x-1[/tex]  is a factor of [tex]x^4+3x^3-2x^2-3x+1[/tex].

Step-by-step explanation:

Let us try to factorize [tex]x^4+3x^3-2x^2-3x+1[/tex]

[tex]x^4+3x^3-2x^2-3x+1\\\Rightarrow x^4-2x^2+1-3x+3x^3[/tex]

Let us try to make a whole square of the given terms:

[tex]\Rightarrow (x^2)^2-2\times x^2 \times 1+1^2+3x^3-3x\\\Rightarrow (x^2-1)^2+3x^3-3x\\[/tex]

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

Formula used above:

[tex]a^{2} -2 \times a \times b +b^{2} = (a-b)^2[/tex]

In the above equation, we had [tex]a = x, b = 1[/tex].

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

Further solving the above equation, taking [tex]3x[/tex] common out of [tex]3x^3-3x[/tex]

[tex]\Rightarrow (x^2-1)^2+3x(x^2-1)\\[/tex]

Taking [tex](x^{2} -1)[/tex] common out of the above term:

[tex]\Rightarrow (x^2-1)((x^2-1)+3x)\\\Rightarrow (x^2-1)(x^2+3x-1)[/tex]

So, the two factors are [tex](x^2-1)\ and\ (x^2+3x-1)[/tex].

[tex]\therefore[/tex] The statement that [tex]x^2+3x-1[/tex]  is a factor of [tex]x^4+3x^3-2x^2-3x+1[/tex] is True.

Which of the following lengths can not be the lengths of the sides of a triangle? A.) 4,6,9 B.) 3,4,2 C.) 2,2,3 D.) 1,1,2

Answers

Answer:

D

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

4 + 6 > 9

Yes, these lengths can form a triangle.

3 + 4 > 2

Yes, these lengths can form a triangle.

2 + 2 > 3

Yes, these lengths can form a triangle.

1 + 1 = 2

No, these lengths cannot form a triangle.

Answer:

D

Step-by-step explanation:

the formula is

a + b > c

a+ c > b

b+ c > a

The answer is D because

given lenght(D answer) A=1 , B=1, C=2

Thus, follow the formula.

a+b>c

1+1>2 ❌

a+c>b

1+2>1 ✅

b+c>a

1+2>1 ✅

we know that a+b>c is wrong, so, it cant form a triangle

Which point is in Quadrant IV?

Answers

Answer:

1,1 or -1,3

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

bottom right quadrant is IV

Use the term 3xy + 2 to answer the following questions.

Answers

Answer:

5. 2 terms; 3xy, 2

6. 3

7. 0, can't be factored

Step-by-step explanation:

Not p has a truth value of 1 minus p. P logical and q has a truth value equal to the minimum of p and q. P logical or q has a truth value equal to the maximum of p and q. P right arrow q has a truth value equal to the min of 1 and 1 minus p plus q. P left right arrow q has a truth value equal to 1 minus StartAbsoluteValue p minus q EndAbsoluteValue. Suppose the statement​ "p: The sun is​ shining" has a truth value of 0.57 and the statement​ "q: Mary is getting a​ tan" has a truth value of 0.08. Find the truth value of

Answers

yes jxjfnsuspfjidheagdkhrsojieeidhj

On Monday, Crisitan groomed 15 dogs in 10 hours and Kenneth groomed 10 dogs in 8 hours. If they each make $12.75 per dog, how much did they each make on Monday?

Answers

Answer:

Christian made $191.25 and Kenneth made $127.50 each.

Step-by-step explanation:

With each dog, you multiply how many dogs with the amount of cash they get each dog.

Christian: 15x12.75= $191.25

Kenneth: 10x12.75= $127.50

So you just multiply the amount of dogs with money :)

A wedding ring costs £13000. Work out the price after a 11% price increase.

Answers

Answer:

£ 14,430

Step-by-step explanation:

Costing Price = £13,000

Increase = 11% of 13000

=> 11/100 × 13000

=> 11 × 130

=> £ 1430

Increased Price = 13,000+1430

=> £ 14,430

What is the simplified form of the given expression?
(4.2 x 103)(2.6 x 104)
A. 1.092 x 106
OB.
B. 1.092 x 107
C.
1.092 x 108
D. 1.092 x 1012​

Answers

Answer:option A

(4.2✖️10^3)(2.6✖️10^4)

4.2✖️2.6✖️10^3✖️10^4

10.92✖️10^3+4

10.92✖️10^7

10.92✖️10✖️10^6

1.092✖️10^6

Step-by-step explanation:

I hope this will help you:)

Answer:

1.092 x 10^8

Step-by-step explanation:

(4.2 x 10^3)(2.6 x 10^4)

Multiply the numbers

4.2* 2.6 =10.92

Add the exponents

10^3 * 10 ^4 = 10 ^(3+4) = 10^7

10.92 * 10^7

But this is not scientific notation, there can only be one digit in front of the decimal

Move the decimal one place to the left and add one to the exponent

1.092 * 10 ^(7+1)

1.092 x 10^8

Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2-5-8
b) -7 -12 -17 -22 -27

Answers

Answer:

a: -3n+1

b:-5n-2

Step-by-step explanation:

a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)

b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.

Hope this helps :),

Lily

Which is a memory strategy

A: Memorize every fact
B: Study alone to avoid distractions
C: let information sink in by studying just before tests
D: Review information shortly after you’ve learned it

Answers

Answer:

the answer should be D

Step-by-step explanation:

:)

What are the first three terms of the sequence defined by the recursive function an=an-1-(an-2-4), when a5=-2 and a6=0

Answers

Answer:

6, 10, 8

Step-by-step explanation:

aₙ= aₙ₋₁ - (aₙ₋₂ - 4)= aₙ₋₁ - aₙ₋₂ + 4

a₅= -2

a₆= 0

-----------

aₙ₋₂= aₙ₋₁ - aₙ + 4

a₄= a₅- a₆ + 4 = -2 - 0 + 4 = 2a₃= a₄ - a₅ + 4 = 2 - (-2) + 4 = 8a₂= a₃ - a₄ + 4 = 8 - 2 + 4 = 10a₁= a₂ - a₃ + 4 = 10 - 8 + 4 = 6

The first 3 terms: 6, 10 and 8

In a rectangular coordinate system, what is the number of units in the distance from the origin to the point (7, -24)?

Answers

Answer:

25 units

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Our points: (0, 0) and (7, -24)

[tex]d = \sqrt{7^2+(-24)^2}[/tex]

d = √(49+576)

d = √625

d = 25

Answer:

25

Step-by-step explanation:

You can also use the pythagorean theorem.

From  (0, 0) to (7, -24), one of the side lengths of the triangle is 24, and the other is 7.

Now we can use the pythagorean theorem with these numbers

[tex]7^2 +24^2=x^2[/tex], and now we can solve these squares to get

[tex]49+576=x^2\\625=x^2\\\sqrt{625} = x\\[/tex], So x = 25

Find the sum of 9c3d, 6c3d, and -7c2d2.

Answers

Answer 15c3d−7c2d2

Step-by-step explanation:

Help If anyones awake

Answers

Last option is the correct answer

Answer:

ASA Postulate

Step-by-step explanation:

[tex] In\: \triangle TKS\: \& \: \triangle TLR\\

\angle 1 \cong \angle 2....(given) \\

TK \cong TL... (given) \\

\angle 3 \cong \angle 4....(given) \\

\therefore \triangle TKS\: \cong \: \triangle TLR.. (ASA \: Postulate) \\[/tex]

Answer:

First option is the correct choice.

Step-by-step explanation:

AAS theorem applies here to prove the claim.

Best Regards!

what is( 7^4 * 9^-3 +7^5 * 9^-4) / 7^4 * 9^-4

Answers

Answer:

3.7168917E-7

Step-by-step explanation:

Answer:

3.7168917E-7

Step-by-step explanation:

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded. Which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ One-halfx + 3 y ≥ 2x + 3

Answers

Answer: [tex]y \leq \frac{1}{2} x+3[/tex]

Step-by-step explanation:

If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.

First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.

You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.

3 - 1 = 2

0 - (-4) = 4

2/4 = 1/2

The new equation is:

[tex]y=\frac{1}{2} x+b\\plugin(0,3)\\3=\frac{1}{2} (0)+b\\b=3[/tex]

Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to, [tex]\leq[/tex]

Answer:

B

Step-by-step explanation:

A collection of dimes and nickels has a total value of two dollars and contains 31 coins. How many dimes are there in the collection?

Answers

Answer:

There are 9 dimes in this collection.

Step-by-step explanation:

Dimes are 10¢; nickels are 5¢.

d + n = 31

0.1d + 0.05n = 2

In this system of equations, d represents the amount of dimes in this collection and n represents the amount of nickels in this collection.

1. Isolate n in the first equation.

n = -d + 31

2. Substitute this value into the other equation to find the value of d.

0.1d + 0.05(-d + 31) = 2

0.1d - 0.05d + 1.55 = 2

0.05d + 1.55 = 2

0.05d = 0.45

d = 9

If you'd like to know how many nickels are in the collection, just subtract the amount of dimes from the total number of coins in the collection.

31 - 9 = 22

Answer:

9 dimes

Step-by-step explanation:

kissa brought an item at Tsh 250,000/= she sold it by a certain price and got loss of 1/4 of the buying price. find the percentage loss.​

Answers

Answer:

Loss %age = 25%

Step-by-step explanation:

Cost Price of Item = 250,000/-

Loss = 1/4 = 0.25 of 250,000

=> 62,500 /-

%age Loss = [tex]Loss*100/Cost Price[/tex]

=> 62,500 * 100 / 250,000

=> 6,250,000/250,000

=> 25 %

Which equation is equivalent to
[tex] {4 }^{x + 3} = 64[/tex]
= 64?​

Answers

Answer: x= 0

Explanation
64 = 4^3
4^x+3 = 4^3
X+3 = 3
x =0

Use the point-slope form of a line to write the equation of a line that has a slope of 2 and passes through the point (–4, 3). Write the equation in slope-intercept form.

Answers

Answer:

Equation of a line y = mx + c

m = slope

m = 2

Using point ( -4,3)

Equation of the line is

y - 3 = 2(x +4)

y - 3 = 2x + 8

y = 2x + 8 + 3

y = 2x + 11

Hope this helps.

Answer:

B. Y = 2x + 11

Step-by-step explanation:

Got it right on edg.

The solutions of a quadratic equation are - 1,3. Write a related quadratic function in factored form.

Answers

Answer:

(x+1)(x-3)

Step-by-step explanation:

We simply convert the solutions into roots. We take the negative of the solutions and we put it into (x - root) form.

Answer:

(x+1) (x-3)

Step-by-step explanation:

(x+1)=0

x=-1

(x-3)=0

x=3

solutions are (-1, 3) we put -1 first because x always comes before Y value.

Please mark me as brainliest. I need to rank up.

Which ordered pair is a solution of the equation y-4=7(x-6)
Only (5,4)
Only (6,5)
Both
Neither

Answers

Answer:

first we will check if the coordinate (5,4) is a solution:

you fill in only the X-coordinate (or the y-coordinate). I fill in 5 for X:

y-4 = 7(5-6)

now we have to work this out like:

y-4 = 7 • -1

y -4 = -7

y = -3 if the coordinate was the solution for the y-coordinate the answer should be 4 but it isn't so coordinate (5,4) isn't a solution.

the same goes for coordinate (6,5):

y-4 = 7 (6-6)

y-4 = 0

y = 4 if the coordinate was the solution for the y-coordinate the answer should be 5 but it isn't so coordinate (6,5) isn't a solution.

so the answer is neither

Answer:

Neither

Step-by-step explanation:

Simplify the given equation.

y - 4 = 7(x - 6)

y - 4 = 7x - 42

y = 7x - 38

Now, take the point (5, 4) and test to see if this is a solution.

y = 7x - 38

4 = 7(5) - 38

4 = 35 - 38

4 ≠ -3

Since that point did not prove to be true, answer choices A and C are cancelled out.  Take point (6, 5) and test it.

y = 7x - 38

5 = 7(6) - 38

5 = 42 - 38

5 ≠ 4

Neither points provide a solution so D is the answer.

Jeremy has a total of $25 in dimes and nickels. He has 4 more dimes than nickels. Which system of equations can be used to determine the number of dimes, d, and the number of nickels, n, that Jeremy has?

Answers

Answer:

D

Step-by-step explanation:

Because it is 25 dollars and A and C shows that their is 2500 dollars so x A and C out. Then B shows that n-d=4 but the question says that d-n=4.

What is the product of 6x – y and 2x – y + 2?

Answers

Answer:

12x^2 - 8xy + y^2 + 12x - 2y

Step-by-step explanation:

Can i get some help please??? Thanks!!!!

Answers

Answer:

The length is 40 units.

Step-by-step explanation:

You need to use a triangle for the base then use the hypotenuse of the base as the base of the diagonal shown in the prism.

[tex]0.5*8*2=\\4*2=\\16[/tex]

The hypotenuse of the triangle of the base is 16.

[tex]0.5*16*5=\\8*5=\\40[/tex]

The diagonal shown in the prism is 40 units.

Alejandra correctly wrote the equation y - 3 = (x - 10) to represent a line that her teacher sketched. The teacher then
changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent
the new line?
O y-6 = 2(x - 10)
Oy-2 = 5(x - 10)
Oy-3 = {(x-2)
Oy-3 = 2(x - 10)

Answers

I think it’s D but I could be wrong

HELP ME!!! y is inversely proportional to square of x. Given that y=3 when x=7, find the value of x when y=18.375 TYSM!

Answers

Answer:

The value of x is -2√2 or 2√2.

Step-by-step explanation:

Given that y is inversely proportion to x², y ∝ 1/x². So the formula will be y = k/x² where k is the constant. In order, to find the value of k, you have to substitute the values of x and y into the formula :

[tex]y = \frac{k}{ {x}^{2} } [/tex]

[tex]let \: x = 7 \\ let \: y = 3[/tex]

[tex]3 = \frac{k}{ {7}^{2} } [/tex]

[tex]3 = \frac{k}{49} [/tex]

[tex]3 \times 49 = k[/tex]

[tex]k = 147[/tex]

[tex]y = \frac{147}{ {x}^{2} } [/tex]

Next, you have to substitute the y value into the equation to find x :

[tex]let \: y = 18.375[/tex]

[tex]18.375 = \frac{147}{ {x}^{2} } [/tex]

[tex]18.375 {x}^{2} = 147[/tex]

[tex] {x}^{2} = \frac{147}{18.375} [/tex]

[tex] {x}^{2} = 8[/tex]

[tex]x = ± \sqrt{8} [/tex]

[tex]x = - 2 \sqrt{2} \: \: or \: \: 2 \sqrt{2} [/tex]

Graph the solution set for the inequality
y > 2x - 5 by following these steps:
Step 1: Identify the slope and y-intercept.
slope = y-intercept =
-4

Answers

Answer:

Salutations!

The slope is (2)

And the y-intercept is (-5)

Hope you're having a good day, and may god bless :)

Slope of the given inequality is 2 and the y-intercept of the given inequality is (0, - 5).

What is an inequality?

"An inequality is the relationship between two values that are not equal is defined by inequalities. Inequality means not equal."

The given inequality is:

y > 2x - 5

By plotting this inequality, we get:

Slope of the given inequality is 2.

The y-intercept of the given inequality is (0, - 5)

Learn more about an inequality here: https://brainly.com/question/20708985

#SPJ3

Other Questions
What does this mean in English Aguas pinche culero. Estas chamquitas son culicagadas! WILL GIVE BRAINLIEST!! Find the mean of the 32 numbers, such that if the mean of 10 of them is 15 and the mean of 20 of them is 11. The last two numbers are 10. Please help me thanks you If ZPQR measures 75, what is the measure of ZSQR? Which of the following is an example of one of the successes of the Marshall Plan? A. A few Eastern European countries decided to turn to democracy. B. Western European economies were stronger than they had been before WWII. C. Borders between Western and Eastern European countries shifted. D. Eastern European countries eventually took part in the plan. Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation? c=-6 Conversion is defined as: Select one: a. intrusion on a person's solitude or seclusion and publishing private facts about a person. b. the unlawful taking of or exercise of control over the personal property of another person. c. the intentional confinement of a person for an appreciable time without the person's consent. d. the use of force to drive away a person's customers or employees. Which is the best approximation for the measure of angle ABC?27.731.758.362.3 Suppose that you buy a two-year 8% bond at its face value.A. What will be your nominal return over the two years if inflation in 3% in the first year 5 % in the second year. What will be your real return?B. Suppose that the bond is a TIPS. What will be your real and nominal returns? All triangles are similarTrueFalse What time did they arrive at the airport? Scientists have discovered that the inner core of Earth is a solid while the outer core is a liquid. What is the cause of this observation? In Silent Spring Rachel Carson makes up a fictional story about what life in the United States will be like if we dont save the environment, whereas in Save the Redwoods John Muir Suppose an operator of a weight scale certifies the weight of a good that is for sale. However, the accuracy of the scale used to weigh the good has not been checked in more than four years, even though the weight scale operator could have easily checked the accuracy of the scale. The scale gave an improper weight measurement that resulted in many problems with the shipping and sale of the product.VSuppose an operator of a weight scale certifies the weight of a good that is for sale. However, the accuracy of the scale used to weigh the good has not been checked in more than four years, even though the weight scale operator could have easily checked the accuracy of the scale. The scale gave an improper weight measurement that resulted in many problems with the shipping and sale of the product. The spreadsheet below shows the age, grade level, major, and minor of four students in college. A purple background in theMajor column indicates a student has previously changed his or her majorABDE1Age Year Major Minor2 Student 1 19 Sophomore Physics Math3 Student 2| 18 Sophomore Education Music4 Student 321 Junior Engineering Math5 Student 4 18 Freshman Engineering BusinessWhich task uses a simple parameter?O searching for freshman math studentsO searching for the oldest engineering studentssorting by age, then by majors from A to ZO sorting from youngest to oldest 8. Suppose Betty saves $200 each month in her 401(k) account. How much less will her monthly take-home pay be? (Assume a combined 20% state and federal income tax rate, as in the example.) The results of a survey of common allergies was organized into a Venn diagram. Circles D, C, and P overlap. Circle D contains 15. Circle C contains 18. Circle P contains 9. The overlap of circles C and D contains 7. The overlap of circles D and P contains 12. The overlap of C and P contains 10. The overlap of all 3 circles contains 1. Answer the questions about the following sets: D = {x | x is a person allergic to dogs}; C = {x | x is a person allergic to cats}; P = {x | x is a person allergic to pollen} How many people are not allergic to any of the three choices? How many people are allergic to all three choices? How many people are allergic to both dogs and cats but not allergic to pollen? How many people are allergic to cats only? Mr. Thano, age 47, withdrew $22,000 from his employer-sponsored qualified retirement plan to pay for his daughter's wedding. Compute the tax cost of the withdrawal if Mr. Thano has a 24% marginal tax rate on ordinary income. Tax Cost is_____ What is the area of a parallelogram if the coordinates of its vertices are (0, -2), (3, 2), (8, 2), and (5, -2)? MY LAST 3 QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!1. Curtis is trying to justify a step in his paragraph proof. What is the property that he should use? AB=BC therefore BC=ABA) Equality of Congruence PropertyB) Reflexive Property of CongruenceC) Symmetric Property of CongruenceD) Transitive Property of Congruence2. All of the following would make a formal proof incomplete except what?A) Incomplete sentencesB) Errors in logicC) A lack of justifications3. Which step in the proof has a flaw? IMAGE BELOW Given B is the midpoint of AC prove AB=BCA) Step 2B) No flaws.