The vertices of a shaded square are the midpoints of the sides of square ABCD. The length of the diagonal of square ABCD is 6 inches.

The Vertices Of A Shaded Square Are The Midpoints Of The Sides Of Square ABCD. The Length Of The Diagonal

Answers

Answer 1

Answer:

A=13.47 in.

P=14.68 in.

Step-by-step explanation:

First, we have to figure out the sides of square ABCD. The diagonal forms the hypotenuse of a right equilateral triangle.

a²+a²=6²

2a²=36

a²=18

a=√18

a=4.24

Half of 4.24 would be the distance From each corner of ABCD to the neighboring midpoints.  (2.12)

2.12²+2.12²=c²

4.49+4.49=c²

13.48=c²

√13.48=c

3.67=c

Now that we know each side of the shaded square, we can get the area and perimeter.

A=3.67x3.67=13.47

P=3.67x4=14.68


Related Questions

The distance from Cherotich's home to school is
2km 400m. He goes to school in the morning
and returns in the evening daily. What distance
does he cover from Monday to Friday?

Answers

Step-by-step explanation:

his one day distance=2400m

his mon -fri distance=2400×4

=9600m

PLS HELP BIG RESPONSE ALOT OF POINTS

Answers

Answer: Melanie has the most money at the end of the week.

Step-by-step explanation:

Melanie gets the 1 weekly allowance. But it could also depend on how much her weekly allowance is. Your bus rides aren't a lot, so riding the bus 7 times doesn't take much money. She also gets paid for 2 hours, so she could be working somewhere with more money being paid by the hour. While on the other hand, Dana could be working a minimum wage job and wasting more money, because she also pays for food. She could be on her own and have to spend more money for her needs and the things she would need. (And because it says Melanie gets 1 weekly allowance that means she still lives with her parents so they pay for her benefits and things she needs.)

Melanie has reg most money by the end of the week

Laptop computers are measured according to the diagonals of their screens. A 16-inch laptop has a screen that is 7 inches tall. How wide is the screen?

Answers

Approximately 14.4 inches I think is the correct answer!

Solve for the unknowns.
a, b , c ,d

Answers

Answer:

can u plz make a good picture to solve I can't see good

Step-by-step explanation:

and thanks

What is the solution to the system of equations?
3x – 9y = -13
x – 3y = -7
(a) Use the substitution method to justify that the given system of equations has no solution.
(b) What do you know about the two lines in this system of equations?
PLEASE PLEASE PLEASE HELPPP

Answers

Answer:

a. it has no solution

b. you can only substitute by making either the 'x' or 'y' the subject of either of the two equations.

Step-by-step explanation:

3x - 9y = -13.............. eqn 1

x - 3y = -7................... eqn 2

from eqn 2

x - 3y = -7, substitute by making 'x' the subject

x = -7 + 3y.................. eqn 3

put eqn 3 into eqn 1

3x - 9y = -13

3( -7 + 3y) - 9y = -13

-21 + 9y - 9y = -13

9y - 9y = -13 + 21

0 = 8, which is not possible.

Find LR, given kite FLRD with diagonals intersecting at A and FA = 4, AR = 12, LA = 5

Answers

Answer:

LR = 13

Step-by-step explanation:

LAR is a right triangle and if two sides are known you can you use the pythagorean theorem to find the missing side

LA = 5

AR = 12

5² + 12² = LR²

LR² = 25 + 144

LR² = 169

LR = √169 = 13

Rhonda has a USB drive that can hold 8 million bytes choose the best approximation of the number of bytes that Rhonda’s USB drive can hold

Answers

Answer:

8 times 10^9

Step-by-step explanation:

hope it helps





please help me 80% of what number is 16
What is the part?
What is the total?
What is the percent?
What is the answer?​

Answers

Answer:

80 percent of 16 is 12.8 I'm sorry but that's all I know

DEFG maps out Carrie’s dog walking route. If she does one complete loop, how far does she walk with her dogs?

Answers

Answer:

Step-by-step explanation:

Actually it’s 4 square root 17

Mrs. Hicks can grade 25 quick checks in 20 minutes. Ms. Place can grade 36 quick checks in 30 minutes. Which teacher is working at a faster rate? How do you know?

Answers

Answer:

Ms place is working at a faster rate because Mr.Hicks is doing 0.8 per minute while Ms.Place is doing 0.83 per minute.

Ughhhhhh 0.83 I think

In the diagram, the measure of angle 5 is (10x – 9)°, and the measure of angle 7 is (9x)°. What is the measure of angle 6, to the nearest degree?

A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 6, to the nearest degree?

Answers

9514 1404 393

Answer:

  99°

Step-by-step explanation:

If we assume that angles 5 and 7 are vertical angles, they are congruent:

  10x -9 = 9x

  x = 9 . . . . . . . add 9-9x

Then angles 5 and 7 are ...

  (10·9 -9)° = 9·9° = 81°

Angle 6 will be the supplement to this.

  angle 6 = 180° -81°

  angle 6 = 99°

Answer:

the answer is not 99

Step-by-step explanation:

I need help pls. I'm not sure how to solve it​

Answers

Answer:

0 is an integer and a whole number

Determine the multiplier in each situation below.

a. A 44% increase

b. A 93% decrease

Answers

Answer:

Step-by-step explanation:

%s can drive a person crazy.

44% increase

Cost = 100% * x + 44%x

Cost = x ( 100 / 100 + 44/100)

Cost = x (1 + 0.44)

Cost = 1.44 x

93% decrease

Cost = 100%x - 93%x

Cost = x * (100/100 - 93/100)

Cost = x * (1 - 0.93

Cost = 0.07 x

Answer:

1.44 and 0.07

Step-by-step explanation:

(a)

A 44% increase of the original amount (100%) is

100 + 44 = 144% = [tex]\frac{144}{100}[/tex] = 1.44 ← multiplier

(b)

A 93% decrease of the original amount (100%) is

100 - 93 = 7% = [tex]\frac{7}{100}[/tex] = 0.07 ← multiplier

which equation is equivalent to 2/3 x -5 / 6 equals -5 / 12 x + 1 / 4​

Answers

Answer:

13x=13

Step-by-step explanation:

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

The price of an item yesterday was $85. Today, the price rose to $119. Find the percentage increase.

Answers

Answer:

40% increase

Step-by-step explanation:

Answer:

[tex] \frac{34}{85} \times 100 = 40\%[/tex]

Step-by-step explanation:

the increase is 119-85=34

the percentage increase would be 34/85 ×100%

=0.4×100%=40%

-10 + 10у + -3y +7
DOES ANYONE KNOW THE ANSWER????????????

Answers

Answer:

The answer is 30.

Step-by-step explanation:

Don't worry about the x and y it just make your head confuse, that's what my teacher said just add up the number.

Help pls!!ty!!:))):):

Answers

Answer:

Step-by-step explanation:

y = 85x+90

3) 85*3+90 (rule)

y= 85*3 = 255 + 90 = 345  (output)

4) 85*4+90 (rule)

y = 85*4=  340 + 90 = 430 (output)

Can you please solve these systems of equations using elimination for x and y?
1. 8x+2y=46
7x+3y=47

2. 4x+6y=62
7x+3y=47

3. 4x+6y=62
2x+6y=76

4. 8x+1y=43
2x+4y=98



Answers

Answer:

(4.4, 5.4), (3.2, 8.3), (-7, 15), (23 4/15, 2 7/15)

Step-by-step explanation:

1.

Multiply the first equation by 3/2:

3/2×8x + 3/2×2y = 3/2×46    12x + 3y = 69

Subtract the second equation:

12x - 7x = 69 - 475x = 22x = 4.4

Find y:

4*4.4 + y = 23y = 23 - 17.6y = 5.4

2.

Double the second equation and subtract the first one:

14x - 4x = 94 - 6210x = 32x = 3.2

Find y:

4*3.2 + 6y = 626y = 62 - 12.86y = 49.8y = 8.3

3.

Subtract the second equation from the first one:

4x - 2x = 62 - 762x = -14x = -7

Find y:

4(-7) + 6y = 626y = 62 + 286y = 90y = 15

4.

Multiply the second equation by 4 and subtract the first one:

16y - y = 4(98) - 4315y = 349y = 349/15y = 23 4/15

Find x:

8x + 23 4/15 = 438x = 19 11/15x = 2 7/15

Answer:

1. [tex]x\x=\frac{22}{5}=4.5, y=\frac{27}{5}=5.5[/tex]

2. [tex]x=\frac{16}{5}=3.2,y=\frac{41}{5}=8.3[/tex]

3. x=−7,y=15.

4. [tex]x=\frac{37}{15}=2\frac{7}{15},y=\frac{349}{15}=23\frac{4}{15}[/tex]

Step-by-step explanation:

I hope this helps.

Calculate the amount of money​ you'll have at the end of the indicated time​ period, assuming that you earn simple interest. You deposit ​$3400 in an account with an annual interest of 4.5 ​% for 20years. The amount of money​ you'll have at the end of the years is

Answers

Answer:

The amount of money​ you'll have at the end of the years is 6460 dollars

Step-by-step explanation:

The total principal sum of money deposited = [tex]3400[/tex] dollars

The annual rate of interest is [tex]4.5[/tex] %

The time period for which the amount is invested [tex]= 20[/tex] years

As we know

[tex]A = P (1 + rt)[/tex]

where A is the amount after 20 years

P is the principal sum of money

r is the rate of interest and

t is time period in years

Substituting the given values in above equation, we get -

[tex]A = 3400 (1 + \frac{4.5}{100} * 20)\\A = 6460[/tex]dollars

What is the BEST estimate for the measure of angle c?
A) 77
B) 88
C) 99
D) 111

Answers

Answer:

88

Step-by-step explanation:

Looks close to a right angle so 88 degrees most likely.

Answer:

b 88

Step-by-step explanation:

Solve the problem:
Kiram has 5 ziploc bags. He puts an equal number of marbles (X). Then he realized that he
needed to add 2 more marbles for each bag. If the total number of marbles is 30 how many
marbles in each bag?

Answers

Answer:

Step-by-step explanation:

ohfpifpijpijsfpjspijpsijfpsjfpsjfpisjfpijsfpsijf

Need helppp with this

Answers

Answer:

fhted ghtf. hyrdvhurf gjyev vr htrevhuwf ngttgnm

Find the values of m and n.
A. m = 60, n = 12
B. m = 50, n = 20
C. m = 50, n = 16
D. m = 60, n = 24

Answers

Answer:

D. m= 60, n= 24

Step-by-step explanation:

The angle marked with blue, will also be 2m° (Vertically opposite angles)

So, 2m = (4m- 120)°

2m = 120°

m = 60°

Now, (4m-120)° = 5n° (Vertically opposite angles)

[4(60)- 120]° = 5n°

240- 120 = 5n°

120/5° = n

n= 24°

Hope this helps you

ASAP pls help

A chef has 5 blocks of butter. Each block weighs 1 pound. She cuts each block into fourths. How many 1/4 -pound pieces of butter does the chef have?

Answers

Answer:

20, 1/4 pound pieces of butter

Step-by-step explanation:

1/4*4= 1 pound

so,

4*5=20

:)

i know an isosceles triangle has 2 congruent (equal) sides but does it have any equal angles?

Answers

Answer:

Step-by-step explanation:

To have two equal sides there must also be two equal angles.

I believe the answer is A Because an isosceles triangle has two equal sides and two equal angles.

Which represents the value of c?
Oc=
(3) sin(409)
sin (45)
C =
(3) sin(45)
sin (409)
C =
sin(409)
(3) sin(45°)
sin(45)
(3) sin(409)

Answers

Answer:

c = 3.3 cm

Step-by-step explanation:

A = 180 - (95 + 45) = 40° (sum of triangle)

a = 3.0 cm

C = 45°

c = ?

Applying the Law of Sines, we have:

[tex] \frac{Sin(40)}{3} = \frac{Sin(45)}{c} [/tex]

Cross multiply

[tex] Sin(40)*c = Sin(45)*3 [/tex]

Divide both sides by sin(40)

[tex] c = \frac{Sin(45)*3}{sin(40)} [/tex]

c = 3.3001886 ≈ 3.3 cm (nearest tenth)

CAN SOMEONE TELL ME THE AREA PLEASE

Answers

Answer:

1.3 m²

Step-by-step explanation:

The shape is a trapezoid.

Area of a trapezoid = ½(a + b)*h

Where, a = 0.8 m

b = 1.8 m

h = height of the trapezoid which is not given.

Therefore, find h using trigonometric function with 45° as reference angle:

Hypotenuse = 1.4 m

Opposite = h

Apply SOH, which is:

Sin 45 = Opp/Hyp

Sin 45 = h/1.4

1.4*Sin 45 = h

0.989949493 = h

h ≈ 1.0 m

✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²

Use the estimates from (c) and (d) to calculate the relative change in the average household
income from 2002 to 2012. Round to the nearest one percent. Indicate if the change is an
increase or decrease.

Answers

Answer:

it decreased by 5.55% change of 6%

The relative change is -6% Rounding to the nearest percent.

What are average?

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

The relative change can be calculated by dividing the absolute change (the subtraction of the values) by the initial value.

The absolute change is the final value minus the initial value;

Absolute change = 51000 - 54000 = -3000

Now, calculating the relative change;

Relative = -3000/54000

Relative = - 0.0555

Since the relative change is negative, this change indicates a decrease.

Therefore, the relative change is -6% Rounding to the nearest percent.

Learn more about average here;

https://brainly.com/question/27851466

#SPJ2

URGENT PLZ HELP

for what values of X and Y is quadrilateral ABCD a parallelogram

Answers

Answer:

x = 9

y = 3

Step-by-step explanation:

Since this is a quadrilateral the opposite side lengths must be equal

5x - 20 = 7x - 38

38 - 20 = 7x - 5x

18 = 2x divide both sides by 2

9 = x same goes for y

6x - 31 = 4y + 11 we already know x = 9 so

6×9 - 31 = 4y + 11

54 - 31 - 11 = 4y

12 = 4y divide both sides by 4

3 = y

i will give u brain list! :)

Answers

The answer is 60 square centimeters
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