The drawing shows a heart-shaped figure. The heart is composed of a square and two semicircles. The semicircles have the center in the middle of two of the sides.
a) Set up a formula to calculate the area of ​​the heart.

The Drawing Shows A Heart-shaped Figure. The Heart Is Composed Of A Square And Two Semicircles. The Semicircles

Answers

Answer 1

Answer:

Area = πx² + x² or x²(π + 1)

Step-by-step explanation:

The area of the heart = area of a circle + area of the square

Note:

1. The 2 semicircles makes 1 full circle

2. The diameter of the circle = the side length of the square

Thus:

Area of the heart = πr² + s²

Where,

r = x

s = x

Formula for area of the heart = π(x²) + x² = πx² + x²

Area = x²(π + 1)


Related Questions

According to a​ survey, 61​% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed last year are randomly​ selected, and the number cleared by arrest or exceptional means is recorded.
​(a) Find the probability that exactly 39 of the murders were cleared.
​(b) Find the probability that between 36 and 38 of the​ murders, inclusive, were cleared.
​(c) Would it be unusual if fewer than 20 of the murders were​ cleared? Why or why​ not?

Answers

Answer:

B

Step-by-step explanation:

I don't know if this is right but give it a like pls it would really make me happy.

One week, Madeline earned $61.20 at her job when she worked for 4 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $214.20?

Answers

Answer:

Step-by-step explanation:

($61.2/4hr)t=$214.2

t=$214.2(4hr/$61.2)

t=14 hours

which expression is equivalent to 2x+2x+2y+2y

Answers

4x plus 4y seems to be equal to that situation right there

is AB a tangent why or why not??​

Answers

Answer:

As angle B is a right triangle, the sides AB and CB are perpendicular to each other. From the property of all tangents to a circle given in the beginning it can be concluded that AB is a tangent of the circle

What is a number
between 1.63 and 1.64

Answers

Answer:

1.635

Step-by-step explanation:

Stephan and John are reading the same book. Stephan reads 7 pages a day and is on page
22. John reads 9 pages a day and is on page 10. How many days until Stephan and John are on the same page? What page will they be on?

Answers

Answer:

6 Days

Page 64

Step-by-step explanation:

(9 x 6) + 10

(7 x 6) + 22

it took them 6 days to reach the same page number (64)

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Have a great day, be safe and healthy

Thank u  

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Help, I don’t understand this DeltaMath question

In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=52°, and JH = 4.2 feet. Find the length of IJ to the nearest tenth of a foot.

Answers

I can use the angle and the length of JH to find the length of IJ.

To do this, I look at the relationship IJ and JH have to the 52 degree angle. JH is opposite to angle I, and IJ is adjacent to angle I. Because the two side lengths are opposite and adjacent, I use the tangent function to solve this.

Tangent of an angle = the length of the opposite side / the length of the adjacent side. This is just another way to say tan(x)=opposite/adjacent

Now I can fill in what I know...
tan(52)=4.2/x
Now, I want to isolate x.
tan(52) = 4.2/x
x(tan(52))=4.2
x=4.2/tan(52)

Now I put 4.2/tan(52) into a calculator and get x = 3.3 ft

Hope this helps!


Line A is represented by the following equation: x + y = 2

What is most likely the equation for line B so the set of equations has no solution? (4 points)

Group of answer choices

x + 2y = 2

2x + 2y = 4

2x + y = 2

x + y = 4

Answers

Answer:

x+y=4

Step-by-step explanation:

No solution means that the lines will never intersect. We know that the slope of line A is -1, and it's y intercept is 2. If you look at the last option for the answer choices, it's slope is also -1, but it's y intercept is at 4. These lines have the same slope, also known as parallel, so they will never intersect, thus giving no solution

Answer:

x + y=4

Step-by-step explanation:

it just is

1. HEIGHT Eduardo is 6 feet tall and casts
a 12-foot shadow. At the same time,
Diane casts an 11-foot shadow. Ilow tall
is Diane?

Answers

Answer:

5.5

Step-by-step explanation:

6 feet =12

6 feet = 6x2

11 feet shadow 11/2

answer=5.5

The height of the diane when the height of euardo and diane cast should be given so it should be 5.5.

Calculation of the height:

Since

HEIGHT Eduardo is 6 feet tall and casts a 12-foot shadow. At the same time, Diane casts an 11-foot shadow.

So,

6 feet tall = 12

Now for 11 foot it should be half like 5.5

Hence, The height of the diane when the height of euardo and diane cast should be given so it should be 5.5.

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what does 1+1=pls tell​

Answers

Answer:

its 11

Step-by-step explanation:

.....…............

I NEED HELP ASAP SO MUCH POINTS!!!!! PLEASE

Answers

Answer:

IT IS D TRUST ME

Step-by-step explanation:

Answer:

A.) A debt of $752 is evenly split among 4 family members

Step-by-step explanation:

It's asking what best represents -188, so in the problem it has to be negative (have keywords like decreasing, debt, minus, etc) which leaves answers A and D, D. has a decreasing of inches (4), however the hours aren't decreasing so the answer is A

Which steps will translate f(x) = 3* to g(x) = 3x + 1 + 4?
O Shift f(x) = 3* one unit up and four units to the right.
O Shift f(x) = 3* one unit up and four units to the left.
O Shift f(x) = 3one unit to the right and four units up.
Shift f(x) = 3* one unit to the left and four units up.
Mark this and return
Save and Exit
Nexi
Submit

Answers

Answer:

the first one of your answers

Step-by-step explanation:

4 by the power of 1 x 3

The correct step to translate f(x) = 3ˣ to g(x) = 3ˣ⁺¹ + 4 is:

Shift f(x) = 3ˣ one unit to the right and four units up. So option C is correct

What are functions?

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

This means that for every x value,

we add 4 to the y-value and move the y-value one unit to the right.

To see this graphically, imagine a graph of the equation f(x) = 3x.

This graph will be a line that passes through the origin (0,0) and has a slope of 3.

If we shift this line one unit to the right, then the x-intercept (the point where the line crosses the x-axis) will change from (0,0) to (1,0).

If we also add 4 to the y-value of every point on this line,

then the y-intercept (the point where the line crosses the y-axis) will change from (0,0) to (0,4).

The resulting graph will be the graph of the equation g(x) = 3ˣ⁺¹ + 4.

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PLS PLS PLS PLSSS HELPPPP

Answers

Answer:

Step-by-step explanation:

12-12(1-75/100)

12-12(25/100)

12-3

9oz

Kaitlin bought a sofa on sale for $468. This price was 35% less than the original price.
What was the original price?

Answers

Answer:

720

Step-by-step explanation:

468 = 65% of the original price

So,

468÷ 0.65 = 720 $. Just to be sure 720*0.35 = 468

Solve 2x – 5 = 7 ?


Please help !

Answers

Answer:

6

Step-by-step explanation:

1st step add 5 on both sides

2x=12

2nd step divide 2 on both sides

then you get.....

x=6

answer

x=6

Evaluate using the functions f(x) = 3x–8 and g(x) = -x2+ 4x–11.
1 . f(10+10
2. g(-9)+7
3. -2xg(4)
4. f(-4)-g(7)
5. Given f(x)= 9 –2x, if f(x)= 19, find the value of x.

Answers

The value of f(10)+10 for the given function is 32.

The given functions are  f(x) = 3x-8 and g(x) = -x²+ 4x-11.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

1) Put x=10 in the function f(x) = 3x-8, we get

f(10)=3(10)-8

= 22

So, f(10)+10

= 22+10=32

2) Put x=-9 in the function g(x) = -x²+ 4x-11, we get

g(-9)=-(-9)²+4(-9)-11

= -81-36-11

= -128

So, g(-9)+7

= -128+7

= -121

3) Put x=4 in the function g(x) = -x²+ 4x-11, we get

g(4) = -(4)²+4(4)-11

=-16+16-11

=-11

Now, -2xg(4) =-2x(-11)

=22x

4) Put x=-4 in the function f(x) = 3x-8, we get

(-4)=3(-4)-8

= -20

Put x=7 in the function g(x) = -x²+ 4x-11, we get

g(7)=-(7)²+4(7)-11

= -49+28-11

= -32

5. Given f(x)= 9 –2x, if f(x)= 19

Now, 9-2x=19

⇒ -2x=10

⇒ x=-5

Therefore, the value of f(10)+10 for the given function is 32.

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What are m and bin the linear equation, using the common meanings of m and b?
1 + 4x + 6 - X= y

Answers

Answer:

[tex] \times = 18[/tex]

Find the surface area of the shape below.

Answers

Answer:

A=384 [tex]cm^{2}[/tex]

Step-by-step explanation:

A =2(wl+hl+hw)

A=2(8*8+8*8+8*8)

A=2(64+64+64)

A=2(192)

A=384

Who has the better biking rate? Josh bikes 24 miles in 20 minutes and Maddie bikes 39 miles in 30 min

Answers

Maddie just go with it

Amelia was showing off her basketball skills. She scored a total of 14 shots for a total of 32 points. How many 2 point and 3 point shots did she make?

Answers

Answer:

Step-by-step explanation:

x+y=14

y=14-x

2x+3y=32, using y=14-x we have

2x+3(14-x)=32

2x+42-3x=32

-x+42=32

-x=-10

x=10, and since y=14-x

y=14-10=4

So Amelia made 10 two-pointers and 4 three-pointers.

PLZ HELP ME!!!! I'LL GIVE U EXTRA POINTS IF ITS RIGHT

Answers

I believe it is B. Have a good day.

What is the value of min the figure below? In this diagram, AABD - ABCD.
A. 336
B. 78
C. 126
D. 624
E. 52
F. 178

Answers

Answer: correct answer is C

Step-by-step explanation:

The value of m in the figure is √126.

Option C is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

ΔABD is similar to ΔBCD.

This means,

The corresponding sides ratio is equal.

AB/BC = BD/CD = AD/BD

AB/m = BD/7 = 11/BD

Now,

BD/7 = 11/BD

BD² = 77

BD = √77

Now,

ΔBDC

BC² = CD² + BD²

m² = 7² + 77

m² = 49 + 77

m² = 126

m = √126

Thus,

The value of m in the figure is √126.

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Juan ran of a mile 2/5 every 4/7 of an hour. Find Juan’s rate in miles per hour

Answers

Answer:

Juan runs 7/10 of a mile every hour

Step-by-step explanation:

First find out how much he ran every 1/7 of an hour

2/5 x 1/4 = 4/7 x 1/4

1/10 = 1/7

1/10 x 7 = 1/7 x 7

7/10 = 1

I need help on the first top row please help!!

Answers

the top row is 1 and the bottom row is 8/5

Factorise the following expression :​

Answers

Answer:

(i)(a - 2y) (3x - 4b)

(iii) (m - n)(m + 4)

Step-by-step explanation:

(i)

3ax - 6xy + 8by - 4ab

= 3x (a - 2y) - 4b (-2y + a)

= 3x (a - 2y) - 4b (a - 2y)

= (a - 2y) (3x - 4b)

(iii)

[tex] {m}^{2} - mn + 4m - 4n \\ \\ = m(m - n) + 4(m - n) \\ \\ = (m - n)(m + 4)[/tex]

Please help as much as you can :)

Answers

9514 1404 393

Answer:

  (x, y) = (3, 7)

Step-by-step explanation:

If you divide the second equation by 2, it becomes ...

 -x +2y = 11

Adding this to the first equation gives you the value of y:

  (x -y) +(-x +2y) = (-4) +(11)

  y = 7 . . . . . . . . simplify

The first equation can be rearranged to give an expression for x:

  x = y -4

  x = 7 -4 = 3

Then the solution is seen to be (x, y) = (3, 7).

__

Personally, I like a graphing calculator for a quick and easy solution to many linear systems. (If the solutions are non-integers, it may not be so helpful.)

what is the percent change for 45 to 8

Answers

I found 83.2285 I don’t know if your supposed to round it or not if so it’s 83

Hope I helped

The ratio of blondes to brunettes in Ms. Sarni's class is 2:3. If there are a total of 25 students, how many of the have blonde hair? *

Answers

Answer:

the number of blonde hair is 10

Step-by-step explanation:

The computation of the number of blonde hair is shown below;

Given that

Ratio of blonde to brunetees is 2:3

And, there is total of 25 students

So, the number of blonde hair is

= 25 × 2 ÷ (2 + 3)

= 25 × 2 ÷ 5

= 10

Hence, the number of blonde hair is 10

Which of the following terms best describes the relationship between /W and /X ( Answer as soon as possible please)

Answers

Answer:

B. Same-side interior angles

Step-by-step explanation:

Angle w and angle x lie on the same side of the transversal that cut across the two parallel lines, and are also within the two parallel lines. They are therefore regarded as same-side interior angles. Same-side interior angles are supplementary.

PLEASE HELP!! PLEASEEEE

Answers

Answer:

42

Step-by-step explanation:

BAC=90

BAD=48

DAC=BAC- BAD

=90-48

=42

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