3 semicircles are connected to 3 sides of a square. each side of the square measures 4 centimeters. what is the area of the composite figure? (6π 4) cm2 (6π 16) cm2 (12π 4) cm2 (12π 16) cm2

Answers

Answer 1

The area of the composite figure  with 3 semicircles connected to 3 sides of a square is (6π+16)[tex]cm^{2}[/tex].

What is a semicircle?

A semicircle is a plane shape that is a part of a circle divided into two equal parts through its diameter.

Analysis:

Since the semicircles are connected to 3 sides of a square 4cm, the diameter of the semicircle is 4cm.

Radius of semicircle = 4/2 = 2cm

Area of a semicircle = π[tex]r^{2}[/tex]/2 = [tex]\pi[/tex][tex](2)^{2}[/tex]/2 = 2π[tex]cm^{2}[/tex]

For three semicircles = 3 x 2π[tex]cm^{2}[/tex] = 6π[tex]cm^{2}[/tex]

Area of square = [tex]s^{2}[/tex] = [tex](4)^{2}[/tex] = 16[tex]cm^{2}[/tex]

Area of composite figure  = Area of 3 semicircles + area of square

Area of composite figure = (16 + 6π)[tex]cm^{2}[/tex]

In conclusion, the area of the composite figure is  (16 + 6π)[tex]cm^{2}[/tex].

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Answer 2

Answer:

C. (6π + 16) cm2

Step-by-step explanation:

Got it right on the quiz


Related Questions

match the turms with the values using this set of data 46, 72, 15, 72, 19, 10 what are the mean medien and range​

Answers

Answer:

See below ~

Step-by-step explanation:

Arranging the data in increasing order

10, 15, 19, 46, 72, 72

Mean

10 + 15 + 19 + 46 + 72 + 72 / 625 + 65 + 144 / 6234/639

Median

In a set with even number of data points, the median is the mean of the middle 2 terms19 + 46 / 265/232.5

Range

Difference between highest data point and lowest data point72 - 1062

Answer:

Mean: 39

Median: 32.5

Range: 62

The graph below depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

Answers

Given : population mean (N) = 100
population stal dov ( 6) = 15
formula : x = pt ( Z * 6 )
P ( 2 7 ? ) = 0'65
Refer to standard normal table lZ table
looking up for Z-score corresponding to
area
0 65 to the right of
the
normal
curve to find the I-score
P LZ > - D : 39 ) = 6.65
2 = - 0:39
DX = 100 + ( - 0 39 x 16 )
= loot - 5:65
2 94:15
Rounded to one decimal place
X = 94 . 2

HGELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

15 inches

Step-by-step explanation:

The formula for the area of  the area of a triangle is bxh/2.

The base is 6 inches, and the height is 5 inches. 6x5=30. 30/2=15.

Would appreciate if you marked my answer as brainliest, have a good day :)

A spinner is divided into 15 identical sectors and labeled 1 through 15. How many spins are expected for a multiple of 4 to be spun 30 times? Select from the drop-down menu to correctly complete the sentence. The spinner is expected to have to spin approximately Choose... times for a multiple of 4 to be spun 30 times.

Answers

Answer:

The answer you are looking for is 35. May I have brainliest?

Step-by-step explanation: K12 Quiz

Answer:

150

Step-by-step explanation: because you divide it


Given that y = 6 + 4x-x^2express y in the form a.-(x + b)^2, where a and b are
integers. Hence or otherwise , write the coordinates of the turning point of y

Answers

Answer:

6 + 4x − x² = 10 − (x − 2)²

the turning point : (2 , 10)

Step-by-step explanation:

6 + 4x − x² =  − x² + 4x + 6

                 = − (x² − 4x) + 6

                 = − (x² − 4x + 4 − 4) + 6

                 = − [(x − 2)² − 4] + 6

                 = − (x − 2)² + 4 + 6

                 = − (x − 2)² + 10

                 = 10 − (x − 2)²

Then the turning point of y is (2 , 10)

Write a recursive formula for the sequence 4, 0, -4, -8, -12, .... Then find the next term.

Answers

Answer:

[tex]U_{n+1}=U_{n}-4[/tex]

Next term = -16

Step-by-step explanation:

[tex]\text{let} \ \left( U_{n}\right) \text{be the sequence which we are looking for}[/tex]

0-4 = -4

(-4)-0 = -4

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

(-12)-(-8) = -4

It’s clear that Un is an arithmetic sequence of common difference r = -4

Then

[tex]U_{n+1}=U_{n}-4[/tex]

Next term :

[tex]U_{6}=U_{5}-4 = -12-4=-16[/tex]

WILL GIVE BRAINLIST

What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with 8f(x)?
A) shifts the line 8 units up
B) shifts the line 8 units down
C) increases the slope of the line by a factor of 8
D) decreases the slope of the line by a factor of 8

Answers

Answer:

option: C is correct.

Step-by-step explanation:

since, we are given a parent function f(x) as: f(x)=x.

We are asked to find what  change will occur in the function when the parent function f(x) is replaced by f(9x).

let g(x) be the function formed by replacing f(x) with f(9x) i.e.

g(x)=f(9x)=9x.

clearly the slope of the function g(x)=f(9x) is 9.  ( since on comparing the equation with the slope intercept form y=mx+c; where m is the slope of the line and c is the y- intercept).

whereas the slope of the function f(x)=x is 1.

Hence there is an increment of slope by a factor of 9.

Hence, option C is correct.

Which best describes the range of the function f(x) = Two-thirds(6)x after it has been reflected over the x-axis?

Answers

Answer:

Range: ( − ∞ , ∞ ) , { y | y ∈ R }

Step-by-step explanation:

Slope: 4

y-intercept: (0,0)

 X          Y

 0          0

  1          4

Answer:

all real number

Step-by-step explanation:

what is the answer to 284 times 45 to the power of 3

Answers

Hey there!

284 * 45^3

= 284 * 45 * 45 * 45

= 284 * 2,025 * 45

= 284 * 91,125

= 25,879,500


Therefore, your answer is:

25,879,500



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

⚠ In a bag, there are 5 yellow marbles and 3 green marbles.
A marble is randomly selected from the bag and it turns out to be yellow.
The marble is not put back into the bag. Which of the following events are affected by this? Select all correct options.

-The chance of selecting a blue marble next time.
-The chance of selecting a yellow marble next time.
-The chance of selecting a green marble next time.
-The chance of selecting a black marble next time.

Answers

The chance of selecting a yellow marble is decreasing and the chance of selecting a green marble is increasing

A window is in the shape of a kite. caleb wants to apply a layer of plastic film on the top half of the window so that the glass appears crackled. what are the dimensions of the layer of film he will apply? a kite is broken into 2 triangles. each triangle has a base of 18 inches and a height of 7 inches. 9 inches in width and 7 inches in height 9 inches in width and 14 inches in height 18 inches in width and 7 inches in height 18 inches in width and 14 inches in height

Answers

The dimensions of the layer of film he will apply to the window is 18 inches in width and 7 inches in height.

What are the dimensions of the layer of film?

A kite is a four sided shape that can be divided into two pairs of equal-length sides that are adjacent to each other.

The dimensions of the upper part:

Width = 18 inches Length = 14 inches / 2 = 7 inches

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Help me with this took an hour already

Answers

Answer:

the answer is 60

Step-by-step explanation:

64 rounded. is 60

Answer: 60 is the mean

Step-by-step explanation: 64 + 60 + 59 + 60 + 58 + 56 + 64 + 57 + 63 is 541, divide that by 9 is 60.1111111111, nearest whole number is 60

Help me pls with. Math it's very important

Answers

Answer:

L = (x), W = (5x−4), H = (2x+1)

Step-by-step explanation:

Factor.

10x^3-3x^2-4x

(x)(5x−4)(2x+1)

One of the advantages to an employer of paying employees piece rate or commission is that the employee is paid based solely on their performance. What is one disadvantage of this type of pay? ​

Answers

Increase in greedyness and lazyness ,less attraction towards working.

See

The employee gets commision for each sale

Suppose he gets $2 commission per sale.

If he sales 7 then he get $14 but for no sale he gets nothing so it's luck dependant.

The discussion is shown below:

What is commission?

A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services.

When an employee is paid on a commission basis or on a piece rate basis, their job efficiency goes up, which also boosts productivity in the workplace.

But one of the drawbacks of this type of payment for the employee is that he won't be able to earn anything if he doesn't work up to the specified objective or if he doesn't work at all.

There are therefore equally as many benefits and drawbacks for each kind of payment.

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Please Help !! I Will GIVE BRAINLIEST What is the slope of the line !

Answers

Step-by-step explanation:

Looking closely,

when x1=0, y1= 3

Also, when x2= 3, y2= 1

The slope therefore is,

(y2-y1)/(x2-x1)

= 1-3/2-0

= -2/2

Slope = -1

What are the zeros of this function?

Answers

Answer:

B

Step-by-step explanation:

On the graph, you can see that when y=0, x is on 5 and 6.

Which of the following is equivalent to
( g + h ) ( p + q − r ) ? g p + g q − g r + h p + h q − h r g p + g q + g r + h p + h q + h r g p + h q − r

Answers

Answer:

g p + g q − g r + h p + h q − h r

Step-by-step explanation:

This is the correct simplified form of ( g + h ) ( p + q − r )

Hope this helped!

Answer:

gp + gq - gr + hp + hq - hr

Step-by-step explanation:

Expression:

(g + h)(p + q − r)

Choices:

gp + gq − gr + hp + hq − hr

gp + gq + gr + hp + hq + hr

gp + hq − r

Solution:

Multiply each term of g + h by each term of p + q - r.

You get:

gp + gq - gr + hp + hq - hr

help me pleaseeeeeeeee

Answers

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.  The value of x is 10.

What is a rectangle?

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

The angle of a rectangle is always 90°, Also, the sum of the ∠CFD and ∠DFE is ∠CFE which is an angle of the rectangle CDEF. Therefore, we can write,

∠CFD + ∠DFE = 90°

6x + 3x = 90°

9x = 90°

x = 10

Hence, the value of x is 10.

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I'm kinda terrible at math and I'm running out of time to complete this you might think its easy but its no for me.

Answers

Answer:

my best guess is 17.45

Step-by-step explanation:

PLS HELPPP MEEE!!
The graph of y = x2 - 4 is shown below



What are the roots?





A.
x = 0 and x = -4

B.
x = 4 and x = 2

C.
x = -4 and x = 4

D.
x = -2 and x = 2

Answers

The answer is D. The roots are just where the line crosses the y axis.

HELP ME OUT PLS MY WIFI ISN'T STRONG!! AND I NEED TO FINISH MY TEST IN 1 MIN!!!


Which comparison is not correct?


6 > 5

-7 > -9

-4 < -12

-3 < 4

Answers

Answer:

-4<-12

Step-by-step explanation:

can someone help with all 4 questions and show work on how to do all of them please

Answers

[tex]\\ \rm\Rrightarrow |1/3(2^3-10^2/5)|=|1/3(8-20)|=|1/3(-12)|=4[/tex]

[tex]\\ \rm\Rrightarrow |-(1/6)^3|=(1/6)^3=1/216[/tex]

[tex]\\ \rm\Rrightarrow |6^3-7^3|=|216-343|=127[/tex]

[tex]\\ \rm\Rrightarrow |9^2+(-9)^3|=|81-729|=648[/tex]

Answer:

8)  1/216

13)  127

14)  648

15)  4

Step-by-step explanation:

Question 8

[tex]\large \begin{aligned}\displaystyle \left|-\left(\frac{1}{6}\right)^3\right| & = \left|-\left(\frac{1^3}{6^3}\right)\right|\\\\& = \left|-\frac{1}{216}\right|\\\\& = \frac{1}{216}\end{aligned}[/tex]

Question 13

[tex]\large \begin{aligned}\displaystyle \left|6^3-7^3\right| & = \left|216-343\\ & = \left|-127\right|\\ & = 127\end{aligned}[/tex]

Question 14

[tex]\large \begin{aligned}\displaystyle \left|9^2+(-9)^3\right| & = \left|81+(-729)\right|\\& = \left|81-729\right|\\& = \left|-648\right|\\& = 648\end{aligned}[/tex]

Question 15

[tex]\large \begin{aligned}\displaystyle \left|\frac{1}{3}\left(2^3-\frac{10^2}{5}\right)\right| & = \left|\frac{1}{3}\left(8-\frac{100}{5}\right)\right|\\\\& = \left|\frac{1}{3}\left(8-20\right)\right|\\\\& = \left|\frac{1}{3}\left(-12\right)\right|\\\\& = \left|\frac{-12}{3}\right|\\\\& = \left|-4\right|\\\\& = 4\\\end{aligned}[/tex]

Every day Jack runs 3 km a) Find out how far he runs in 4 weeks​

Answers

Answer:

84 km

Step-by-step explanation:

you times 7 by 4 and get 28 then you times 3 by 28 and get 84 km

[tex] \huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red} Question}}}} [/tex]

[tex] \mathfrak \orange{ Refer \: To \: Attachment}[/tex]

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's find out the gradient (Slope " m ") of line q ;

[tex]\qquad \sf  \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]\qquad \sf  \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}[/tex]

[tex]\qquad \sf  \dashrightarrow \:m = - 4[/tex]

Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

[tex]\qquad \sf  \dashrightarrow \:y - 4 = m(x - 0)[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = mx + 4[/tex]

Now, plug in the value of gradient ~

[tex]\qquad \sf  \dashrightarrow \:y = - 4x + 4[/tex]

here we can clearly observe that, the Area under the curve can easily be represented as :

[tex]\qquad \sf  \dashrightarrow \:y < - 4x + 4[/tex]

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

Write an expression for each phrase. 1. Jose had 3 more hits today than in yesterday’s game.

Answers

Let yesterday he had h hits

Today he has 3 more hits

So

The expression is

3+h

or

h+3

A lady bug walked the shortest distance on the coordinate plane from point A(-1,-16) to point B(12, 10). Find the x-coordinate of the point where the ladybug intersected the x-axis

Answers

(a) The shorted distance between point A and point B is 29.1.

(b) The x-coordinate of the point where the ladybug intersected the x-axis is (-1, 12).

Shortest distance between point A and point B

The shorted distance between point A and point B is straight line, which is calculated as follows;

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2} \\\\d = \sqrt{(12--1)^2+ (10--16)^2} \\\\d = 29.1 \ unit[/tex]

x-coordinate of the points

The x-coordinate of the point where the ladybug intersected the x-axis is determined as;

(Ax, Ay), (Bx, By)

= (Ax, Bx)

= (-1, 12)

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Grace, Ted, and Keisha are siblings. Each took a turn using the computer today. The matrix equation that represents this situation is shown, where g is the number of minutes Grace was on the computer, t is the number of minutes Ted was on the computer, and k is the number of minutes Keisha was on the computer.



Which statement is true?

A.
Keisha spent the least amount of time on the computer.
B.
Ted spent the least amount of time on the computer.
C.
All three spent the same amount of time on the computer.
D.
Grace spent the least amount of time on the computer.

Answers

Answer:

C. Ted spent the least amount of time on the computer.

Step-by-step explanation:

plato

Answer:

Ted spent the least amount of time on the computer.

Step-by-step explanation:

Correct on plato.

Armin needs a new suit. He
has a 25% off coupon that
will be applied before a tax
of 7.5% is applied to his
total. How much will he end
up paying for a $325 suit?
Round to the nearest
hundredth.

Answers

Answer:

262.03

Step-by-step explanation:

take 325 multiply by 25% will give you 81.25 deduct

325 by 81.25

multiply 243.75 by 7.5% which gives 18.28 add that to

243.75 giving you 262.03 he paid for

Andrew chooses three different numbers.
- Exactly one of the numbers is a square number.
The other two numbers are factors of 18.
The sum of the three numbers is 36.
d the three numbers chosen by Andrew.
ite the numbers in ascending order.

Answers

[tex]\huge\color{red}\underline \colorbox{yellow} {\color{gold}{scroll}}[/tex][tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]

Answer:

2, 16, 18.

Step-by-step explanation:

The first number might be 4 , 9, 16 or 25.

The other 2 numbers are factors of 18 so could be:

2, 3, 6, 9 or 18.

If square no. = 4 then sum of other 2 = 32 but no 2 numbers will fit the required result.

If it is 9, the sum = 27 then 9 and 18 will fit but that makes 2 square numbers  so this is not the answer.

If square no. = 16, the sum of other 2 is 20. 2 and 18 will fit this.






[tex] \textbf{Can someone help me with this question ?} [/tex]

[tex] \texttt{Note : you have to use vector method,} [/tex] [tex] \texttt{no use determinants, or Area of Triangle = 0} [/tex]

[tex] \textsf{If points with given position vectors are} [/tex] [tex] \textsf{collinear then find the value of " a "} [/tex]

[tex] \qquad \sf{\vec{A} = 60 \hat{i} + 3\hat{j} } [/tex]

[tex] \qquad \sf{\vec{B} = 40 \hat{i} - 8\hat{j} } [/tex]

[tex] \qquad \sf{\vec{C} = a\hat{i} - 52\hat{j} } [/tex]

Answers

Answer:

here we go dude sorry for dirty handwriting

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