A half circle is joined to an equilateral triangle with side lengths of 12 units.

What is the perimeter of the resulting shape? Type your answer in the box below.

Answers

Answer 1

Answer:

P = 12 pi units + 24 units.

Step-by-step explanation:

All sides of an equilateral triangle are of the same length.  Here that length is 12 units.  We take a circle of diameter 12 units and cut it in half through its center.  Finally, we join the triangle (remembering that all of the side lengths are 12 units) to the half circle of diameter 12 units.

The half circle portion of the resulting shape has circumference 2(pi)(12 units) divided by 2, or 12 pi units.  This is half the formula C = 2(pi)(r).  The two non-attached sides of the triangle have a total length of 24 units.

Thus, the perimeter of the resulting figure is P = 12 pi units + 24 units.


Related Questions

Which equation matches the given points? (0, 7.6), (1, 6.2), (2, 4.8), (3, 3.4), (4,2)

Answers

The equation that matches the given points is g(x) = -1.4x + 7.6

The standard form of a linear  equation is expressed as [tex]g(x)=mx + b[/tex]

m is the slope of the lineb is the y-intercept:

Using the coordinate points (3, 3.4), (4,2)

[tex]m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4[/tex]

Substitute m = -1.4 and the coordinate (4, 2) into the formula:

[tex]2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6[/tex]

Get the required equation:

[tex]g(x)=mx+b\\g(x)=-1.4x+7.6[/tex]

Hence the equation that matches the given points is g(x) = -1.4x + 7.6

Learn more on equation of a line here; https://brainly.com/question/9351428

(-r-5)-(-2r-4) help me solve pls lol

Answers

answer:

[tex]r - 1[/tex]

Step by step explanation:

Step 1: Distribute

[tex]( - r - 5) - ( - 2r - 4) \\ ( - r - 5) + 2r + 4[/tex]

Step 2: Eliminate redundant parenthesis

[tex]( - r - 5) + 2r + 4 \\ - r - 5 + 2r + 4[/tex]

Step 3: Add numbers

[tex] - 3 \purple{ - 5} + 2r + \purple{4} \\ - r \purple{ - 1} + 2r[/tex]

Step 4:Combine like terms

[tex] \purple{ - r } - 1 + \purple{2r} \\ \purple{1r} - 1[/tex]

Step 5:Multiply by 1

[tex]1r - 1 \\ r - 1[/tex]

Hopefully it's help

I copy MissJoy2 answer cuz her/his answer is right

EASY 25 POINTS

If you get in incorrect I will not mark you brainliest.

Answers

Answer:

whats the question bro

Step-by-step explanation:

Answer:

whats the question mate?

Step-by-step explanation:

Find and b. A 110 B 40° с D ​

Answers

Answer:

a: 70 degrees, b: 140 degrees

Step-by-step explanation:

Each of the sets of angles must add up to 180 degrees.

180 - 110 = 70

180 - 40 = 140

Q6 (i) please i don’t know what i’m doing wrong

Answers

Start by squaring the numbers on both sides to get rid of the square root on both the left and right sides to get:

x + 5 = 5^2 – x

x + 5 = 25 – x

Then rearrange to make x the subject.

x + 5 = 25 – x

2x + 5 = 25

2x = 20

x = 10

Answer:

x = 4

Step-by-step explanation:

Square both sides

x+5 = 25-10sqrt(x)+x

20 = 10sqrt(x)

sqrt(x) = 2

Square both sides again

x=4

Verify sol

x = 4

How do we get 144 here?

Answers

Answer:

the correct answer is supposed to be 120, your almost there :)

Step-by-step explanation:

Evaluate and simplify without a calculator:

−35+23
Pleasee helpp

Answers

Answer:

The answer would be -12, I'm not to sure what simplify means

When adding integers that have different signs you have to subtract and the solution will have the sign of the bigger number

-35 + 23 = -12

Can someone please answer it, please no bots answer it and a real person I will give you brainliest.

Answers

Answer:

1. 1y + 13.5x

2.12x + 40y

Sam's car = 202.5 ft

Alice's car = 184 ft

Step-by-step explanation:

Molly has biweekly gross earnings of $839. 52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim? a. 1 b. 2 c. 3 d. 4.

Answers

Molly currently claims 2 withholding allowances which can be determined by using rules of allowance.

Given that,

Molly has biweekly gross earnings of $839. 52.

By claiming 1 more withholding allowance,

Molly would have $16 more in her take-home pay.

We have to determine,

How many withholding allowances does Molly currently claim?

According to the question,

Molly has biweekly gross earnings of $839. 52.

By claiming 1 more withholding allowance,

Molly would have $16 more in her take-home pay.

The withholding allowance is used by a person to pay less amount of tax on his or her income to the government.

Molly has biweekly gross earnings of $839. 52.

By claiming 1 more withholding allowance,

Molly would have $16 more in her take-home pay.

Therefore,

It is given that Molly has taken 1 more withholding allowance to pay tax less by the amount of $16.

So he must have possessed at least 1 allowance previously and added 1 more.

So, the minimum number of allowance possessed by Molly = 2

Hence, Molly currently claims 2 withholding allowances.

For more details about Income Tax refer to the link given below.

https://brainly.com/question/1708567

8. If APTS – APQR, find the value of x.
5x + 13
T
36
Q
P
30
6x-2
-
S
R

Answers

Answer:

x = 7

Step-by-step explanation:

you can create a proportion:

PT / ST =  PQ / RQ

36 / 30 = (5x+13) / (6x-2)

cross-multiply:

36(6x-2) = 30(5x+13)

distribute:

216x - 72 = 150x + 390

216x = 150x + 462

66x = 462

x = 7

The value of x for the given triangle sides is x = 7.

What is geometry?

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.

Given that the side PQ = 5x + 13 and the QR is 6x- 2. The value of x will be calculated by the concept of similarity.

PT / ST =  PQ / RQ

36 / 30 = (5x+13) / (6x-2)

Cross-multiply the equations,

36(6x-2) = 30(5x+13)

Distribute:

216x - 72 = 150x + 390

216x = 150x + 462

66x = 462

x = 7

To know more about geometry follow

https://brainly.com/question/28832881

#SPJ2

There 7 ducklings .they sleep in 1 large nest .write and solve an equation that shows how many ducklings sleep in the nest

Answers

Answer:

7 ÷ 1 = 7

Step-by-step explanation:

Answer:

I think

Step-by-step explanation:

I think you are subtracting

Find the equation of the axis of symmetry
for this function.
f(x) = 8x2 + 6x + 19

X=?

Answers

There is no answer for axis of symmetry
But I have the answer for (x-intercept) X= -4/5 (y-intercept) F(0)=16

Which number is an integer? Negative three-fourths 0 2. 3 Pi.

Answers

The number that is an integer is 0.

An integer is a number that does not have fractions or decimals. Examples of integers are 50, - 1. A fraction is a number that is made up of numerators and denominators. An example is 3/4. A decimal is made up of tenths, hundredths and thousandths. An example is 2.3.

Negative three-fourths is not an integer because it is a fraction. 2.3 and pi  is not an integer because it is a decimal.

A similar question was answered here: https://brainly.com/question/15984496

Classify the following triangle as acute, obtuse, or right.

Answers

D. None of these.

Equilateral is the only triangle that has all the sides that are equal to each other. Hope this helped you :)

Option D . None of these is the correct answer.

Help me please this is due in 3 hour's​

Answers

485, because the mean means you need to calculate the average. to find the average, you take the smallest number from the data set and the largest number. add the largest number by the smallest number and divide by the set of numbers you added (2). Example: (720+250=970 divided by 2 =485)

F(x) = 3x2+ 6x - 18 find f (10)

Answers

Answer:

f(10) = 342

Step-by-step explanation:

f(x) = 3x² + 6x - 18

f(10 = 3(10)² + 6(10) - 18

f(10) = 3(100) + 60 - 18

f(10) = 300 + 60 - 18

f(10) = 360 - 18

f(10) = 342

Can you help me please ?

Answers

Answer:

A

Step-by-step explanation:

rise⇵ over run ⇄

the rise is -6 the run is 3

Solve for HL hypotenuse leg theorem
-GEOMETRY

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The Additional information needed to prove the Triangles congruent by HL criteria is ~ D

[tex] \sf ST \cong SE \: \: or \: \: US \cong FS[/tex]

Answer:   Choice D

ST = SE or US = FS

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

Explanation:

As you mentioned, HL stands for hypotenuse leg. The sides EF and UT marked with triple tickmarks are congruent, and they are the congruent hypotenuses. That takes care of the "H" part of "HL". So we can cross off choice C because it mentions TU = EF, which is already taken care of.

The "L" part can involve either leg of the triangles. So we could involve the legs ST and SE (they appear to be the shorter legs), or we could involve the longer legs US and FS. We only need to pick one of those options to handle the "L" portion. If we knew all three aspects, then we could easily refer to the SSS (side side side) congruence theorem.

The HL theorem only applies to right triangles.

what is 57/100- 3/10

Answers

Answer:

27/100

Step-by-step explanation:

make 3/10 into an equivalent fraction with a denominator of 100

therefore, multiply both 3 and 10 by 10 to get:  30/100

57/100 - 30/100 = 27/100

Answer:27/100 Step-by-step explanation:57/100 - 3/10=> 57/100 - 30/100=> 27/100Therefore, 27/100 is your answer.Conclusion:

Hoped this helped

[tex]BrainiacUser1357[/tex]

Need help doing this

Answers

Answer:

huh I'm confused I dont know

Use <, >, or = to make the
statement true.
20[?]-1

Answers

Answer:

20 > -1

Step-by-step explanation:

Well 20 is a positive integer that is 20 units from 0 whereas -1 is a negative integer that is 1 unit behind zero.

4 out of the 10 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?

Write your answer using a percent sign (%).

Answers

Answer:

40%

Step-by-step explanation:

Well, if 4/10 work part time, 4/10 converted to percentages is 40%.

HURRRRRYYYYYYYY. I HAVE 5 MINUTES ​

Answers

Answer:

x = - 9/10

workings

2/3 x = - 3/5

multiply by 3/2 on both sides

x = - 9/10

Answer:

2/3x=-3/5

x=-3/5*3/2

x=-8/10

6.True or False.
A numeral, such as 22 is called a constant.

Answers

Answer:

True

Step-by-step explanation:

The term with no variable attached to it is the constant

Answer:

te voy a devolver el susto me diste 9 veces peor

Step-by-step explanation:

BRAINLIEST 87x89 PLEASE

Answers

Answer:

7743 caught you again lolllll

=7743

Hope you find this helpful!
Brainliest and a like is much appreciated!

3480 divided by 29 what is the answer that its asked

Answers

120 is the correct answer to your equation have an nice day

Answer:

120

Step-by-step explanation:

To be honest I just looked it up.

9 unit percent change is 23, what is the 19th unit percent cahnge?

Answers

Answer:

42.40705%

Step-by-step explanation:

(1 - (23/100)^(19/9) = 1 + r/100

0.57593 = 1 + r/100

r = 42.40705%

can someone help me :

Answers

Answer:

A: yes

B: yes

C: no

D: no

E: no

Hope This Helps!!!

Answer:

s = -2

s = -8

Step-by-step explanation:

negative numbers get smaller and smaller the farther they are from zero

Combine the like terms to create an equivalent expression.
\large 9p+3p

Answers

Step-by-step explanation:

there is not much here.

all I can see is

9p + 3p

and that is 12p (as 9+3 = 12)

Select the correct answer.
Which expression is equivalent to the difference shown?
5/m - m+8/ m^2-4m

Answers

The expression 5/m - (m+8)/(m^2-4m) is equivalent to 4(m-7)/m(m-4) option (C) is correct.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have a expression:

[tex]=\rm \frac{5}{m} - \frac{m+8}{m^2-4m}[/tex]

To simplified the above expression take the LCM  [tex]\rm m^2-4m[/tex]

[tex]=\rm \frac{5(m-4)-(m+8)}{m^2-4m}[/tex]

[tex]=\rm \frac{5m-20-m-8}{m^2-4m}[/tex]

[tex]=\rm \frac{4m-28}{m^2-4m}[/tex]

[tex]=\rm \frac{4(m-7)}{m(m-4)}[/tex]

Thus, the expression 5/m - (m+8)/(m^2-4m) is equivalent to 4(m-7)/m(m-4) option (C) is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

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