A half circle is joined to an equilateral triangle with side lengths of 12 units.Select all the expressions that correctly calculate the perimeter of the shape.

Answers

Answer 1

The perimeter of the figure described in the question is 42.84cm

How to get the perimeter of the figure?

The figure is defined by a half circle is joined to an equilateral triangle with side lengths of 12 units.

So the perimeter of the figure will be equal to half of the circumference of the triangle plus the length of the two exposed sides of the triangle.

The diameter of the circle will also be 12 units, remember that the circumference of a circle of diameter D is:

C = 3.14*D

In this case, the circumference of half circle is:

C = 3.14*D/2

Replacing the value of the diameter:

C = 3.14*12cm/2 = 18.84cm

Adding the two sides of the triangle we get the perimeter.

P = 18.84cm + 2*12cm = 42.84cm

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Related Questions

Could someone help me out? I don't get it

Answers

I first went to the factored form of the zeroes which is (x-2)(x+1)(x+5), then i did the FOIL (first inner outer last) strategy. (If the factored form wasn’t listed, you could find it through changing the sign)

(x-2)(x+1)(x+5)
(x^2-x-2)(x+5)
x^3-x^2-2x+5x^2+5x-10

So after simplifying this, you are left with

A.) x^3+4x^2-7x-10

Hope this helps!

HELP RN
WHAT do we do to solve equations? W- H- A- T-

Answers

Answer:

Pemdas?

Step-by-step explanation:

Parantheses

Exponents

Multiplication

Division

Addition

Subtraction.

Answer:

Uhm…

Step-by-step explanation:

You either add, divide, multiply, or divide

Das is how we solve equations

Find the measure of LK:


Lk=____

Answers

Using the secant-secant theorem,

[tex](4)(6)=(3)(2x+8) \\ \\ 24=3(2x+8) \\ \\ 8=2x+8 \\ \\ 2x=0 \\ \\ x=0 \\ \\ \implies LK=2(0)+5=\boxed{5}[/tex]

I need help with this please help me

Answers

Answer: 67.38

Step-by-step explanation:

Assuming that [tex]\triangle ACD \cong \triangle BCD[/tex], [tex]m\angle BCD=\frac{134.76^{\circ}}{2}=67.38^{\circ}[/tex] by CPCTC.

A video streaming company offers two monthly plans. Plan A charges $3 per video viewed plus a flat rate of $8 per month. Plant B charges $5 per video viewed and no additional flat rate.
A write and solve an inequality to determine when the cost of viewing n videos using plan A is less that the cost of viewing n video using plan B _________________


Plan A is less expensive when ____________________


PLEAE GIVE SIMPLE ANSWER WHAT GOES IN THE PLAN B LINE AND WHAT GOES IN THE PLAN A LINE.

Answers

Answer:

Plan B: 5n > 8

Plan A: 3n + 8 < 5n

the point {-2,1} is on the line given by which equation below

Answers

the answer is prolly not B

PLS HELP IF I GET AN 80 OR HIGHER I GET A DOG!! ILL GIVe BRAINLIEST

Answers

Answer:

-14

Step-by-step explanation:

x = 98

x = -7x

98/-7 = -14

x = -14

If it is correct, can you please give me a brainliest? Thank you!

Suppose that for each foot of land along a street, the
annual tax is $12 per foot. The diagram below shows a
plot of land.
800
46 ft
28 At
A
Street
Approximately, how much is the annual tax for the plot?

Answers

The annual tax for the plot based on the triangle and the side lengths is $1488

How to determine how much is the annual tax for the plot?

From the question, we have the following parameters that can be used in our computation:

Annual tax per foot = $12

Shape of the land = Triangle

Parameters of the triangle are represented as

Angle between sides = 80 degrees

Sides = 46 ft and 28 ft

The side represented as "Street" is calculated as

Street = The square root of Sum of the squares of the other sides - 2 * the product of the other sides * the cosine of the angle between them

Mathematically, this is represented as

Street = √46² + 28² - 2 * 46 * 28 * cos(80)

Evaluate

Street = 50

So, the perimeter of the land is

Perimeter = 50 + 46 + 28

Perimeter = 124 foot

Recall that:

Annual tax per foot = $12

So, we have

Yearly annual tax per foot = $12 * 124

Evaluate

Yearly annual tax per foot = $1488

Hence, the yearly annual tax per foot = $1488

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Please help me ASAP I’ll mark your answer brainly

Answers

75 is the answer because 25+50=75

Divide.
(32 x³ z² - 16 x⁷ z⁵ - 20 x⁷ z⁷) ÷ (4x⁵ z⁴)
Simplify your answer as much as possible.

Answers

This is the simple form of the given equation [tex]\frac{(-4x^4z^3 - 5x^4z^5 + 8) }{(x^2z^2)}[/tex]

What is the polynomial equation?

An algebraic equation, also known as a polynomial equation, in mathematics, is a formula of the form P=0, where P is a polynomial with coefficients in some field, typically the field of the rational numbers.

We have,

(32 x³ z² - 16 x⁷ z⁵ - 20 x⁷ z⁷) ÷ (4x⁵ z⁴)

(32 x³z² - 16 x⁷z⁵ - 20 x⁷z⁷) * 1/(4x⁵z⁴)

[tex]\frac{(32 x^3z^2 - 16 x^7z^5 - 20x^7z^7) }{(4x^5z^4)}[/tex]

[tex]=\frac{(-4x^4z^3 - 5x^4z^5 + 8) }{(x^2z^2)}[/tex]

Hence, this is the simple form of the given equation [tex]\frac{(-4x^4z^3 - 5x^4z^5 + 8) }{(x^2z^2)}[/tex]

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Is the function represented by the table nonlinear

Answers

No, because it has a constant rate of change

If f(1)=7, f(5)=-3, f(11)=-9, g(7)=11, g(-3)=6 and g(-9)=1, then find f(g(7))

Answers

The value of the given composite function f(g(7)) will be -9 for the given data.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

f(1)=7

Take the g function on both sides

g(f(1)) = g(7)

Since, g(7) = 11

Thus, Take f function on both sides,

f(g(7)) = f(11)

Since,f(11)=-9

Thus,f(g(7)) = -9

Hence "The value of composite function f(g(7)) is -9".

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Pure gold has a density of 19.32 g/cm³. If a cylindrical piece of pure gold had a mass of 1699.48 g, and a radius
of 2 cm, what is the height of the piece?

Answers

The height of the cylindrical piece of pure gold with density and mass of 19.32 g/cm³ and 1699.48g, having a radius of 2cm is 7cm.

What is the height of the piece of the cylindrical gold?

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Also, density is expressed mathematically as;

p = m / v

Given that;

Density of pure gold p = 19.32 g/cm³Mass of the gold cylinder = 1699.48 gRadius of the cylinder r = 2cmVolume of the cylinder V = ?Height of the cylinder h = ?

First, we determine the volume of the cylinder.

Density = Mass / Volume

Volume = Mass / Density

Volume = 1699.48g / 19.32g/cm³

Volume = 87.9648 cm³

Next, we determine the height.

V = π × r² × h

87.9648 = 3.14 × (2)² × h

87.9648 = 3.14 × 4 × h

87.9648 = 12.56 × h

h = 87.9648 / 12.56

h = 7cm

Therefore, the height of the cylinder is 7cm.

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Josh lives 1 4/5 mile from the park. So far he walked 2/3 of the distance from his house to the park. How many miles has josh walked

Answers

Answer:

2 7/15 miles

Step-by-step explanation:

1 4/5 = 1 + 4/5 = 5/5 + 4/5 = (5+4)/5 = 9/5

Then:

1 4/5 + 2/3 = 9/5 + 2/3

9/5 = 27/15

2/3 = 10/15

Then:

9/5 + 2/3 = 27/15 + 10/15 = (27+10)/15

= 37/15

37/15 = 30/15 + 7/15 = 2 + 7/15

= 2 7/15

2. The larger of two numbers is 3 less than twice the smaller number. If their sum is 27, find each number?

Answers

The numbers represented by the statement are 17 and 10

How to determine the numbers

Represent the larger number with x and the smaller number with y

So, we have the following representation from the question

x = 2y - 3

x + y = 27

Substitute x = 2y - 3 in the equation x + y = 27

So, we have the following representation

2y - 3 + y = 27

Evaluate the like terms

3y = 30

Divide both sides by 3

y = 10

Recall that

x = 2y - 3

So, we have

x = 2 * 10 - 3

Evaluate

x = 17

Hence, the numbers are 17 and 10

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Apex Motors manufactures luxury cars and sport-utility vehicles. The most likely customers are high-income men and women, and company managers want to initiate an advertising campaign targeting these groups. They plan to run 1-minute spots on business/investment programs, where they can reach 7 million women and 4 million men from their target groups. They also plan 1-minute spots during sporting events, where they can reach 2 million women and 12 million men from their target groups. Apex feels that the ads must reach at least 37 million women and at least 32 million men who are prospective customers. (a) Write the inequalities that describe the constraints on the number of each type of 1-minute spots needed to reach these target groups. (Let x represent minutes of business/investment program ads, and let y represent minutes of sporting events ads.)

Answers

The constraints that describe the system of inequalities in this problem are given as follows:

7x + 2y ≥ 37.4x + 12y ≥ 32.

How to obtain the constraints?

The first step toward obtaining the constraints is defining the variables, as follows:

Variable x: minutes of business/investment program ads.Variable y: minutes of sporting events ads.

Apex feels that the ads must reach at least 37 million women, hence, for the amounts of each event, the constraint is given as follows:

7x + 2y ≥ 37.

They also want to reach at least 32 million men, hence the constraint is given as follows:

4x + 12y ≥ 32.

The reaches are already given in millions of people, hence the millions don't need to be inserted into the equations.

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A local charity sells a total of 460 tickets to a golf tournament fundraiser. A member ticket costs $50. A non-member ticket costs $65. How many non-member tickets were sold if the total ticket sales are $24,065?
A4
B 65 C 71 D 389

Answers

Answer:

C (71)

Step-by-step explanation:

Hi there! I am very happy to answer your question!

[tex]65x+23000-50x=24065[/tex]

[tex]15x+23000=24065[/tex]

[tex]15x=24065-23000[/tex]

[tex]15x=1065\\[/tex]

[tex]x=\frac{1065}{15}[/tex]

[tex]x=71[/tex]

A humpback whale is 6,300meters from Billet Bay. If it swims at a constant velocity of 210 meters per minute toward the bay, how much time will it take the whale to get one-third of the way to Billet Bay?

Write your answer as a whole number.
ASAP PLease

Answers

Answer: 10 minutes

Step-by-step explanation:

6,300*1/3=2,100

2,100=210x

2,100/210=10

x=10 minutes

What is the y-intercept of the graph that has a slope of 2 and goes through the point (3, 4)?

Answers

Answer:-2

Step-by-step explanation:

Step 1: Write this in slope-intercept form

y=mx+b

Step 2: Plug in the known values

m is the slope, x is the given x value, and y is the given y value

4=2(3)+b

Step 3: Solve for the y-intercept

the y-intercept is b, so all we need to do is solve for b

4=6+b

subtract 6 from both sides so that y is isolated

Answer: b=-2

The y-intercept is -2

write the equation Y=1/9 x +5 in standard form

Answers

Answer:

x - 9y = -45

Step-by-step explanation:

y = 1/9 x + 5  Multiply all the way through by 9 to clear the fraction

9y = x + 45   -9y from  both sides

0 = x - 9y + 45  Subtract 45 from both sides

-45 = x  - 9y  You can rewrite

x - 9y = --45

A community swimming pool is 8 yards 4.79 feet wide. How wide is the pool in meters and centimeters?

Conversion ratios:

1 m = 1.09 yd
1 ft = 0.3048 m
1 m = 100 cm
Round the centimeters to the nearest hundredth.

You must show all your work to earn full credit.

Answers

Answer:

8 yd = 7.2192 m

4.79 ft = 1.4499 m

7.2192 m + 1.4499 m = 8.6691 m

8.6691 m x 100 cm = 866.91 cm

Please help me asap!

Answers

The value of the functions defined in the piecewise function f(1) - f(-7) is 4

How to evaluate the piecewise function?

From the question, we have the following piecewise function that can be used in our computation:

f(x) = | x + 8| - 9         if x ≤ -4

         -x² - 3x             if  -4 < x ≤ 1

         2x + 7               if  x > 1

So, we have the expression to be

f(1) - f(-7)

In the function f(1), we have the x value to be

x = 1

This x value is at the domain -4 < x ≤ 1

So, we make use of

f(x) = -x² - 3x

Substitute 1 for x in f(x) = -x² - 3x

f(1) = -(1)² - 3(1)

Evaluate

f(1) = -4

In the function f(-7), we have the x value to be

x = -7

This x value is at the domain x ≤ -4

So, we make use of

f(x) = |x + 8| - 9

Substitute -7 for x in f(x) = | x + 8| - 9

f(-7) = |-7 + 8| - 9

Evaluate

f(-7) = -8

Recall that

f(1) - f(-7)

So, we have

f(1) - f(-7) = -4 - -8

This gives

f(1) - f(-7) = 4

Hence, the value of f(1) - f(-7) is 4

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Write an equation in slope-intercept form of the line that passes through (-5, 5) and (5, - 5).
An equation is

Answers

Answer:

y=-5x+5

Step-by-step explanation:

Would you use SSS or SAS to prove the triangles are congruent? If there is not enough information to prove the triangles are congruent, write not enough information. Explain your answer.

Answers

The true statement is (c) SSS; two congruent sides are given and the third side is congruent by the Reflexive Property of Congruence.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

It is given that:

The sides marked with II are congruent.

The triangles are congruent.

Thus, the true statement is (c) SSS; two congruent sides are given and the third side is congruent by the Reflexive Property of Congruence.

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What is the difference between 0.5 and .12?
check my answer is
.38​

Answers

Answer: 0.38 is correct!

Step-by-step explanation:

0.50 - 0.12 = 0.38
Your answer is correct

A company logo
is shaped like an equilateral triangle with
2-in.-long sides. What is the height of the
logo? Round to the nearest tenth.

Answers

[tex]\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2} ~~ \begin{cases} s=sides\\[-0.5em] \hrulefill\\ s=2 \end{cases}\implies h=\cfrac{2\sqrt{3}}{2}\implies h=\sqrt{3}\implies h\approx 1.7[/tex]

Use the symbols, or to compare each pair of values. Answer: -6.81 0.979 -0.87 5%

Answers

Answer:

-6.81 < 0.979, -0.87 > 5%

Step-by-step explanation:

1. Compare the whole numbers of each pair: 6 < 0 and -0 < 5

2. Compare the decimal numbers of each pair: 0.81 < 0.979 and 0.87 > 0.05

3. Combine the two comparisons to get the final result: -6.81 < 0.979 and -0.87 > 5%

(10,-8), (20,6) find the slope

Answers

Answer:

7/5 decimal form- 1.4

Step-by-step explanation:

Hope this helped ! :D

O
Tom wants to pour 84.99 grams of salt into a container. So far, he has poured. 17.4 grams. How much more salt should Tom pour?
grams
Explanation
Check
X
G
Eple Charter

Answers

The remaining amount of salt that Tom needed to pour was 67.59 grams.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

The group's total number of items decreases or becomes lower when we subtract from it.

As per the given,

The total amount that Tom needs to pour = 84.99 grams

Amount poured = 17.4 grams

Remaining = 84.99 grams - 17.4 grams = 7.59 grams

Hence "The remaining amount of salt that Tom needed to pour was 67.59 grams".

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2x+3y=6
−4x+3y=12

Answers

The best way to start off this question is to get rid of the y value as the y value is already equal in both equations. T[tex]-1[/tex]o get rid of the y value, subtract the 2 equations together.

[tex]6x=-6[/tex]

[tex]x=-1[/tex]

Now that you have solved x, you can replace any x value (from either equation). In this scenario, the first equation is easier to solve for the y value.

[tex]2(-1)+3y=6\\-2+3y=6\\3y=8\\y=\frac{8}{3}[/tex]

Thus,

x = [tex]-1[/tex] and y = [tex]\frac{8}{3}[/tex];    [tex](-1,\frac{8}{3} )[/tex]

Hope this helped :)

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