Compound Shapes
Find the area of each figure, round your answer to one decimal place if necessary
12 ya
30
1)
3)
2)
3
12 yd
18
12 ya
3
20 yd
24
Area
Area
Area
4)
5)
6)
17 cm
4 cm
7.5 m
8 orn
12 cm
10 m
5 m
Area:
Area:
Area:
9)
7)
8)
35 m
3.5 m
20 in
TO in
18 in
21 m
21 in
18 in
20 in
3.5 m
21 m
Area:
Area:
Area:

Compound ShapesFind The Area Of Each Figure, Round Your Answer To One Decimal Place If Necessary12 Ya301)3)2)312

Answers

Answer 1

Applying the formula for areas of rectangle, triangle, & circle, area of each figure is:

1. 27

2. 537.9

3. 384

4. 168.5

5. 96.3

6. 73.1

7. 357.1

8. 1,029

9. 744

What is the Area of a Circle?

Area of a circle = πr², where r is its radius.

What is the Area of a Rectangle?

Area of a rectangle = length × width

What is the Area of a Triangle?

Where b is the height and b is the base length, area of triangle = 1/2bh.

What is the Area of a Square?

Area = s², where s is the side length.

1. Area of the figure = area of square + area of rectangle = s² + length × width

Area of the figure = 3² + 6 × 3 = 27 ft²

2. Area of the figure = area of circle + area of rectangle = πr² + length × width

Area of the figure = π(7²) + 24 × 16 = 537.9 ft²

3. Area of the figure = area of smaller rectangle + area of bigger rectangle

Area = 12 × 12 + 20 × 12 = 384 yd²

4. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh

Area of the figure = 1/2π(8²) + 1/2(8)(17) = 168.5 cm²

5. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh

Area of the figure = (10)(7.5) + 1/2(7.5)(5) = 96.3 m²

6. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh

Area of the figure = 1/2π(4²) + 1/2(8)(12) = 73.1 cm²

7. Area of the figure = area of 1/2circle + area of rectangle = 1/2πr² + 1/2bh

Area of the figure = 1/2π(10²) + (20)(10) = 357.1 in.²

8. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh

Area of the figure = (35)(21) + 1/2(28)(21) = 1,029 m²

9. Area of the figure = area of square + area of rectangle = s² + length × width

Area of the figure = 18² + 21 × 20 = 744 in.²

Learn more about the area of rectangle, triangle and circle on:

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Related Questions

4
Which equation does not have a solution?
A. -3d + 7 = -9
B. 8d + 7 = -4(-2d - 4)
C. 54+ 15 = 15
D. 2(d' + 6) = -2d - 12

Answers

Answer:

Option B

Step-by-step explanation:

A.)

-3d + 7 = -9

➝ -3d = -7 - 9

➝ -3d = -16

➝ d = -16/-3

➝ d = 16/3

Solution is d = 16/3

B.)

8d + 7 = -4(-2d - 4)

➝ 8d + 7 = 8d + 16

➝ 8d - 8d = 16 - 7

➝ 0 = 9

It has no solution.

C.)

➝ 5d + 15 = 15

➝ 5d = 15 - 15

➝ 5d = 0

➝ d = 5/0

➝ d = 0

Solution is d = 0

D.)

➝ 2(d + 6) = -2d - 12

➝ 2d + 12 = -2d -12

➝ 2d + 2d = -12 -12

➝ 4d = 24

➝ d = 24/4

➝ d = 6

Solution is d = 6

Hence,

(Option B) 8d + 7 = -4(-2d - 4) has no solution.

I need help ASAP! I took a screenshot of the question and linked it.

Answers

Answer:

  18.  $5890

  19.  Mitsubishi Mirage

Step-by-step explanation:

The depreciated value can be found using an exponential relation. The decay rate here is given as 12.5%. The exponential function will have the form ...

  y = a·b^x . . . . . a = initial value, b = decay factor = 1 - decay rate

__

18.

The above equation will have a=15,000, representing the initial value of the car. It will have b=(1-0.125) = 0.875, the decay factor for the car's value. In the 7 years between your 18th and 25th birthdays, the car will have declined in value to ...

  y = $15000·0.875^7 ≈ $5890.44

When you turn 25, the car will be worth about $5890.

__

19.

We found three cars with a price under $15,000:

Nissan VersaChevrolet SparkMitsubishi Mirage

Of these, the Mirage gets the best mileage and has the most cargo space. (It also has the smallest engine.) The Spark has a continuously-variable transmission, not a 5-speed manual, so will be somewhat easier to drive. Its mileage is almost as good, but its range is about 10% less than that of the Mirage or Versa.

(Your curriculum may offer different choices. We cannot tell.)

Perhaps you got a Mitsubishi Mirage.

Amy bought 14 pounds of rice for $6. How many pounds of rice did she get per dollar?

Answers

Answer:

2.3?

Step-by-step explanation:

i just divided it 14 ÷ 6

2.3333 is the amount of money for a pound of rice

There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?​

Answers

Answer:

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the hypergeometric distribution is used to solve this question.

What is the hypergeometric distribution formula?

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this problem:

There is a total of 3 + 4 = 7 marbles, hence N = 7.

Of those, 3 are blue, hence k = 3.

2 marbles will be taken, hence n = 2.

Step-by-step explanation:

the eye of a hurricane is a relatively calm circular region in the center of the storm the diameter of the eye is typically about 20 miles. If the eye of a hurricane is 20 miles in diameter, what is the area of the land that is underneath the eye? answer in square miles

Answers

Answer:

A= 314.159 m2

Step-by-step explanation:

Simple Give Brainliest Please

ans this please i have alot this to do help me​

Answers

Answer:

3.1

Step-by-step explanation:

ok so, 3.14 rounded to the nearest tenth is 3.1

also, keep this in mind

if it is 5 and up it will be able to round up but if it is 4 round it down

can someone help with this?

Answers

Answer:

4) r = 10 yd

   d = 20 yd

5) r = 7 in

   d = 14 in

6) r = 15 ft

   d = 30 ft

7) r = 23 in

   d = 46 in

8) r = 16 yd

   d = 8 yd

9) r = 21 ft

   d = 42 ft

Step-by-step explanation:

Diameter = 2 x radius

*diameter (d)*

*radius (r)*

Which of the following is an equivalent expression to the expression a^1/3 divided by a^1/4?
A. 1/a^12
B. 7/a^12
C. 1/a^12
D. 1/a^7/12

Answers

Answer:

C. 1/a¹²

Step-by-step explanation:

Formula

[tex]\frac{a^{m}}{a^{n} } = a^{m-n}[/tex]

Applying that here :

[tex]\frac{a^{\frac{1}{3} } }{a^{\frac{1}{4} } } = a^{\frac{1}{3}-\frac{1}{4} }[/tex][tex]a^{\frac{4-3}{12} } = a^{\frac{1}{12} }[/tex]1/a¹²

Answer:

a^1/12 or choice A

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\dfrac{a^{\dfrac{1}{3}}}{a^{\dfrac{1}{4}}}}[/tex]

Law of Exponent (Division Property):

[tex]\displaystyle \large{\dfrac{a^m}{a^n} = a^{m-n}}[/tex]

Therefore:

[tex]\displaystyle \large{a^{\dfrac{1}{3}-\dfrac{1}{4}}}[/tex]

Then evaluate the fractions. Keep in mind that we can only evaluate fractions with same denominator. Therefore, calculate the LCM of 3,4 which is 12:

[tex]\displaystyle \large{a^{\dfrac{4}{12}-\dfrac{3}{12}} = a^{\dfrac{1}{12}}}[/tex]

Therefore, the solution is a^1/12 or choice A

What is the LCD of -1 2/8 and 2 3/4?

Answers

Answer:

The least common denominator of [tex]-1\frac{2}{8}[/tex] and [tex]2\frac{3}{4}[/tex] is 8

A parallelogram has a base of 12 meters and a height of 7 meters. What is the area?

Answers

Answer:

Area = 84 sq meters

Step-by-step explanation:

Area of a parallelogram is:

A = b•h

A = 12•7

A = 84 square meters

How do you add 2 1/4 plus 3/4

Answers

Answer:

Step-by-step explanation: first  change 2 1/4 to a improper fraction

you are going to have 9/4 next add 9/4 plus 3/4 which will be equal to12/4 which is the same as 3

Why is ten times ten?

Answers

Answer:

100

Step-by-step explanation:

10 · 10 = 100

Of course it all depends on what the symbols you’re using mean. Assuming the the * means “multiplied by,” the next question is “what is the meaning of the symbols 0 and 1,” but (conventionally) in any field, 0 denotes the additive identity and 1 the multiplicative identity. With those assumptions, the next question is “what is meant by the juxtaposition of those symbols?” Again, the commonly used convention is that, for any numeric field with base b, “10” would mean b, and 100 would be interpreted as b*b.

So, for example, if you’re working with a field where b*b = b (e.g., a modular arithmetic), then 10 and 10*10 would both be 1. On the other hand, if your field is, for example, the integers in base 10 (0, 1, …9), then the other answers would apply.

Bottom line: It all depends on what you assume. Without telling us that, it’s harder to answer your question. Note that the other replies to your question all make some (very commonly agreed upon) assumptions, e.g. that you were working in one of the commonly use, base 10, number fields (integers, real numbers, etc.) where ten sticks, each ten inches long, placed in a straight line, would form a line 100 inches long. (The modular field described above would break the sticks into one inch pieces, stack them on top of each other, and get a line one inch long.)

Tomijia and her nine classmates took a standardized test. Their scores were: 42, 44, 56, 71, 74, 83, 89, 90, 90, 92 If Tomijia received an 89 on the test, which percentile is she in?

Answers

The percentile of Tomijia's scores is her score as a percentage

If Tomijia received an 89 on the test, she is in the 70th percentile

How to determine the percentile?

The score of the tests are given as:

42, 44, 56, 71, 74, 83, 89, 90, 90, 92

From the above list of scores, the score 89 is at the 7th position.

So, we have:

Tomijia = 7/10

Express as percentage

Tomijia = 70%

Hence, if Tomijia received an 89 on the test, she is in the 70th percentile

Read more about percentiles at:

https://brainly.com/question/2884595

For the polynomial f(X)=2x^3-9x^2+11x-20
As
X -> -♾️,f(X) -> ♾️

A. True
B. False

Answers

Answer:

False

Step-by-step explanation:

I'm assuming its because x isn't negative infinity because the leading coefficient is positive

can you help me solve this?

Answers

Answer:

456*567=4890998

46766-6755=566888

Answer:

FGM and reproductive health

In a particular​ city, 21 in 1.5 million people have been struck by lightning. What is the experimental probability of being struck by lightning in this​ city?

Answers

21/(1.5 million) = 0.0014%

Which of the following rational functions is graphed below?

Answers

Step-by-step explanation:

There is a vertical asymptote x=3 and x=-1 so our rational function will contain

(x-3)(x+1).

Since we have a horinzintal asymptote, our numerator will be either a constant function, or linear function.

we have a zero at approximately, at 1 so our numerator will include

[tex] \frac{x - 1}[/tex]

So our rational function is

[tex] \frac{x - 1}{(x - 3)(x + 1)} [/tex]

There is a vertical asymptote x=3 and x=-1 so our rational function will contain option C [tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex].

When do we get horizontal asymptote for a function?

The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.

Since we have a horizontal asymptote, our numerator will be either a constant function or a linear function.

We have given a zero at approximately, 1 so our numerator will include (x-1).

So our rational function is

[tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex]

Learn more about horizontal asymptotes here:

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#SPJ5

The difference between your income and your costs in a given time period is called which ?

1) liability

2) Cash-Flow Balance

3) Guaranteed Minimum

4) Cash cow

Please help thank you

Answers

Cash-flow balance is the answer

Find the perimeter of the figure to the nearest hundredth.




perimeter: about

ft

Answers

The answer is ; 36.85

7. Given: AD || BC and AD=BC.
B
Prove: AB || DC

Answers

Answer:

Step-by-step explanation:

Simplify the expression. (–8.6)0

A)–1
B)–8.6
C)1
D)0

Answers

Answer: D

Explanation: Anything times 0 is 0.

distance between these points
X (-3, -4 ) Y (5, 5)

Answers

Answer:

12.0

Step-by-step explanation:

The distance betwen the two points is the slope/gradient of that line.Slope/gradient = c (pythagoras theorem) : [tex]c^{2} = a^{2} + b^{2}[/tex]x = a, y = bx = 5 - (-4) = 5 + 4 = 9y = 5 - (-3) = 5 + 3 = 8

        [tex]c^{2} = 8^{2} + 9^{2}[/tex]

            = 64 + 81

            = 145

     [tex]\sqrt{c^{2} } = \sqrt{145}[/tex]

Therefore,

          c = 12.0 (3 s.f.)

Please help me yall… my math is due tommorrow!

Answers

Answer:

Step-by-step explanation:

Remark

I think the easiest way to do this is to calculate the probability of those that are 12 to 24. Then subtract the decimal you get from 1. That saves you adding up 3 numbers to get the same answer.

Givens

Total number of movie goers = 3880

Total number that are between 12 and 24 = 1180

Solution

Probability of a random person being drawn from 1180

people between 12 and 24 = Those between 12 and 24 = 1180

Total Number = 3880

P(12 - 24) = 1180 / 3880

P(12 -24) = 0.3041

Remember, that's not what you want. You want everyone else

P(not(12-24)) = 1 - 0.3041

Answer 0.6959

how do i multiply 30 by -20

Answers

Multiplication of a positive number and negative number

   ⇒ is like any other multiplication

      30 * -20 = 30 * ((-1) * 20) = 30 * -1 * 20 = (-1) * 600 = -600

Hope that helped!

A 6 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting?

Answers

Answer:

The answer would be two feet.

Step-by-step explanation:

Step 1. Do 10-6 (10 being the total space and 6 being the painting)
Step 2. Get the answer of 4.
Step 3. Divide four by 2 because it needs to be centered.
Step 4. Get the answer of two feet on each side.
I hope this helps! :)

You deposit $1500 in an account earning 3.5% interest compounded monthly.

a. a. How much will you have in the account in 20 years?

b. b. How much interest will you earn?

Answers

Answer:

Answer:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Step-by-step explanation:

Standard equation of a circle:  \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2

(where (a, b) is the center and r is the radius of the circle)

Substitute the given center (-14, -5) into the equation:

\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2

\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2

Now substitute the point (-7, 5) into the equation to find r²:

\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2

\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2

\sf \implies 149=r^2⟹149=r2

Final equation:

\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149

Write the formula of the function f(x) whose graph is shown.

Answers

Answer:

[tex]f(x)=\dfrac{1}{x+4}[/tex]

Step-by-step explanation:

Asymptote: a line which the curve gets infinitely close to, but never touches.

From inspection of the graph, we can see that there is an asymptote at [tex]x=-4[/tex], since the curve gets infinitely close to this line, but never touches it.

Therefore, the function is undefined at [tex]x=-4[/tex]

For a rational function to be undefined, the denominator must equal zero at that point.  Therefore, we are looking for a rational function with a denominator that equals zero when [tex]x=-4[/tex].

Therefore, option D is the correct solution, since:

[tex]f(-4)=\dfrac{1}{-4+4}=\dfrac{1}{0} \implies \sf und efined[/tex]

A triangle has a perimeter of 16x + 4. If Side 1 is 3x + 2, Side 2 is 8x + 7, what is the measure of Side 3?

Answers

Answer:

5x - 5

Step-by-step explanation:

To find the missing side, add the two sides together and subtract them from the perimeter.

side 1 + side 2

3x + 2 + 8x + 7

combine like terms

11x + 9

Subtract from the perimeter

16x + 4 - (11x + 9)

rewrite as an addition problem, so you need to change the signs inside the parentheses.

16x + 4 + (-11x -9)

Now combine like terms

5x - 5

An equilateral triangle has a perimeter of 90 inches. Find the area of the equilateral triangle, I simplest form.

Answers

Answer:

389.7 square inches

Step-by-step explanation:

equilateral triangle = each side has the same lenght

90 inches / 3 = 30 inches each side

----------------------------------------------------------

Pythagoras

30^2 = 15^2 + x^2

900 - 225 = x^2

v 675 = x

25.98 = x

x = height

----------------------------------------------------------

Area = BxH/2

B = 30 inches

H = 25.98

(30 x 25.98) /2 = 389.7 square inches

Answer:

390 in²

Step-by-step explanation:

Length of the sides of the triangle = 90/3 = 30 in

area of a triangle = (base × height)/2

height of an equilateral triangle with sides of length x  [tex]=\frac{\sqrt{3} }{2}x[/tex]

Then the height of our triangle [tex]=\frac{\sqrt{3} }{2} \times30=26[/tex]

Conclusion:

area of the triangle = (30 × 26)/2 = 390 in²

What is the axis of symmetry for the function f(x)=7−4x+x2?

Answers

Answer:

The axis of symmetry is x=2

Step-by-step explanation:

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