what is the area of this figure?

What Is The Area Of This Figure?

Answers

Answer 1

Answer:

  234 square millimeters

Step-by-step explanation:

You want the area of the irregular polygon shown.

Composition

There are always several ways you can find the area of a figure like this. In the attachment we have shown extensions of the vertical and horizontal lines that will divide the figure into a triangle and two rectangles.

Triangle area

The triangle has a base of 12 mm and a height of 13 mm. Its area is ...

  A = 1/2bh

  A = 1/2(12 mm)(13 mm) = 78 mm²

Rectangle area

The upper rectangle has a width of 8 mm and a length of 14 mm. Its area is ...

  A = LW

  A = (14 mm)(8 mm) = 112 mm²

The lower rectangle has a width of 4 mm and a length of 11 mm. Its area is ...

  A = (4 mm)(11 mm) = 44 mm²

Total area

The area of the figure is the sum of the areas of its parts:

  total area = triangle area + upper rectangle + lower rectangle

  total area = 78 mm² + 112 mm² + 44 mm² = 234 mm²

The area of the figure is 234 square millimeters.

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What Is The Area Of This Figure?

Related Questions

7(g + 2h)
What is an equivalent expression

Answers

Answer:

7g+14h

Step-by-step explanation:

hope it helped you

Answer:

7g + 14h

Step-by-step explanation:

What is an equivalent expression?

7(g + 2h)

7(g) + 7(2h) <== multipe both terms by 7

7g + 14h

Hope this helps!

Condense the logarithmic expression using logarithmic properties.

3 log x + 2 log y - log y

Answers

Answer: [tex]log (x^3y )[/tex]

Step-by-step explanation:

First we want to make the coefficients of the log the exponents of what is in the log

[tex]3 log (x) + 2 log (y) - log (y)\\log (x^3) + log (y^2) - log (y)[/tex]

Now adding two log with the same base is the same as multiplying what you are taking the log of

[tex]log (x^3) + log (y^2) - log (y)\\log (x^3y^2) - log (y)[/tex]

Now subtracting two logs with the same base is the same as dividing what you are taking the log of

[tex]log (x^3y^2) - log (y)\\log (\frac{x^3y^2}{y} )[/tex]

Now we simplify

The [tex]y^2[/tex] cancels out the y in the denomiator

[tex]log (x^3y^2) - log (y)\\log (x^3y )[/tex]

Step-by-step explanation:

xlog3+ylog2-ylog

log3×log2 -ylog

log6-ylog

Find the hypotenuse, , of the triangle

Answers

Answer:

hypoténuse =  15  in

b ² = 15² - 9²

b ² = 144

b = √144 = 12

Perimeter =  15 + 9 + 12 = 36 inches

Step-by-step explanation:

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Find the missing side of the triangle.

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

We should find the leg of this right triangle, not the hypotenuse.

The hypotenuse, the longest side, is already given to us.

We can find it using Pythagoras' Theorem:

[tex]\Large\textbf{$a^2+b^2=c^2$}[/tex].

We know b and c, we need to find a.

[tex]\bf{a^2+9^2=15^2}[/tex] | square

[tex]\bf{a^2+81=225}[/tex] | subtract 81

[tex]\bf{a^2=144}[/tex] | square-root both sides

[tex]\bf{a=\pm12}[/tex]

And we should automatically cross out this extraneous solution of "a=-12", because side lengths can't be negative!

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

             [tex]\bf{a=12}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]

A local candy shop sells boxes of chocolate for $3.75 each. If a customer purchases six or more boxes, the cost is only $3.25 per box, plus the customer has an additional $5 fee per order. If C(x) represents the total cost and x represents the number of boxes, which of the following functions best models this scenario?

Answers

The piecewise function that models the scenario is:

c(x) = $3.75*x + $5   if x < 6

c(x) = $3.25*x + $5  if x ≥ 6.

How to write a piecewise function?

A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.

The function in this case, if we define x as the number of boxes bought, is:

c(x) = $3.75*x + $5   if x < 6c(x) = $3.25*x + $5  if x ≥ 6.

Where the cost per box changes for x equal or larger than 6.

If you want to learn more about piecewise functions, you can read:

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We want to find the zeros of this polynomial:
p(x) = (x+2) (2x^2 + 3x-9)

Answers

Answer:

x = - 2, x = - 3, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

to find the zeros equate p(x) to zero , then

(x + 2)(2x² + 3x - 9) = 0 ← factor the quadratic

(x + 2)(x + 3)(2x - 3) = 0

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 3 = 0 ⇒ x = - 3

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

Scientists developed a maze for rats that has 555 compartments, and each compartment had a different food. In each trial, scientists would record which compartment the rat went to first. They were curious if the rats favored some compartments more than others. Here are the results from 1000 trials.

Answers

The expected count that can be deduced from the arrivals to the second compartment will be 200.

How to calculate the expected count?

It should be noted that in order to perform a goodness of fit test, the expected number of rats that are in each compartment will be gotten.

Therefore, the expected number of rats that will be in the second compartment will be:

= 1/5 × 1000

= 200

In conclusion, the correct option is 200.

Learn more about expected count on:

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A store is open for business while it is being renovated. The noise from the renovation is increasingly driving

away customers. The daily revenue, r (d), the store has made d days since renovation began is modeled by the

function r (d) = 10,000 (0. 939)d. What is the factor of decay in this function?

A

1. 9539

B

10,000

с

0. 0461

D

0. 9539

Answers

The factor of decay in the function that represents the daily revenue of the store is 0.939.

What is the factor that represents decay?

The factor that represents decay is the factor that reduces the growth rate of revenue for this store. In the given function, the factor that represents decay would have a value that is less than one.

To learn more about exponential functions, please check: https://brainly.com/question/26331578

6.005= as what percent

Answers

Linguistically, percent can be broken down to:
Per cent

A cent is seen as $0.01, where the one is in the hundredths place.

So, we can multiply this number, 6.005, with 100. Move two decimal places to right, which makes 600.5%!

If you would like to turn a percent into a decimal, divide the percent by 100, or simply put the decimal point to back the left two times!

Answer:

[tex]\displaystyle 600\frac{1}{2}\%[/tex]

Explanation:

Just move the decimal mark twise to the right and you will arrive at your result.

I am joyous to assist you at any time.

5. Simplify the expression,
(-2 - 5i) - (-4+6i)
2 - 11i
-2+i
-6 + 11i
-5i

Answers

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

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \:( - 2 - 5i) - ( - 4 + 6i)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2 - 5i + 4 - 6i)[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 2 + 4 - 5i- 6i)[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 - 11i[/tex]

Therefore, A is the Correct choice !

Adjacent --------------------- Vertical




DBC and ABC

ABC and DBE

CBD and EBA

EBA and ABC





put them where they're supposed to go

Answers

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

Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.

Now, since we know the concept, let's dig in ~

DBC and ABC - Adjacent

ABC and DBE - Vertical

CBD and EBA - Vertical

EBA and ABC - Adjacent

A letter is randomly selected from the word “PINEAPPLE.” Which is
more likely, selecting "E” or selecting "P?" Explain your reasoning.

Answers

Answer:

e= 2/9

p= 3/9

Step-by-step explanation:

p is the answer

The more likely probability is selecting the letter P from the word “PINEAPPLE.”

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

To determine which letter is more likely to be selected, "E" or "P," we need to compare the number of occurrences of each letter in the word "PINEAPPLE."

In the word "PINEAPPLE," there is only one occurrence of the letter "E."

And , there are three occurrences of the letter "P" in the word "PINEAPPLE."

Therefore, the probability of selecting E = 2/9

And , the probability of selecting P = 3/9

Hence , it is more likely to select the letter P than E

To learn more about probability click :

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#SPJ2


You have a coupon for 35% off any purchase over $15 at a pizza shop. If your order totals $18, how
much do you have to pay?

Answers

Answer:

11.7

Step-by-step explanation:

I think that is right because you have to - 35%

The sales tax in your state is 5%. If a car cost 16,700 what is the total cost, including tax.

Answers

Answer:

17,535 dollars

Step-by-step explanation:

5% of 16,700 is 835, so add the two together and you get your answer.

Mrs. Orrie surveyed all classes that he teaches about the three different types of music thay students most listen to. His findings are displayed in the Venn diagram below.

Part A: Determine the probability that a student will like Top-Hits.

Part B: Determine the probability that a student will like country or R&B.

Part C: Determine the probability that a student will not like all three generes of music.

Answers

Using the probability concept, it is found that there is a:

A. 0.5116 = 51.16% probability that a student will like Top-Hits.

B. 0.7907 = 79.07% probability that a student will like country or R&B.

C. 0.9186 = 91.86% probability that a student will not like all three generes of music.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

According to the Venn diagram, there is a total of 18 + 8 + 11 + 7 + 24 + 1 + 17 = 86 students.

Item a:

18 + 11 + 7 + 8 = 44 like top hits, hence:

p = 44/86 = 0.5116.

0.5116 = 51.16% probability that a student will like Top-Hits.

item b:

24 + 11 + 7 + 1 + 17 + 8 = 68 like country of R&B, hence:

p = 68/86 = 0.7907.

0.7907 = 79.07% probability that a student will like country or R&B.

Item c:

Only 7 like all three, hence 86 - 7 = 79 do not.

p = 79/86 = 0.9186.

0.9186 = 91.86% probability that a student will not like all three generes of music.

More can be learned about probabilities at https://brainly.com/question/14398287

the temperature is currently 0°C and
has been falling at a constant rate of 3°C per hour.
If it continues fall at this rate, what will the temperature be:
• in 2 hours?

Answers

Answer:-6°

Step-by-step explanation:

-3° the first hour -6° the next

The answer would be -6 degrees .

I need help on this question

Answers

Answer:

ans: 4/729

Step-by-step explanation:

here,

-2 ^2 = 4

and

(3^3)^2 = 3^6 = 729

= 4/729

which is closer to -3/5 … 2/5, -0.2, -4/5, 0.6

Answers

-3 : 5 = - 0,6

so it will be - 4/5  (= - 0,8)

separate into real and imaginary parts and find the multiplicative inverse of √2+i/√2-i (only 2 is in the √

Answers

The multiplicative inverse for √2-i = 1/(√2+1) and  The multiplicative inverse is √2+1 = 1/(√2-1)

Real and Imaginary Numbers/Complex Numbers

Given Data

First expression = √2+iSecond expression = √2-i

For√2+i

the real part is  is √2 and the imaginary part is i

The multiplicative inverse is √2+1 = 1/(√2-1)

rationalising the denominator we have

= 1/√2-1 * √2-1/√2-1

= √2-1/(√2-1)*(√2-1)

= √2-1/(2-√2-√2+1)

= √2-1/(-2√2+3)

For√2-i

the real part is  is √2 and the imaginary part is -i

The multiplicative inverse is √2-1 = 1/(√2+1)

Rationalising the denominator we have

= 1/√2+1 * √2+1/√2+1

= √2+1/(√2+1)*(√2+1)

= √2+1/(2+√2+√2+1)

= √2+1/(2√2+3)

Learn more about complex Numbers here

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Look at the PICTURE and please respond FAST to get MARKED best.

Answers

Opposite angles equal each other.

120= 2y+30
90=2y
45=y

Adjacent angles sum equals 180, because the flat line angle is 180.

2x+10 + 45 = 180
2x+55 = 180
2x= 125
X = 62.5

Answer:

y = 45, x = 25

Step-by-step explanation:

Since 120 and (2y + 30) are vertical angles, (2y + 30) will equal 120.

2y + 30 = 120, Subtract by 30 on both sides

2y = 90, Divide 90 by 2

y = 45

Since 120 and (2x + 10) equal a straight line, it's a supplementary angle. Supplementary angles are equal to 180. Then you do 180 - 120, which equals 60. That means (2x + 10) equals 60.

2x + 10 = 60, Subtract 10 by both sides

2x = 50, Divide 50 by 2

x = 25

which experssion is equivalent to 5(4x+3)-2x

Answers

Answer:

18x + 15

Step-by-step explanation:

First, deal with the first part of the question:

5(4x+3)

We multiply the outside of the brackets with the inside. So, we do

5 x 4x = 20x

and 5 x 3 = 15

then put them together:

20x+15

Now, the second part:

- 2x

We cannot simplify this further so we put the two parts together:

20x + 15 - 2x

Collect like terms (20x - 2x) =

18x + 15

I hope this helped. If you have any further questions, do ask.

- profparis

please just answer don’t explain

Answers

Answer:

13 C 14 D 15 A 16 B

Step-by-step explanation:

Sorry thats all i know hope you found this helpful

express 59/2^4×5^4 in decimal form.
answer asap. Ill mark brainliest​

Answers

Answer:

~Male Y/n here~ I think this would be your question in decimal form,

2304.6875

(Hope this helps!)

PLS HELPpppppppppppp ;0

Answers

Answer:

reflection

Step-by-step explanation:

by examination

Answer:

A reflection off the x axis

Step-by-step explanation:

Hope this helps!!!

Find f(2) if f(x)=2x+1

Answers

[tex]f(x) =2 x+1 \\\\ \text{If x = 2,}\\\\f(2) = 2(2) +1 = 4+1 = 5[/tex]

Answer:

5

Step-by-step explanation:

plug 2 in for x

f(2) = 2(2) + 1

f(2) = 5 [Asnwer]

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Use the law of sines to find the value of y. round to the nearest tenth. law of sines: startfraction sine (uppercase a) over a endfraction = startfraction sine (uppercase b) over b endfraction = startfraction sine (uppercase c) over c endfraction 1.4 units 1.6 units 2.5 units 2.6 units

Answers

Using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units

What is law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

For this case, the missing image is attached below.

Applying the sine law, as we have:

The side opposite to angle Y is XZ of length y units,The side opposite to the angle Z is XY of length 2 units,The side opposite to the angle X is YZ

The first two angles Y and Z are enough. (we use angle Z as the length of the side opposite to Z is known).

Using sine law, we get:

[tex]\dfrac{\sin(m\angle Y)}{y} = \dfrac{\sin(m\angle Z)}{2}\\\\y = \dfrac{\sin(75^\circ) \times 2}{\sin(50^\circ)} \approx 2.522 \approx 2.5 \: \rm units[/tex]

Thus, using the law of sine on the given triangle, we get the measure of y as given by: Option C: 2.5 units

Learn more about law of sines here:

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An equilateral triangle with side lengths equal to 12 StartRoot 3 EndRoot units is inscribed in a circle. Half a side length of the equilateral triangle is 6 StartRoot 3 EndRoot units, so the apothem is units long and the radius of the circle is units long. Each segment of the circle has an area equal to the difference between the areas of the sector and triangle, or ( π − StartRoot 3 EndRoot) units2.

Answers

The apothem (x) is 11.62 units, the radius of the circle is 12 units, and the area of each segment is 48π − 23.25√3 square units.

What is a circle?

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

An equilateral triangle with side lengths equal to 12√3 units is inscribed in a circle.

And half a side length of the equilateral triangle is 6√3 units.

The apothem (x) is units long and the radius of the circle will be

x² = (9√3)² - (6√3)²

x² = 243 - 108

x² = 135

 x = 11.62

And the radius of the circle will be

[tex]\begin{aligned} \cos 30 &= \dfrac{6\sqrt3}{r}\\\\\dfrac{\sqrt3}{2}&= \dfrac{6\sqrt3}{r}\\\\r &= 12 \end{aligned}[/tex]

Each segment of the circle has an area that will be

Area = the difference between the areas of the sector and triangle

Area = the areas of the sector - the areas of the triangle

The area of the sector will be

[tex]\rm Sector's \ area= \dfrac{120}{360} \pi *12^2 \\\\Sector's \ area= 48\pi[/tex]

The area of the triangle will be

[tex]\rm Triangle's \ area = \dfrac{1}{2*3} * 11.62 * 12\sqrt3\\\\Triangle's \ area = 23.25\sqrt3[/tex]

Then the area of each segment will be

Segment area = 48π − 23.25√3

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

1. 6

2. 12

3. 48

4. 36

Step-by-step explanation:

A textile factory uses a 43 pound bucket of dye to color a roll of fabric that is
1,067 feet long. if the company has 4 buckets of dye, can it color 5 rolls of
fabric?

Answers

Answer:

  No

Step-by-step explanation:

At one bucket per roll, four buckets will color four rolls, not 5.

__

The company cannot color 5 rolls of fabric with 4 buckets of dye.

A.
when are non-forfeiture provisions used?
when the insured names a beneficiary
b. when the insured stops making premium payments on a cash value policy
c. when the insured converts a term policy
d. when the insured dies and there is a settlement

Answers

Answer: should be B

Step-by-step explanation:

Write x=2 in Slope intercept form

Answers

Answer:

y= 2/1 + 0

Step-by-step explanation:

If there's not a y-int. it'll be 0.

need help on this ratio question 4:8 in simplist form then into a fraction?

Answers

Answer:

4:8 in simplified form would be 1/2

Step-by-step explanation:

Think of 4:8 as a fraction, so 4/8. Now, you can reduce it to the lowest form, which is 1/2. How? 4 is the numerator, and 8 is our denominator. Now, we divide 4 by 8. 4 divided by 8 equals 0.5, where 0.5 is converted into 1/2!

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