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

Lashonda reads a book at a rate of 12 chapters per hour. How many chapters does she read in 3 hours?

Answers

Answer:

12×3=36

Step-by-step explanation:

hope ththis helped :))

36 because you have to do 12x3

Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going
on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative
sample of the population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
O The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
O The representative sample contained an equal number of boys and girls.

Answers

The representative sample contained more girls than boys

Answer:

more girls than boys.

Step-by-step explanation:

because there is 95 girls compared to 65 boys, so whatever random numbers of both are pulled, girls will have the higher ratio.

IMAGE BELOW I WIL GIVE BRANLIEST

Answers

Answer:

The scale factor is 2.

Step-by-step explanation:

From the coordiante plane, we can see that:

Point H(4) has been expanded to 4 {4 · 2 = 8}

Point G(1) has been expanded to 2 {1 · 2 = 2}

Point I(-2) has been expanded to -4 {-2 · 2 = -4}

hope this helps!

HURRY PLEASE SOLVE will give brainliest!!!​

Answers

2

x-9 = -5

2=x 2+x + 4-2=2 2-6+

-4

2

X

+2= 4 + 62 =66 +9 = 75

rohana wants to find the volume of a sphere that has a radius of 10 feet. which equation can she use to solve for this value in cubic feet ?

Answers

The equation that can be used to determine the volume of the sphere is 4/3π10³

What is the volume of the sphere?

A sphere is a three-dimensional object in which points from its center to its circumference is equidistant.

Volume of a sphere = 4/3πr³

Where:

π = pi = 22/7r = radius

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

help guys with this question

Answers

Answer:

slope: 2

points: (2, 4), (6, 12)

slope:

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{12-4}{6-2}[/tex]

[tex]\rightarrow \sf \dfrac{8}{4}[/tex]

[tex]\rightarrow 2[/tex]

What is the area of this figure?

Answers

Answer:

38.5

Step-by-step explanation:

to find the area of the triangle, you can do 11 x 3 ÷ 2 = 16.5

then you find the area of the triangles: 3 x 3 = 9

and 3 × 11 = 33

then you add them all to find a total area of 38.5

5. A box contains 4 white balls and 6 yellow balls. A ball is drawn at random from the box and is not replaced. What is the probability that both balls are white?
8/45
3/25
4/25
2/15

Answers

2/15
First Draw
There are 4 white balls and 6 yellow balls and 10 balls in total so a 4/10 chance to get a white ball
Second Draw
Now you are down one white ball so now it’s a 3/9 chance to get a white ball
Then you just multiply the probabilities together to get 2/15

Answer:

2/15

Step-by-step explanation:

Given:

A box contains 4 white balls and 6 yellow balls. A ball is drawn at random from the box and is not replaced. What is the probability that both balls are white?

8/45

3/25

4/25

2/15

Solve:

Knowing that total = 10 { 4 white balls and 6 yellow balls}

P(first white)=4/10=2/5 { 4 out of 10 balls are white}

P(second white)=3/9=1/3 { 3 out of 9 balls are white; Since no replaced}

P(both white)=2/5 × 1/3=2/15

Hence, Answer = 2/15

Lenvy~

A wild population of penguins is being monitored in 2000, the population was 200 penguins and
thanks to conservation efforts the population is growing by 296 every year.

What is the initial value?

Answers

Answer: 200

Step-by-step explanation:

The initial value is 200, since this is the population before conservation efforts began.

10 yes ago the age of father was double than that of his daughter age. if the sum of their age is 50 yes find their present age​

Answers

Answer:

Hope the picture will help you......

hi anyone can help me :) i have no idea how to do it . pls help me thx​

Answers

Answer:  2-(-1) = 3

Explanation:

The first column is nothing but "2"s.

The second column has the sequence 2, 1, 0 from top to bottom. If the pattern keeps up, then the next value in the second column should be -1 since we're counting down by 1. Use a number line to see this.

So we have 2-(-1) = 2+1 = 3 or 2-(-1) = 3 as the next line. I think keeping it as 2-(-1) rather than 2+1 is beneficial so that the minus signs line up.

The result of 3 helps confirm that the final column of values (0,1,2) is incrementing by 1.

Find the area of a triangle

Answers

Answer:

240 feet

Step-by-step explanation:

The formula for finding the area of a triangle is: [tex]\frac{1}{2}bh[/tex], where [tex]b[/tex] stands for the base and [tex]h[/tex] stands for the height.

In this case, 20 is our height, and 24 is our base. Let's plug that into the formula.

[tex]1/2(20)(24)\\1/2(480)\\240[/tex]

Therefore, the area of the triangle is 240 feet.

#LearnWithBrainly

You are traveling underwater in a submarine. The sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34 degrees to the bottom of the iceberg. How many meters (to the nearest tenth) does the iceberg extend below the surface?

Answers

Answer: x = 4ooo sin 340 x = 223627 ft.

Step-by-step explanation: The angle between the waterline and the submarine is 34°. How deep is the submarine?

Question 2 of 5
Which choice describes the shape of the data?
83 84 85 86 87 88 89 90 91 92
A. Symmetric; not bell-shaped
ОО o
B. Not symmetric; not bell-shaped
C. Symmetric, bell-shaped
o
D. Not symmetric, bell-shaped

Answers

D the answer is D. I know this Bc I did that 2 weeks ago and had 2 test on this and made 100% on both test

The crime rate of a certain city is increasing by exactly 6% each year. If there were 550
crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2016.

Round to the nearest whole number.

Answers

Using an exponential function, it is found that the approximate number of crimes in the year of 2016 was of 2502.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the growth rate, as a decimal.

In this problem, there were 550 crimes in the initial year observed, and the growth rate is of 6%, hence the parameters are A(0) = 550, r = 0.06, and the equation is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 550(1 + 0.06)^t[/tex]

[tex]A(t) = 550(1.06)^t[/tex]

2016 is 26 years after 1990, hence:

[tex]A(26) = 550(1.06)^{26} \approx 2502[/tex]

The approximate number of crimes in the year of 2016 was of 2502.

More can be learned about exponential functions at https://brainly.com/question/25537936

what is the least common denominator of 1/3 and 1/6 ​

Answers

Answer: 6. this is like 3rd grade math just multiply 1/3 and 1/6 to see

Answer:

1/2

Step-by-step explanation:

1/6/1/3=1/2or2

I the not understand the question properly

What is the total area of the three triangles? 12.5 square units 13 square units 13.5 square units 14 square units

Answers

The area of the considered 3 triangles is given by: Option B: 13 sq. units.

How to find the area of a triangle whose vertices' coordinates are given?

Suppose the vertices of the considered triangle ABC are on [tex]A(A_x,A_y), B(B_x,B_y), C(C_x,C_y)[/tex], then, the area of the triangle is given by:

[tex]Area = \dfrac{|A_x(B_y-C_y) + B_x(C_y-A_y) + C_x(A_y-B_y)|}{2}[/tex]

For this case, the missing image is attached below.

The second and third triangle are easy as their base and height are parallel to x or y axis.

We will find area of third triangle by coordinates of its vertices.

Getting area of first triangle:

Coordinates of A : (4,10)Coordinates of B : (5,7)Coordinates of C : (7,8)

Thus, we get:

[tex]Area_{ABC} = \dfrac{|4(7-8) + 5(8-10) + 7(10-7)|}{2} = \dfrac{7}{2} = 3.5 \: \rm unit^2[/tex]

Area of second triangle = [tex]\dfrac{|RS| \times h}{2}[/tex]base, and h is the perpendicular line connecting from line RS and the vertex T

From figure we see:

|RS| = 3 units, h = 3 units

Thus, area of second triangle = [tex]3 \times 3 /2 = 4.5 \: \rm unit^2[/tex]

Area of third triangle = [tex]\dfrac{|XY| \times h}{2}[/tex] where XY is base, and h is the perpendicular line connecting from line XY and the vertex Z

From figure we see:

|XY| = 5 units, h = 2 units

Thus, Area of third triangle = [tex]5 \times 2 /2 = 5 \: \rm unit^2[/tex]

Total area = 3.5 + 4.5 + 5  = 13 sq. units

Thus, the area of the considered 3 triangles is given by: Option B: 13 sq. units.

Learn more about area of a triangle from its vertices' coordinates here:

https://brainly.com/question/2532574

Answer:

13

Step-by-step explanation:

Which of the following represents 5 + 10? Mark all that apply.​

Answers

ANSWER: E, C
this is because 5 divided by 10 is a half, 5/10 and the simplified version is also 1/2
Answer:

C and E i think

Step by step explanation:

A is 15,8

B is 0,25

C is 0,5

D is 0,4

E is 0,5


Can someone help me please and thank you! :))))​

Answers

Original price = $7200

But he bought it for 65%

So it is just 65% of $7200

0.65 * $7200 = $4680

Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of less than 20 hours each week. A random sample of 33 students were asked to keep a diary of their activities over a period of several weeks. It was found that he average number of hours that the 33 students studied each week was 17. 7 hours. The sample standard deviation of 3. 9 hours. Find the p -value. The p -value should be rounded to 4-decimal places

Answers

Using the t-distribution, as we have the standard deviation for the sample, it is found that the p-value is of 0.0009.

What are the hypotheses tested?

At the null hypothesis, it is tested if the students study 20 hours, that is:

[tex]H_0: \mu = 20[/tex].

At the alternative hypothesis, it is tested if they study less than 20 hours, that is:

[tex]H_1: \mu < 20[/tex].

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

In this problem, the values of the parameters are given as:

[tex]\overline{x} = 17.7, \mu = 20, s = 3.9, n = 33[/tex].

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{17.7 - 20}{\frac{3.9}{\sqrt{33}}}[/tex]

[tex]t = -3.39[/tex]

What is the p-value?

Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than value, the p-value is of 0.0009.

More can be learned about the t-distribution at https://brainly.com/question/13873630

Turn the written information into a equation (exponential function):

Common ratio of 4; horizontal shift right 6

Answers

Step-by-step explanation:

common ratio is usually used for geometric sequences.

every term is created by multiplying the previous term by a certain constant factor (= common ratio).

this factor or common ratio is in our case 4.

such a sequence is a function f(x) for x being whole numbers.

a0 = 1

a1 = a0×4 = 1×4 = 4

a2 = a1×4 = 4×4 = 16

...

an = 4^n

as general function that is then

f(x) = 4^x

a horizontal shift right by 6 units means that now the functional value of x is the same as it was for (x-6) before the shift.

e.g. f_new(6) = f_old(0)

so, the function is

f(x) = 4^(x - 6) or (4^x)/4⁶

What are the linear equations for the lines passing through the following points (3,4) and (5,8)

Answers

Answer:

The equation of the line is y = 2x + 2

Step-by-step explanation:

Given:The two points are (3, 4) and (5, 8)

To find:- Equation of a linear line

Solution:-

Equation of a linear line can be placed in the format:

y = mx + c

Formula for finding the slope(m):

[tex] \sf{}m = \frac{x- x_1}{y - y_1} = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ \sf{}m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex] \sf{}m = \frac{8 - 4}{5 - 3} = \cancel \frac{4}{2} = 2[/tex]

Form the intermediate equation:

y = mx + c

[tex] \mathtt{y = 2x + c}[/tex]

Find the y-intercept:

Substitute (3,4) into the equation

[tex] : \longrightarrow \: \mathtt{y = 2x + c} \\ \\ : \longrightarrow \:\mathtt{4 = 2(3) + c} \\ \\ : \longrightarrow \: \mathtt{4 = 6 + c} \\ \\ : \longrightarrow \: \mathtt{c = 6 - 4} \\ \\ : \longrightarrow \: \mathtt{c = 2}[/tex]

Form the equation:

[tex]: \longrightarrow \: \mathtt{y = 2x + c} \: \\ \\ \mathtt{putting \: values \: of \: c} \\ \\ : \longrightarrow \: \mathtt{y = 2x + 2}[/tex]

The equation of the line is [tex]\underline\mathfrak\red{{{y = 2x + 2}}}[/tex]

if y=5x-3, find the value of y when x=0

Answers

Answer: [tex]Y=-3[/tex]

Step-by-step explanation:

[tex]Y=5x-3[/tex]

[tex]Y=5 * (x) -3[/tex]

Then replace x by 0

[tex]Y=5 * (0) -3[/tex] or [tex]Y= 5(0) -3[/tex]

[tex]Y=0 -3[/tex]

[tex]Y=-3[/tex]

2 2/3 - 1 1/2 - 4/5
what does it equal

Answers

Answer:

11/30

Step-by-step explanation:

Do you need an explanation?

The diameter of a circle is 13 m. Find its circumference in terms of pie

Answers

Answer:

The answer is [tex]13\pi[/tex] or 40.84

Step-by-step explanation:

We are given the diamater so

[tex]r=\frac{d}{2}[/tex]

[tex]r=\frac{13}{2}[/tex]

[tex]r=6.5[/tex]

Formula for circumference.

Take note.

C = circumference

r = radius

[tex]C=2\pi r[/tex]

You want your answer in terms of Pi.

So we can write another equation.

[tex]2\pi r=\pi x[/tex]

x stands for the number in terms of Pi.

Now we can solve for x.

[tex]x=\frac{2\pi r}{\pi }[/tex]

Now lets plug in what we know.

[tex]x=\frac{2*\pi*6.5 }{\pi }[/tex]

[tex]x=13[/tex]

The volume of this rectangular prism is 72 in³. What is the missing measurement for c?



What is the length of the shipping carton?



Enter your answer in the box.

c = in

Answers

[tex]\huge\fbox\purple{ANSWER} [/tex]

[tex] \mathsf\pink{v = l \times w \times h}[/tex]

[tex] \mathsf \purple{{72in}^{3} = c \times 4in \times 3in}[/tex]

[tex] \mathsf \pink{ {72in}^{3} = c \times 12 {in}^{2} }[/tex]

[tex] \mathsf \purple{ \frac{72 {in}^{3} }{ {12in}^{2} } = c \times \frac{12 {in}^{2} }{ {12in}^{2} } }[/tex]

[tex] \mathsf \pink{6in = c}[/tex]

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

➣Given➣shipping carton basically shape is rectangular prism type

➣its volume (shipping carton)=72in²➣its height =3in➣its width = 4in➣ assumption :- length "c"

[tex] \boxed{ \pink✠\underline{ \boxed{ \sf{Volume \: of \: Rectangular \: prism=length × width × height.}}} \pink✠}[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

★ Let's substitute values according to given info

[tex] \qquad \sf \: ➛ 72 = c \times 4 \times 3 \\ \qquad \sf \: ➛72 = c \times 12 \\ \qquad \sf \: ➛transporting \: 12 \: in \: divide \\ \qquad \sf \: ➛ \frac{72}{12} = c \\ \qquad \sf \: ➛ \cancel\frac{72}{12} = c \\ \qquad \sf \: ➛6 = c[/tex]

[tex]\rule{80mm}{2.5pt}[/tex]

★ Hence "c" (length) of Rectangular prism (shipping carton) is

[tex]\boxed{ \blue✜\underline{ \boxed{ \sf{length(c)= 6inch \green✓}}} \blue✜}[/tex]

Hope it helps !

Philip is a football player who runs a pass route that takes a right angle bend as shown in the diagram below. Which do you think will have the greater magnitude; the average speed or the average velocity? explain why

Answers

Answer:

Average velocity

Step-by-step explanation:

The average speed is only different from average velocity because it has direction.

The average speed will be calculated with the hypotenuse A_C, but average velocity will be calculated with the two directions AB_BC.

A collector has 210 magazines and 300 books. She wants to maintain
this ratio in her collection but she needs to sell some of her items. If
she sells 21 magazines, how many total items should she sell from
her collection?

Answers

Answer:

51 total items

Step-by-step explanation:

210 Magazine : 300 Books

21 Magazine : 30 Books

If She wants to sell 21 magazines, she would have to sell  another 30 books in order to maintain the ratio.

21 + 30 = 51

Greg works mowing lawns and babysitting.he earns $8.90 and hour for mowing and 7.90 and hour for babysitting how much will he earn for 6 hours of mowing and 5 hours of babysitting ?

Answers

Answer:

92.9

Step-by-step explanation:

8.90 times 6 equals 53.40

7.90 times 5 equals 39.50

39.50 plus 53.40 equals 92.9

how do i get my math grade up ​

Answers

Answer:

just practice alot . .. ...........

Answer:

you could do all your work and try to ask the teacher for help

Step-by-step explanation:

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