What is the area of the figure?

What Is The Area Of The Figure?

Answers

Answer 1

To solve the area of a complex shape

  ⇒ best split the shape into smaller regular shapes

     ⇒ let's split this one into

        ⇒the rectangle that has a length of  7cm and width of4 cm

          ⇒ and a pentagon that has a height of 8cm and the two bases of

              length 7cm and 19 cm

Area of Rectangle = length * width = 7 *4 = 28[tex]cm^2[/tex]

Area of Pentagon = [tex]\frac{1}{2}(b1+b2)*h[/tex]

b1: length of one of the bases  ⇒ 7cmb2: length of the other base     ⇒ 19cmh: length of the height               ⇒ 8 cm

   Area of Pentagon = [tex]\frac{1}{2}(7 + 19)*8 = \frac{1}{2}*26*8 = 26 * 4 = 104cm^2[/tex]

Total Area = Area of Rectangle + Area of Pentagon

                  = 104 + 28 = 132[tex]cm^2[/tex]

Hope that helped!


Related Questions

the day before yesterday is 2 days after Sunday what day is today​

Answers

Thursday

Explanation:

Two days after Sunday is Tuesday

Tuesday would be the day before yesterday (Wednesday)

So today is Thursday

Answer:

The Day before the day before yesterday was two days after the day before my birthday. Today is Thursday. The following steps can be used in order to determine the day on birthday: Step 1 - Remember today is Thursday according to the given data. Step 2 - Now, the Day before the day before yesterday is Monday. Step 3 - The two days before Monday is Saturday. Step 4 - And the day of the birthday is after Saturday that is Sunday

Step-by-step explanation:

57771298
How would the mode change if the number 5 were added to the set?

Answers

Answer:

The mode of this list of numbers would still be [tex]7[/tex] (the mode did not change) after "[tex]5[/tex]" was added to the list.

Step-by-step explanation:

The mode of a list of elements is the member that appears the most frequently.

The original list of numbers in this question [tex][5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8][/tex] included the following members:

[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \hline\hline 1 & 1 \\\hline 2 & 1 \\\hline 5 & 1\\\hline 7 & 3 \\\hline 8 & 1 \\\hline 9 & 1 \\\end{array}[/tex]

[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 1\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}[/tex].

The member "[tex]7[/tex]" appeared more often than any other member of this list. Thus, the mode of the original list was "[tex]7\![/tex]".

Adding "[tex]5[/tex]" to the original list would give the list [tex][5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8,\, 5][/tex]. Members of this list are:

[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \hline\hline 1 & 1 \\\hline 2 & 1 \\\hline 5 & 2\\\hline 7 & 3 \\\hline 8 & 1 \\\hline 9 & 1 \\\end{array}[/tex]

[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 2\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}[/tex].

The member "[tex]7[/tex]" still appeared more often than any other member of this list. Thus, the mode of the new list would also be "[tex]7\![/tex]".

You would use a back-to-back stem-and-leaf plot when you want to analyze the heights of the boys on the basketball team.
False
True

Answers

Answer:

true because there are going to be many heights already

Step-by-step explanation:

i it's true

this is because already there will be

so many heights

15<96–q
what is the value of q

Answers

Answer: q < 81

Step-by-step explanation:

isolate q

15 < 96 - q

-81 < -q

divide by negative 1 but flip inequality because you are dividing by a negative

81 > q so

q < 81

Can someone tell me what I did wrong here

Answers

Answer:

should have divided it directly ........ maybe or it's just messy........ maybe

Step-by-step explanation:

..........

...........

8x + 16 = 36

8x = 36 - 16

8x = 20

x = 20 / 8

x = 2.5

4 Alfie did a survey to find which soup was most popular.
The choices were:
tomato
c
chicken
mushroom
A quarter of the children chose chicken soup.
Four times as many children chose tomato soup as chose mushroom soup.
Alfie makes a pie chart to show this information.
What angle should he use for the children who chose tomato soup?

Answers

The angle that would be used to show the number of children that chose tomato soup on a pie chart is 200°.

What angle reprsents the children that chose tomato soup?

A pie chart displays data in a circle. The sum of angles in a pie chart is 360 degrees

The first step is to determine the angle that would be used for children that chose chicken soup:  1/4 x 360 = 90

Remaining angle = 360 - 90 = 250 degrees.

Angle that can be used to represent the children that chose tomato soup: 4x + x = 250

5x = 250

x = 50

50 x 4 = 200 degrees

To learn more about pie charts, please check: https://brainly.com/question/26250795

Data from a sample of 576 people in a city was used to estimate the mean monthly bill
paid by city residents for internet service to be $45 with a standard deviation of $0.48.
Enter a number in the box to complete the sentence below.
S
Use the formula M=1.96 x to calculate the margin of error for a 95% confidence
VN
interval, to the nearest hundredth, $
dollars.

Answers

Using the z-distribution, it is found that the margin of error for a 95% confidence interval is of $0.04.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the sample.

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, the values of the parameters are:

[tex]z = 1.96, \sigma = 0.48, n = 576[/tex].

Hence, the margin of error, in dollars, is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{0.48}{\sqrt{576}}[/tex]

M = 0.04.

More can be learned about the z-distribution at https://brainly.com/question/25890103

PLEASE HELP!!!! ILL MARK BRAINLIEST WITH 10O POINTS!!!!!!! WITH EXLANATION!!


Use the diagram below to create a paragraph proof for the statement: "The sine and cosine of complementary angles are equal"

Answers

Answer:

Complemenraty angles are two angles with sum of 90°. In the given triangle ∠A and ∠B are complementary.

Now, the sine and cosine

sine = opposite side/hypotenusecosine = adjacent side/hypotenuse

Find the sine of ∠A and cosine of ∠B

sin A = BC/ABcos B = BC/AB

Since right sides are equal, left sides are equal too

sin A = cos B

Similarly, we can show that

sin B = cos A

Proved

Find the surface area of the right triangular prism (above) using its net (below).

Answers

Answer:

96 units²

Rectangles

A = bh

4 x 7  = 28

5 x 7 = 35

3 x 7 = 21

Triangles

A = bh/2

(4 x 3)/2 = 6

(4 x 3)/2 = 6

Total SA

28 + 35 + 21 + 6 + 6

96 units²

BRAINLIEST please if this helped!

a=[4 -7 3 -2] find the determinant

Answers

Answer:

13

Step-by-step explanation:

[tex]\text{determinant of A} =\begin{vmatrix}4&-7\\ 3&-2\end{vmatrix}[/tex]

[tex]\text{determinant of A} =\left( 4\times \left( -2\right) \right) -\left( 3\times \left( -7\right) \right)[/tex]

[tex]\text{determinant of A} =-8+21=13[/tex]

Use the given information about angles ABC and DBC to solve for x and the measures of each of the angles. ABC andDBC are supplementary angles. mABC = 3x + 19 and mDBC = 7x - 9. Solve for x and the measures ofABC andDBC. Complete your work in the space provided. Include your calculations and the steps necessary to solve for the measures ofABC andDBC.

Answers

Answer:

Below in bold.

Step-by-step explanation:

Supplementary angles add up to 180 dgrees, so we have the equation:

3x + 19 + 7x - 9 = 180

10x + 10 = 180

10x = 180 - 10

10x = 170

x = 17.

So m <ABC = 3(17) + 19 = 70 degrees

and m < DBC = 7(17) - 9 = 110 degrees.

Answer:

3x + 19+7x-9=180

10x+10=180

10x=180-10

10x=170

x =17

Find the volume . Round to the nearest tenth

Answers

volume: 1740 ft³

[tex]\sf volume\ of \ the \ prism = volume \ of \ rectangle \ + \ volume \ of \ triangular\ prism[/tex]

[tex]\sf volume\ of \ the \ prism =length * width * height+ \ \dfrac{1}{2} * base * height * length[/tex]

[tex]\sf volume\ of \ the \ prism =15* 10* 8+ \ \dfrac{1}{2} * 9* 12* 10[/tex]

[tex]\sf volume\ of \ the \ prism =1200+ 540[/tex]

[tex]\sf volume\ of \ the \ prism =1740[/tex]

Answer:

1740 ft³

Step-by-step explanation:

Volume

= Volume of right triangular prism (upper) + Volume of cuboid (below)

= 1/2L₁B₁H₁ + L₂B₂H₂

= 1/2 x 12 x 10 x 9 + 15 x 10 x 8

= 5 x 108 + 120 x 10

= 540 + 1200

= 1740 ft³

june uses 12eggs to make cupcakes she uses 4eggs for each batch of cupcake

Answers

Answer:

12/4=3

Step-by-step explanation:

12/4

Answer:

3 batches

Step-by-step explanation:

Assuming that you are asking for how many batches she can make, we can divide 12 by 4 to find the number of batches.

Calculate the magnitude of :
1.1.
[tex] \alpha [/tex]

Answers

Answer:

135°

have a nice day

hope it helps

which equation is equivalent to 3(2x - 5) = 4 (x + 3) ?

Answers

Step-by-step explanation:

3(2x - 5) = 4(x+3)

Distribute. Multiply 3 by 2x so the product keeps the variable, multiply 3 by 5 and keep the subtraction symbol. Multiply 4 by x so it would be 4x, multiply 4 by 3

(6x-5=4x+12) Answer

2x +5 > -1 on the number line​

Answers

Answer:

Below

Step-by-step explanation:

2x + 5 > -1

Treat the equality sign (ex. < >) as the costumary equal sign (=).

2x + 5 + (-5) > -1 + (-5)  ---- -5 will cancel out the 5 on the left

2x/2 > -6/2  ------ divide by 2 to single out the x

x > -3

Remember to draw an open dot. Draw an arrow from -3 to the extreme right.

Which of the
following graphs
satisfies these
inequalities?
x- y< 2.
x + 2y > 8
y<4
A
B
2
f

Answers

B

is the answer. Good luck!!

Which statement(s) are true?

No event can be impossible.
No event can be certain.
The more unlikely an event, the closer it is to impossible.
The more likely an event, the closer it is to certain.

Answers

Answer:

no event can be impossible

Answer: no event can be impossible

Step-by-step explanation:

=
15. Given a rectangle ABCD with AD 12. The diagonals AC and BD intersect at point O such that
mZDOC = 30°. Find the area of the rectangle.

Answers

Answer:

To find the area, we need to find the side length AB (and DC).

The easiest way to approach this is to draw a sketch with all the given information (see attached).

As point O is the center point of the rectangle, we can draw a horizontal line from point O to the center point of BC (point M on the diagram) and create a right triangle.  We can then use the Sine rule to find the shortest leg of the triangle (marked as x on the diagram).  This will be half of the side length AB, and so to find the side length, simply multiply it by 2.

To find the missing angles of the right triangle:

m∠COM = (180° - 30°) ÷ 2 = 75°

m∠OCM = 180° - 90° - m∠COM = 90° - 75° = 15°

Sine rule

[tex]\sf \dfrac{a}{sinA}=\dfrac{b}{sinB}=\dfrac{c}{sinB}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

[tex]\implies \dfrac{x}{\sin(15)}=\dfrac{6}{\sin(75)}[/tex]

[tex]\implies x=\sin(15)\cdot \dfrac{6}{\sin(75)}[/tex]

[tex]\implies x=12-6\sqrt{3}[/tex]

As AB = [tex]2x[/tex]

[tex]\begin{aligned} \implies AB & =2x\\ & =2(12-6\sqrt{3})\\ & =24-12\sqrt{3}\end{aligned}[/tex]

Now we have both side lengths of the rectangle, we can easily calculate the area.

Area of a rectangle = width × length

                                = (24 - 12√3) × 12  

                                = 288 - 144√3

                                = 38.5846837...

                                = 38.585 units² (nearest thousandth)

I need to know how the answer

Answers

Answer:

A=1/2(b*h)

A=(3x2*4xy)

A=1/2(12x3y)

A=6x3y

so the answer is option (d)


Help asap for brainliest

Answers

Answer:

282 ft

Step-by-step explanation:

Area of 2 triangles = 6+6

= 12 ft

Area of 3 rectangles = 90+90+90

= 270 ft

therefore

the surface area = 12 + 270

= 282 ft

I think that I am right

Solve the equation.
If necessary:
Combine Terms
5
3-4x=3 = -9x32
Axt/
6
Apply properties:
Add
Subtract
Multiply Divide
To start over:
Reset

Answers

3/4x + 3 -2x = -1/4+1/2x+5 If necessary: Combine Terms Apply Properties: Add, Subtract, Multiply

Find the probability of the following event

You roll a prime number

Answers

Answer:

4/6

Step-by-step explanation:

A die can roll out six numbers from 1 to 6.

Prime numbers from 1 to 6 are: 1,2,3,5

4 out of 6 are prime

A cylinder has a radius 3 inches and height 5 inches. A cone has the same radius and height. What is the volume of the cylinder

Answers

Given Information :-

A cylinder with following dimensions :

Radius = 3 inchesHeight = 5 inches

To Find :-

The volume of the cylinder

Formula Used :-

[tex] \qquad \star \: \underline{ \boxed{ \purple{\sf Volume_{Cylinder} = \pi {r}^{2} h}}} \: \star[/tex]

Where,

r = radius h = height

Solution :-

Putting the values in the formula, we get,

[tex] \sf \longrightarrow Volume=3.14 \times {(3)}^{2} \times 5 \\ \\ \\ \sf \longrightarrow Volume=3.14 \times 45 \: cm \: \: \: \: \: \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \green{ \frak{Volume= {141 .3 \: cm}^{3} }}}} \: \star \: \: \: \: \: \\ [/tex]

Thus, the volume of the cylinder is 141.3 cm³.

[tex] \underline{ \rule{230pt}{2pt}} \\ \\ [/tex]

Step-by-step explanation:

As it is given that, a cylinder has radius 3 inches and height 5 inches and we are to find the volume of the cylinder, also a extra information is given that is a cone has the same radius and height.

[tex] \: [/tex]

We know,

[tex]{ \longrightarrow\qquad{\frak {\pmb{Volume_{(cylinder) } = \pi {r}^{2}h }}}} \\ \\[/tex]

Where,

r is the radius of the cylinder.

h is the height of the cylinder.

Here, we will take the value of π as 3.14 approximately .

[tex] \: [/tex]

Now, we will substitute the given values in the formula :

[tex] \: [/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times ( {3})^{2} \times 5 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times 9 \times 5 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\sf {\pmb{Volume_{(cylinder) } = 3.14 \times 45 }}}} \\ \\[/tex]

[tex]{ \longrightarrow\qquad{\frak {\pmb{Volume_{(cylinder) } = 141.3 }}}} \\ \\[/tex]

Note :

Answer might be different if we take the value of π as 22/7 .

how many real numbers solutions does the equation have ​

Answers

Answer:

this would be 2

Step-by-step explanation:

A chemist has three different acid solutions.
The first solution contains 15 % acid, the second contains 30 % acid, and the third contains 50 %
acid,
She created 78 liters of a 35 % acid mixture, using all three solutions. The number of liters of 50 %
solution used is 3 times the number of liters of 30 % solution used.
How many liters of each solution was used?

Answers

Answer:

Its 50 and it can reach 60

Slope:
Y-intercept=
Equation Y=

Answers

Answer:

Slope = -3

Y-intercept = (0,-4)

Equation = -3x-4

Step-by-step explanation:

Slope is [tex]\frac{rise}{run}[/tex] or [tex]\frac{Y2-Y1}{X2-X1}[/tex]. Apply this from the data in the table, for example:

[tex]\frac{5-8}{-3-(-4)} = \frac{rise}{run}\\ \frac{-3}{1} = \frac{rise}{run}\\\\-3= \frac{rise}{run}[/tex]

Y-intercept is located where x=0. If we look at the table, we will find that when x=0, y=-4. If we turn it into a (x,y) point format, we will get (0,4).

The function can be found using the Y-intercept and the slope. Since at x=0, y=-4, we know that the function must have a -4 in it, therefore: [tex]y = x-4[/tex]. Our function decreases by 3 for every positive x and increases by 3 for every negative x, therefore [tex]y = -3x-4[/tex].

A factory produces 72 pairs of
legging 6 minutes. At the same rate,how many pairs of leggings will the factory produce in 8 minutes?

Answers

Answer:

96 pairs

Step-by-step explanation:

72 pairs / 6 minutes will simplify to 12 pairs per minute.

Then (12 pairs / minute)(8 minutes) =

96 pairs

The whole number m is a term in an arithmetic sequence with common difference 2. Show that the sum of the term m and the next two terms is a multiple of 3, no matter what the value of m. ​

Answers

Answer:

S

ThenSn=n(a1+an)2Sn=n(a1 + an)2 , where nn is the number of terms, a1a1 is the first term and anan is the last term. The sum of the first nn terms of an arithmetic sequence is called an arithmetic series .

Step-by-step explanation:

What is the value of the expression below when x=4 and y=3?
The question is 5x to the 3rd power plus 4y to the 3rd power

Answers

[tex]x = 4\\y = 3[/tex]

Question is [tex]5x^3 + 4y^3[/tex]

We know what [tex]x[/tex] and [tex]y[/tex] are.

[tex]5x^3 + 4y^3 = 5 \times 4^3 + 4 \times 3^3\\= 5 \times 64 + 4 \times 27\\= 320 + 108\\= 428[/tex]

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