Simple Composite figures question. Find the area of the shape.

Answers

Answer 1

9514 1404 393

Answer:

453.9 m²

Step-by-step explanation:

It considerably simplifies the area calculation to assume the figure decomposes to a parallelogram and an equilateral triangle.

The area of the parallelogram is ...

A = bh

A = (17 m)(6 m) = 102 m²

The area of the equilateral triangle—using the given altitude—is ...

A = 1/2bh

A = 1/2(17 m)(14.7 m) = 124.95 m²

The area of the whole figure is double the sum of these areas, so is ...

A = 2(102 m² +124.95 m²) = 453.9 m²

The area of the shape is 453.9 m².

Additional comment

Unless we make some assumptions about the location of the concave exterior angle at the left and right, we cannot compute the area of the figure. At least, we must assume the 10 m segments are parallel. If that is the only assumption, and other dimensions are taken at face value, the area of the figure computes to about 453.4 m². As you can see from the attachments, the altitude of 14.7 is not quite enough to make the triangle equilateral. That prevents the quadrilateral from being a parallelogram.

Further dividing the quadrilateral along its short diagonal, various lengths and angles can be found using the law of sines and the law of cosines. Then the figure area can be found as the sum of triangle areas: two triangles in the quadrilateral, and the one with altitude 14.7. This alternate approach is shown in the second attachment.

Related Questions

What is the fourth term of (d + 4b)3?

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Answer:

The answer is in the screen shot. You're welcome

Step-by-step explanation:

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hope it helps .

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Fifty- five percent of the students at west side middle school walk to school. What fraction of the students walk to school

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Answer:

55/100 is equivalent to 55% but the fraction in lower terms or simplified is 11/20 hope i helped!

Step-by-step explanation:

G varies directly as the square of j and inversely as m. If g=0.05 when j = 0.4 and m=1.6, what is g when j =6 and m=4

Answers

Answer: The value of G = 4.5

Step-by-step explanation:

As per given,

[tex]G\propto \dfrac{j^2}{m}[/tex]

When we replace proportional sign with an equal to sign, we get

[tex]G=k\dfrac{j^2}{m}[/tex], where k = constant

If G=0.05 when j = 0.4 and m=1.6, then

[tex]0.05=k\dfrac{0.4^2}{1.6}\\\\ 0.05=k(0.1)\\\\ k=0.5[/tex]

Now,

[tex]G=0.5\dfrac{j^2}{m}\\\\\Rightarrow\ G=0.5\dfrac{6^2}{4}\\\\\Rightarrow\ G=4.5[/tex]

hence, when j =6 and m=4, the value of G = 4.5

Chris works at a tire store. Chris can change a tire on a rim in 8 to 12 min, with all times
in between equally likely.
a) What is a probability that Chris changes a given tire in less than 9 min?
b) What is the probability that it takes between 9 min and 11.5 min?
c) What is the probability that it takes exactly 10 min?

Answers

Answer:

8 because I just guess 8

Step-by-step explanation:

because I that's all you need to know

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 28 centimeters, and the length of the other leg is 22 centimeters. The student incorrectly says that the length of the hypotenuse is 7.1 centimeters. Answer parts a and b a. . Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.
A. The length of the hypotenuse of the right triangle to the nearest tenth of a centimeter
b. What mistake might the student have made?
A.
she found the difference of the square roots of the lengths of the legs.
B.
she found the sum of the square roots of the lengths of the legs.
C.
she took the square root of the sum of the lengths of the legs.
D.
she took the square root of the difference of the lengths of the legs.
Click to select your answer and then click Check Answer.
(Round to the nearest tenth as needed.)

Answers

Answer:

35.6cm

Step-by-step explanation:

it is quite confusing between choice b and c of what the student did wrong.since I'm not understanding it well it just said c but my point is thay student took the sum of the numbers which were the square roots and added and then found the square root and that was a mistake so she wasn't correct .and if I'm wrong also tell me good day.

You buy a pair of jeans for $32.00. The sales tax is 6%. How much will you have to pay?

Answers

Answer:

$33.92 ($1.92 in tax)

Step-by-step explanation:

% values are 1/100ths. 32.00/100=0.32. 0.32(6) = 1.92.

$32.00

+ $1.92

=$33.92 total.

Aziz purchesis 4 2/8 feet of fabric he used 1/5 of fabric to make a tote bag how much fabric will aziz have left over?

Answers

Answer:

3/20

Step-by-step explanation:

Fabric left over = total fabric purchased - total fabric used to make a tote bag

total fabric used to make a tote bag = [tex]4\frac{2}{8}[/tex] × [tex]\frac{1}{5}[/tex] =

[tex]\frac{34}{8}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{34}{40}[/tex]

fabric left over = 1 - 34/40

40 / 40 - 34/40 = 6 /40

To transform to the simplest form. divide both the numerator and the denominator by 2

3/20

I'll give 20pts and Brainliest!
Gavin is subdividing land into two plots, where one plot is in the shape of a square and the other plot is in the shape of a rectangle. The square plot of land has a side length of 6x³ feet, and the rectangular plot of land has a length of 3x⁵ feet and a width of 7x² feet. Use the properties of exponents to determine the expression that represents the area for each plot of land. Then analyze which plot of land has a larger area if x is 3.

Answers

The square plot of land has a larger area when x is 3.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the area of the square plot, we can use the formula for the area of a square: A = [tex]s^2,[/tex] where s is the length of a side of the square. In this case, the side length is 6x³ feet, so the area of the square plot is:

A = [tex](6x³)^2 = 36x^6[/tex]square feet

To find the area of the rectangular plot, we can use the formula for the area of a rectangle: A = lw, where l is the length of the rectangle and w is the width. In this case, the length is 3x⁵ feet and the width is 7x² feet, so the area of the rectangular plot is:

A = (3x⁵)(7x²) = 21x⁷ square feet

To analyse which plot of land has a larger area if x is 3, we can substitute x = 3 into the expressions for the areas of the plots:

Area of square plot[tex]= 36(3)^6[/tex] [tex]= 11664[/tex] square feet

Area of rectangular plot =[tex]21(3)^7 = 5103[/tex] square feet

Therefore, the square plot of land has a larger area when x is 3.

To learn more about Algebraic expression from given link.

brainly.com/question/28884894

#SPJ1

How many bases are there in the triangular pyramid shown below?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a pyramid, there is only one base that touches the ground.

However, in a prism, there are two bases, two of the same ends.

The front of the name of the shape also hints:

If it's an octagonal prism, there are two octagon bases.

If it's a hexagonal pyramid, there is one hexagon base.

LAST QUESTIONS ABT THIS ASSIGNMENT, DUE IN 6 MINS!!

Answers

Answer: 168

Step-by-step explanation: just multiply base times length times height

Consider that the height of the given pyramid is 11 ft. What is the volume?

Answers

Answer: 308

Step-by-step explanation:

i guessed and got it right lol sorry but no explanation

Complete both and will give brainliest

Answers

Answer:

1)12 people voted

2)60mph

Step-by-step explanation:

Answer:

1. 12 members voted because 25% of 48 is 12

2. 60 miles because 420 divided by 7 is 60

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

V = 612.3

Step-by-step explanation:

d = 6

r = 3

Volume of a cylinder:

V = πr²h

V = 3.14(3²)(20)

V = 3.14(9)(20)

V = 565.2

Volume of a cone:

V = πr²(h/3)

V = 3.14(3²)(5/3)

V = 3.14(9)(5/3)

V = 47.1

Combined:

565.2 + 47.1

612.3

Matrix Math! Find the Product
AxA^T

A
B
C
D

Answers

The answer is A.

Use Desmos Matrix Calculator. Enter you Matrix then the equation.

Ruth buys 19 identical tickets for £280.25.
Estimate the cost of one ticket.

Answers

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

plz mark me as brainliest

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

The cost of one ticket is $14.75

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

please mark as brainliest

Bacteria are the most common example of exponential growth. Select a number between 2 and 10 to represent the hourly growth rate of a certain bacteria. For example, selecting the number 8 would mean that the amount of bacteria will be 8 times greater after every hour.
a. Suppose you start with one single bacterium. Make a table of values showing the number of bacteria that will be present after each hour for the first six hours using the hourly growth rate that you selected. Then determine how many bacteria will be present once 24 hours have passed.
b. Explain why this table represents exponential growth.
c. Using this example, explain why any nonzero number raised to a power of zero is equal to one.
d. Write a rule for this table.
e. Suppose you started with 100 bacteria, but they still grew by the same growth factor. How would your rule change? Explain your answer.

Answers

Answer:

Step-by-step explanation:

Answer:

Answers are below

Step-by-step explanation:

Hour 0 1 bacterium

Hour 1 3 bacterium

Hour 2 9 bacterium

Hour 3 27 bacterium

Hour 4 81 bacterium

Hour 5 243 bacterium

Hour 6 729 bacterium

After 24 hours, the number of the bacterium will reach 282,429,536,481.

B) This table represents exponential growth because of the number of bacterium always being multiplied by 3.

C) The reason that any number to the zero power is one is that any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.

D) Y = 1 + 3 to the power of x

E) The rule would change by having all of the numbers multiplied by 100 since there is 100 bacterium at Hour 0.

Mrs. Cravens did an experiment where she recorded the number of minutes each student studied and the score the student made on the test. She calculated a correlation coefficient of r = 0.84. Which best describes the association between the number of hours spent studying and the test score, based on Mrs. Craven's findings?

A: Weak Negative
B: Strong Negative
C: Weak Positive
D: Strong Positive

Answers

D: Strong positive because 0.84 it close to 1 and is not a negative association

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

true

Step-by-step explanation:

a rhombus always has opposing parallel sides, qualifying it as a parallelogram

Answer:

true

Step-by-step explanation:

all rhombuses have opposite sides equal and parallel and opposite angles are congruent

Find x. Please help with This problem!!!

Answers

Step-by-step explanation:

7+2x-2 = 4x -3

5= 2x -3

2x = 8

x = 4

Find the area of the parallelogram shown below.
5
4
square units

Answers

Length times width and that will get you an answer

Answer:

20 sq un

Step-by-step explanation:

To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.

Have a great day!

Calcular la magnitud de la velocidad angular y el período de
una rueda que gira con una frecuencia de 1200 rpm.

Answers

Answer:

The magnitude of the angular velocity is 125.66 rad / s and the period is 0.05 seconds.

Step-by-step explanation:

The computation of the magnitude and the period is given below:

First we determine the angular velocity that transforming the revolutions per minute,

So,

ω = (1200 rev / min) × (2π rad / rev) × (1 min / 60s)

ω = 125.66 rad / s

Now, the period is

ω = 2π ÷ T

T = 2π ÷ (125.66 rad / s)

T = 0.05 s

Hence, the angular velocity has a value of 125.66 rad / s and the period is 0.05 seconds.

what is x in the expression 5x +7

Answers

Answer:

-1.4

Step-by-step explanation:

5x+7=0

5x=-7

x= -1.4

Answer:

1.4

Step-by-step explanation:

5x + 7

x +[tex]\frac{7}{5}[/tex]

x = 1.4

Which inequalities have 4 as a solution? 1. X-85.2 <_ 14.6 4. 8x <_ 128 2. X/6> -23 5. X+4.7>21.6 3. X-43<37 Put the numbers together to form the code.

Answers

Given:

The inequalities are:

1. [tex]x-85.2\leq 14.6[/tex]

2. [tex]\dfrac{x}{6}>-23[/tex]

3. [tex]x-43<37[/tex]

4. [tex]8x\leq 128[/tex]

5. [tex]x+4.7>21.6[/tex]

To find:

The inequalities that have 4 as a solution.

Solution:

We need to put [tex]x=4[/tex] in each inequality, to check whether it is a solution or not.

1. The inequality is

[tex]x-85.2\leq 14.6[/tex]