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

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.

Simple Composite Figures Question. Find The Area Of The Shape.
Simple Composite Figures Question. Find The Area Of The Shape.

Related Questions

What is the equation of the line that passes through (1, -2) and (-1, 4)?

Answers

Answer:

Hi! The answer to your question is y=-3x+1

Step-by-step explanation:

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Hope this helps!!

- Brooklynn Deka

Y=-3x+1 hope that help you

I need help on multi step Pythagorean theorem

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I hope u understand the answer if it u didn’t understand it i will explain the answer again

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!!!!!

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Answer:

Function 1 rate of change: 1/2

Function 2: 5/6

Function 2 has the greatest rate of change

Step-by-step explanation:

Determine if the graph of the function opens up or down. Explain how you know

Answers

Answer:

Opens up

Step-by-step explanation:

x^2+2x-15

Standard form: ax^2+bx+c

If a<0, then the graph opens down

If a>0, then the graph opens up.

In this case: 1x^2+2x-15

a=1

Since 1>0 then the graph opens up.

Find the distance between the points (0, 4) and (10, 0).

Answers

Answer: there is no picture I will help if you repost it ? Brainliest if you can I need 4 more to rank up

Step-by-step explanation:

The graph of x+y= -9 is shown. Use the Add Arrow
tool to graph the equation y = 2x + 3 on the same
coordinate plane. Use the Add Point tool to plot the
solution to this system of linear equations.

Answers

Answer:

Step-by-step explanation:

y = -x - 9

y = 2x + 3

Find point of intersection

2x + 3 = -x - 9

x = -4

Intersection: (-4,-5)

What is the variable of 1 + 4i = 5i + 10

Answers

Answer:

i = -9

Step-by-step explanation:

4i-5i =10 -1

-i= 9

i=-9

Draw a line representing the "rise " and a line representing the "run" of the line. State the slope of the line in simplest form .

Answers

Answer:

4/5

Step-by-step explanation:

you rise up from the line where it is exactly going throw another line. (like it would make a point) fine another time where it happens and rise count up or down and count up and run count left or right. then you'll have a fraction

The equation of the line shown in the graph is y = ?.

Answers

equation if the line for the graph is
y = -2x+1

Megan has $25 to spend at the movies. If her ticket cost $8.75 and she already
purchased a drink for $3.50, how much does she have left to spend on snacks?

Answers

If you add the price of the ticket and drink it comes out to 12.25, subtract from 25 and the answer is 12.75

Answer:

$12.75

Step-by-step explanation:

8.75 + 3.50 = 12.25

25 - 12.25= 12.75

Will give brainliest. Pls help. The volume of a cylinder is 300 feet^3. Find the volume of a cone and a sphere that have the same height and radius as the cylinder.

Cone:
Sphere:​

Answers

Answer:

Cone: 100ft^3

Sphere: 200ft^2

Step-by-step explanation:

Firstly, the volume of a cone is 1/3 of the volume of the cylinder. It's literally in the formula:

[tex]V_{cone} = \frac{h \pi r^2}{3}\\\textrm{As you can notice, }\pi r^2\textrm{ is the area of the base, like in the cylinder formula}\\[/tex]

So we can just instantly tell that the volume of the cone is 100feet^3.

Not for the sphere - we can assume that if the height is the same, it's equal to two radiuses, or simply - to the diameter. Let's use the formula for the volume of a sphere, but substitute one of the radiuses with [tex]\frac{h}{2}[/tex]

[tex]V_{sphere} = \frac{4\pi r^3}{3} = \frac{2\pi r^2 h}{3} = \frac{2h\pi r^2}{3} = 2\cdot V_{cone}[/tex]

So we can instantly tell that the volume of the sphere is 200feet^3

Pete runs an ice cream stand that also sells snow cones served in paper cones. The paper cones he usually uses have a radius of 3 inches and a height of 4 inches, but his supplier is out of them. As a replacement, he purchases paper cones with a radius of 4 inches and a height of 3 inches. How do the volumes of the original and replacement cones compare? A. The replacement cone holds 3π cubic inches more than the original. B. The original and replacement cones have the same volume. C. The replacement cone holds π cubic inches more than the original. B. The original cone holds π cubic inches more than the replacement.

Answers

Answer:

The correct answer is;

The replacement cone holds 4·π cubic inches more than the volume of the original cone  

Step-by-step explanation:

The given measurements of the cones are;

The radius of the original cone, r₁ = 3 inches

The height of the original cone, h₁ = 4 inches

The radius of the replacement cone, r₂ = 4 inches

The height of the replacement cone, h₂ = 3 inches

The volume of a cone, V = (1/3)·π·r²·h

The volume of the original cone, V₁ = (1/3)·π·r₁²·h₁

∴ V₁ = (1/3) × π × (3 in.)² × 4 in. ≈ 37.7 in.³

The volume of the replacement cone, V₂ = (1/3)·π·r₂²·h₂

∴ V₂ = (1/3) × π × (4 in.)² × 3 in. ≈ 50.27 in.³

The ratio of the volume of the two cones is given as follows;

Volume ratio = V₁/V₂

∴ Volume ratio = (1/3) × π × (3 in.)² × 4 in. /((1/3) × π × (4 in.)² × 3 in.) = 3/4

The difference in volume, ΔV = V₂ - V₁ = (1/3) × π × ((4 in.)² × 3 in. - (3 in.)² × 4 in. = 4·π in.³

Therefore, the volume of the replacement cone is 4·π in.³ more than the volume of the original cone.

Find the lower quartile (Q1).

55, 60, 65, 95, 90, 75, 75, 80, 85, 80, 85, 85

Answers

Answer:

Hi! The answer to your question is 65

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

A rectangle has a perimeter of 100. Its length is 5a+225a+22 and its width is \frac{1}{2}\left(a+1\right)
2
1

(a+1). What is the value of a?

Answers

Possibly value of a would be 0

James earns 20 allowance every month and 30 for each a on his report card

PART A- Identify the independent and dependent variables

PART B- Write a function that describes the situation
f(x)

Answers

Answer:

Part A - the independant variable is the monthly allowance, and the dependent amount is the one that he has to get As for in order to receive it.

Part B - y = 30x + 20

Step-by-step explanation:

Part A; The independent variable is monthly allowance and the dependent variables is earns in report card.

Part B; The function for this situation is;

⇒ f (x) = 30x + 20

Where, x is number of report card.

What is mean by Function?

A relation between a set of inputs having one output each is called a function.

Given that;

James earns 20 allowance every month.

And, Earn 30 for each a on his report card.

Now,

Let number of report card = x

Then, We can formulate the equation as;

⇒ f (x) = 30x + 20

Where, x is number of report card.

Hence, The independent variable is monthly allowance and the dependent variables is earns in report card.

Thus,

Part A; The independent variable is monthly allowance and the dependent variables is earns in report card.

Part B; The function for this situation is;

⇒ f (x) = 30x + 20

Where, x is number of report card.

Learn more about the function visit:

https://brainly.com/question/28793267

#SPJ2

45°
9
X
Find the value of x. Write your answer in simplest form.

Answers

9514 1404 393

Answer:

  x = (9/2)√2 = 4.5√2

Step-by-step explanation:

We know the hypotenuse of an isosceles right triangle is √2 times the length of the side:

  9 = x·√2

  9√2 = 2x . . . . multiply by √2

  (9/2)√2 = x . . . divide by 2

Solve the equation lol 54x+6x-30=7(x+2)+3x

Answers

Answer: 22/25

Step-by-step explanation:

54x+6x-30=7(x+2)+3x

60x-30=7(x+2)+3x

60x-30=7x+14+3x

60x-30=10x+14

60x-10x-30=14

60x-10x=14+30

50x=14+30

50x=44

x=22/25


Find the slope of each line.
plsssss help

Answers

the slope of this line is either A) 3 or C) 1

I think its 3

Help me fast please

Answers

Answer:

The answer is the third option, 20.

20
It proportional
12/15 = x/25
Solve for x
4/5 = x/25
100 = 5x
20 = x

Help this is due in 2 minutes

Answers

Answer:

6% growth

Step-by-step explanation:

The equation =

A = 2300(1.06)⁷

What does 0.06 represent in the equation?

The formula for Exponential growth =

y = a (1 +r)^t

Where

y = Size after time t

a = Initial size

r = Growth rate in Percentage

t = Time t

Equating both Equations together

y = a (1 +r)^t = A = 2300(1.06)⁷

1 + r = 1.06

r = 1.06 - 1

r = 0.06

Converting to percent

r = 0.06 × 100

r = 6% growth rate

how do i solve for x and y?

Answers

Answer:

X= 8 and y= 138

Step-by-step explanation:

IF ANS IS CORRECT COMMENT BACK FOR EXPLANATION

PLZ helpppp
Explain where you would draw all lines of symmetry for each shape

Answers

Answer:

AT and H just straight down the middle from top to bottom. The x shape, from one point to is opposit point (an point works i think), and the heart, down the middle top to bottom, and the H can go middle from left to right

Step-by-step explanation:

Is 0.8 bigger than 46.91?

Answers

Answer:

no

Step-by-step explanation:

no it’s not 0.8 isn’t even bigger than 1

line e has a slope of 9/8. line f is parallel to line e. what is the slope of line f?

Answers

Answer: 9/8

Step-by-step explanation:

Carmen said that the probability of an event occurring is 100. Is this probability possible?

Answers

Answer:

maybe

Step-by-step explanation:

plz help 20 pints will give crown no links or wrong or trolling answers please

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Answer:

Rock, Pop, Metal, Country

Step-by-step explanation:

Isn't it just the least probability of picking a certain CD to the most probability. Shows it all in the graph, I may be wrong.

Find the perimeter of ten digits to the nearest hundredth. (I’ll mark brainliest if correct)

Answers

18.85 + 10 + 8 + 6 = 42.85

pls help me with this :/. this is due in like 5 mins!!! (i’ll mark brainiest if u don’t leave a link just pls help me!)

Answers

find food that’s far away! sharks are very good at that
answering so other person can get brainliest

What is the circumference of a circle with a radius of 5.4 ft? Use 3.14 for π and round your answer to the nearest hundredth

Answers

Answer:

91.61

Step-by-step explanation:

A=πr2=π·5.42≈91.60884

hope this helps give me crown

If kobe had 30 girls and Shaq had 20 girls... How many more girls does Kobe have than Shaq?

Answers

Answer:

10 more shawties

Step-by-step explanation:

30-20 = 10

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