1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
snow_lady [41]
3 years ago
15

How do you find the area of the shaded region

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0

well, first off, let's notice that we have a trapezoid with a rectangle inside it, so the rectangle is really "using up" area that the trapezoid already has.

now, if we just get the area of the trapezoid, and then the area of the rectangle alone, and then subtract that area of the rectangle, the rectangle will in effect be making a hole inside the trapezoid's area, and what's leftover, is the shaded section, that part the hole is not touching.

\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h&=height\\ a,b&=\stackrel{parallel~sides}{bases} \\\cline{1-2} h&=8\\ a&=16\\ b&=8 \end{cases}\implies A=\cfrac{8(16+8)}{2}\implies A=96 \\\\\\ \stackrel{\textit{area of the rectangle}}{(5\cdot 3)\implies 15}~\hfill \stackrel{~\hfill \textit{shaded area}}{\stackrel{\textit{trapezoid}}{96}~~ - ~~\stackrel{\textit{rectangle}}{15}~~ = ~~81}

You might be interested in
Use the system of equations to answer the questions below. <br> 4x+2y=-8 <br> 2x+y=4
AnnZ [28]

Answer: Both the equation are not equal. The first equation is equal to (0, 4) and (2, 0) The second equation is equal to (0, -0.5) and (-0.25, 0)

Step-by-step explanation:

5 0
3 years ago
Use the minimum and maximum data entries and the number of classes to find the class width, the lower class limits, and the uppe
deff fn [24]

Answer:

The  class width is  C_w  \approx 13

Step-by-step explanation:

From the question we are told that

 The  upper class limits is max  =  121

  The  lower class limits is  min  =  14

   The number of classes is  n  =  8  \ classes

The class width is mathematically represented as  

       C_w  =  \frac{max  -  min}{n  }

substituting values

       C_w  =  \frac{121 -  14}{8  }

       C_w  = 13.38

      C_w  \approx 13

Since

     

5 0
3 years ago
What is 11.52/128 show your work
grandymaker [24]

Answer:

The answer is

<h2>9/100</h2>

Step-by-step explanation:

11.5/128

First convert the decimal to an improper fraction

That's

11.52 =  \frac{288}{25}

So we have

\frac{288}{25}  \div 128

Change the division sign to multiplication sign and reverse the second number

That's

\frac{288}{25}  \times  \frac{1}{128}

Simplify

\frac{288}{3200}

Divide through by 32

The final answer is

\frac{9}{100}

Hope this helps you

6 0
4 years ago
Find vertex of this function ​
Lilit [14]

Answer:

Step-by-step explanation:

(-1,-9)

6 0
3 years ago
HELP PLEASE math problem help!!
Fantom [35]

Answer:

Ok take the root of both side and solve

So the Answer is x = 3i, - 3i Hope this helps :)

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Other questions:
  • Wendy is arranging books on the bookshelves in the school library. The total number of books she arranges is given by the equati
    6·2 answers
  • Angle x is (2n+12) and angle y is (3n+18). Find the measure of angle x
    7·1 answer
  • How many different ways can a chairperson and an assistant chairperson be selected for a research project if there are 7 scienti
    8·1 answer
  • Non-
    5·1 answer
  • You have been hired by a company to write a report on Internet companies’ Wi-Fi ranges. They have requested that all values be r
    10·1 answer
  • danielle spent $35 on a magazine and some notepads. if the magazine cost $3 and each notepad cost $4 then how many notepads did
    12·1 answer
  • What is the equation of the line through the points (3,2), (8,5), (13,8), and (18,11)
    9·1 answer
  • Solve. <br> 5-(x-6)=-7+3(-x+2)
    15·2 answers
  • ¿Cuál es la mediana de 9,3 y 6,8 ????? or what is the median of 9.3 and 6.8?
    15·1 answer
  • Help question 7 plz will give Brainlyest
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!