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
Airida [17]
3 years ago
13

Determine the area of the figure on the coordinate grid. Round to the nearest hundredth if needed

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

Answer:

  • 72 square units

Step-by-step explanation:

Consider the figure as the difference of a trapezoid and a rectangle.

<u>Area of the trapezoid:</u>

  • a = 3 - (-2) = 5 units
  • b = 9 - (-6) = 15 units
  • h = 5 - (-5) = 10 units
  • A = (a + b)h/2 = (5 + 15)(10)/2 = 100 square units

<u>Area of the rectangle:</u>

  • l = 5 - (-2) = 7 units
  • w = -1 - (-5) = 4 units
  • A = lw = 4*7 = 28 square units

<u>Area of the figure:</u>

  • 100 - 28 = 72 square units
You might be interested in
Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number o
Hitman42 [59]

Answer:

The system of equations are

x+y=557

\frac35x+\frac56 y=407

The total pages in shorter book is 245

The total pages in longer book is 312

Step-by-step explanation:

Given that,

Scott has read 407 of the total number of 557 pages, which \frac35 of the shorter book and \frac56 of longer book.

Total number of pages of shorter book be x and longer book be y.

Then,

\frac35 page of the shorter book  =\frac35 x

\frac56 pages of the longer book = \frac56y

So, he has read =\frac35x+\frac 56y

Total number of pages of both book is = x+y

According to the problem,

x+y=557.........(1)

\frac35x+\frac56 y=407.......(2)

We can write equation (2) as

\frac35x+\frac56 y=407

\Rightarrow \frac{18x+25y}{30}=407

\Rightarrow {18x+25y}=407\times 30

\Rightarrow {18x+25y}=12,210......(3)

Now 18 times of equation (1) subtract from equation (3)

   18x+25y=12210

   18x+18y=10026

-        -        -

_______________

        25y-18y=12,210-10,026

     ⇒7y=2,184

     \Rightarrow y=\frac{2184}{7}

     ⇒y= 312

Plug y=312 in equation (1)

x+312=557

⇒x=557-312

⇒x=245

The total pages in shorter book is 245

The total pages in longer book is 312

5 0
3 years ago
Alexander is a stockbroker. He earns 13​% commission each week. Last​ week, he sold ​$5,300 worth of stocks. How much did he mak
yKpoI14uk [10]

Answer:

$30,420

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The total cost to rent a row boat is $14 times the
Artyom0805 [142]

Answer:

is you rent the boat for 14 dollars for an hour then I think it would be 12 hours you could use the boat for I'm not sure

7 0
2 years ago
Please guys this is easy, I need help ASAP! (Giving brainliest)!
jasenka [17]

Answer:

4a. 13

4b. -4

Step-by-step explanation:

2x-6/5 = 4 (Muti each side by 5)

2x-6 = 20

2x = 26 (Divide each side by 2)

x = 13

7- 2x/4 = 9

-2x/4 = 2 (Muti each side by 4)

-2x = 8 (Divide each side by -2)

x = -4

5 0
2 years ago
Which expression is equivalent to 6(4<br> + 9)?
agasfer [191]

Answer: 78

Step-by-step explanation:

6(4+9)

use foil to distribute the 6 to the 4 and 9

6×4 + 6×9

24 + 54

⇒ 78

5 0
1 year ago
Read 2 more answers
Other questions:
  • Nikki by seven packs of silly bands from the store. After school the next day she decides to buy three more packs to give to her
    5·1 answer
  • Order pairs (x,y) that is the solution to the equation.<br> 5x-y=4<br> (x,y) =
    8·1 answer
  • A gumball machine has 140 red gumballs if the red gumballs are 25% of the total number of gumballs how many gumballs are in the
    11·2 answers
  • 6.45 t0 the nearest whole number
    14·2 answers
  • Use the quadrant system to find the area of the polygon
    14·1 answer
  • Subtract the following polynomials
    7·1 answer
  • Screen-printing a batch of shirts requires 3 minutes per shirt in addition to 19.87 minutes of initial set-up time. How long doe
    13·1 answer
  • The cost of 4 kg of kale and 1.5 kg of beetroot is £12.20.
    7·1 answer
  • What is the equation of the graph below?
    13·2 answers
  • 1: Triple the quantity of a number “n” plus 4 equals 27. what would the expression look like?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!