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
lukranit [14]
4 years ago
10

What is the area of rectangle DEFG shown below.

Mathematics
1 answer:
Pie4 years ago
5 0

Answer:

  60 square units

Step-by-step explanation:

You can get there a couple of ways.

One way is to consider the enclosing rectangle, which is 9 units by 11 units, so has an area of 99 square units. From that will be subtracted two triangles having height 2 and width 6, and two triangles having height 3 and width 9. Thus the net area in rectangle DEFG is ...

  99 - 2·6 - 3·9 = 60 . . . square units

__

Another way is to find the lengths of each of the sides and multiply those.

  Short side = √(2²+6²) = 2√10

  Long side = √(3²+9²) = 3√10

area = short side × long side = (2√10)(3√10) = 6·10 = 60 . . . square units

You might be interested in
A triangle has a 43 degree angle and a 94 degree angle what is the the 3 angle
nadezda [96]
It 43 degrees You take 94+43= 137 180- 137= 43
4 0
3 years ago
Read 2 more answers
The mass of the particles that a river can transport is proportional to the fifth power of the speed of the river. A certain riv
vlada-n [284]

Answer: V = 5.22m/s

Step-by-step explanation:

Given that the mass of the particles is proportional to the fifth power of the speed. That is

M = k V^5

Where M = mass and V = speed

K = constant of proportionality

A certain river normally flows at a speed of 3 miles per hour

V = 3 mph

M = unknown

M = k × 3^5

M = 243K

K = M/243 ........(1)

What must its speed be in order to transport particles that are 16 times as massive as usual

M = 16M

Using same formula

I.e M = KV^5

16M = M/243 × V^5

M will cancel out

16 = V^5/243

V^5 = 3888

V = 5.22m/s

5 0
4 years ago
How many ways are there to fill the five committee positions?
JulsSmile [24]
 think 120.....5x4x3x2x1
6 0
3 years ago
An object has a mass of 5.0 kg. It’s 3.0 m off the ground and has a speed of 4 m/s. Calculate total mechanical energy of the obj
Vikki [24]
ME=(mv^2)/2+mgh  in this case:

ME=(5*4^2)/2+5*9.8*3

ME=40+147

ME=187 J
3 0
3 years ago
Please please help mane :((( give explanation plsss :(((
Deffense [45]

Answer:

2x - 1 > 4x + 6 \\ 2x - 2x - 1 > 4x - 2x + 6 \\  - 1 > 2x + 6 \\  - 6 - 1 > 2x \\  - 7 > 2x \\  \frac{ - 7}{2}  > x

I hope I helped you^_^

3 0
3 years ago
Other questions:
  • A large soup pot holds 12 gallons of soup. Jared has 1-pint containers of chicken broth. How many 1-pint containers of chicken b
    13·1 answer
  • The sum of two numbers is 15 their difference is 1 what is the numbers?
    8·1 answer
  • Which equation represents this number sentence?<br> Two less than one-fourth of a number is 10.
    10·1 answer
  • You are Buying snacks. you buy 8 apples and 2 juices. the juice costs $1.75 each. The total cost is 9.50. How much is 1 apple?
    15·1 answer
  • Determine the value of y if x is -11. <br> <img src="https://tex.z-dn.net/?f=y%3Dx%5E2-8" id="TexFormula1" title="y=x^2-8" alt="
    6·1 answer
  • 2x + 3 5x – 42 x = [ ? ]​
    11·2 answers
  • Please help will give brainliest (only 10.1)
    13·1 answer
  • I need help please thanks​
    9·2 answers
  • Help I’m so bad at math
    15·1 answer
  • Y is directly proportional to x 2 . If y = 12 when x = 2 find x when y = 300
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!