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
FrozenT [24]
3 years ago
7

Four congruent isosceles right triangles are cut from the 4 corners of a square with a side of 20 units. The length of one leg o

f the triangles is equal to 4 units. What is the area of the remaining octagon?
Mathematics
1 answer:
yanalaym [24]3 years ago
7 0

Answer:

368 sq. units.

Step-by-step explanation:

We have a square of side lengths 20 units and we cut four congruent isosceles right triangles from the corners of the square.

Now, the four isosceles right triangles have one leg equal to 4 units.  

Therefore, the area of four triangles = 4 \times ( \frac{1}{2} \times 4 \times 4) = 32 sq. units.

Now, we have the area of the given square is (20 × 20) = 400 sq. units.

Therefore, the area of the remaining octagon will be (400 - 32) = 368 sq. units. (Answer)

You might be interested in
There are 321 crayons in a box and 204 crayons on the floor. About how many fewer than 1,000 crayons are there? Estimate. Then s
zimovet [89]

Answer:

1000 - 300 - 200 = 500

Step-by-step explanation:

estimation

3 0
3 years ago
Simplify the expression. |5| - |-4|
mylen [45]

Answer:

1

Step-by-step explanation:

Absolute value means take what is inside and make it positive

|5| - |-4|

5 - 4

1

6 0
3 years ago
Please help with #6. How do I find all of the real zeros? Thank you!!!
Morgarella [4.7K]

I'm assuming you're referring to problem 6. You are asked to find the number of x intercepts or roots, which is another term for "zero". I prefer the term root or x intercept as "zero" seems misleading. Anyways, all we do is count the number of times the graph crosses the x axis. This happens 4 times as shown in the attached image below. I have marked these points in red. The graph can directly cross over the x axis, or it can touch the x axis and then bounce back. Either way, it is considered an x intercept.

<h3>Answer: there are 4 x intercepts (or 4 roots)</h3>

7 0
3 years ago
Read 2 more answers
Which ordered pair is the solution to the system of equations?
tiny-mole [99]

Answer:

You can use Gaussian Elimination.

Double both sides of the first equation and add the second equation.

6x + 4y = 8

5x - 4y = 3

---------------

11x      = 11

x = 1

5 - 4y = 3

-4y = -2

y = 1/2

Step-by-step explanation:

7 0
3 years ago
Three siblings are comparing their Ages Jenna is the youngest. Her brother Carl is 6 years younger than her . Her sister eve is
ryzh [129]

Answer:

hgjjjjjjjjjjjjjjjjggggg

Step-by-step explanation:

hggggggggggggggggggjgjjj

8 0
3 years ago
Other questions:
  • A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 88 feetfeet less than th
    5·1 answer
  • Which function has a range of y&lt;3?<br> y=3(2)<br> y=2(3)<br> O y=-(2)* +3<br> O y= (2)* - 3
    12·1 answer
  • Look at the question
    11·1 answer
  • Ken is going to throw a biased dice once.
    7·1 answer
  • 2.) 3(10x + 9) - 9(3x - 5)<br><br><br> SHOW WORK PLEASE
    13·2 answers
  • You have been contracted to replace a countertop in a kitchen. You will get paid $1,000 to do the job. You can complete the job
    15·1 answer
  • Describing How to Create a System of Equations
    10·1 answer
  • Convert the following fraction to a decimal.<br> 23/99
    12·1 answer
  • Simplest form please!
    8·1 answer
  • Kelly read 30 pages of her 300-page book in 6 hours. at this rate, how long will it take her to read the entire book?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!