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
Bailee had a gross income of $2358.33 during each pay period in 2009. If she got paid monthly, how much of her pay was deducted
wariber [46]
FICA is 6.2% of your gross compensation. To calculate the amount deducted for FICA, determine the gross compensation in 2009. In this problem, Bailee's gross income per month is $2358.33.

Yearly income:

$2358.33 * 12 months = $28,299.96

Thus, the FICA deduction is $1754.60
8 0
3 years ago
Read 2 more answers
Mrs. Hinojosa head 75 ft of ribbon if each of the 18 students in her class gets an equal length of ribbon how long would each pi
Helen [10]

Answer:

4 1/6 ft

Step-by-step explanation:

Since each of the 18 students gets an equal length of ribbon, we need to divide the 75 ft of ribbon into 18 equal parts.

75/18= 4 1/6

Each student gets 4 1/6 ft of ribbon

4 0
3 years ago
In this triangle, side AT = 24. Please give the value for the sine, cosine, and tangent for this diagram (Which is the marked an
sashaice [31]
The value  of the sine, cosine and tangent of the figure will be found as follows:
a] Sine
sin x=(opposite)/(hypotenuse)
opposite=7
hypotenuse=25
thus:
sin x=  7/25  

 b] Cosine
cos x=adjacent/hypotensue
adjacent=24
hypotenuse=25
cos x=24/25

Tangent
Tan x=opposite/adajcent
opposite=7
adjacent=24
thus
tan x=7/24

5 0
3 years ago
What is the rate in change?
stepan [7]

Answer:

A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Jordan bought a new sketchbook with 150 pages in it for art class. Each day, he uses 2 pages for assignments and sketchings. Whi
Alexeev081 [22]

Answer:

B.

Step-by-step explanation:

He uses two pages each day so they would be negative two and he had positive 150 pages, so the answer would be B.

8 0
2 years ago
Other questions:
  • Solve the equation for y<br><br> 6y+x=8
    6·2 answers
  • Can I have workings out plz x
    11·1 answer
  • if a person wants to tripple their salary in five year, when they already makes 19,000 their first year and 6500 more than the p
    6·1 answer
  • Rationalize the denominator and simplify<br> 12/√7+2
    10·1 answer
  • True or false:
    13·2 answers
  • Write the expression as a square of a binomial: 9/25a^6b^2-a^4b^4+25/36a^2b^6
    15·1 answer
  • Gretchen made a paper cone to hold a gift for a friend. The paper cone was 14 inches high and had a
    10·2 answers
  • GINVING BRAINLIST
    7·1 answer
  • |4x+8|&gt; 2<br> what is the answer
    9·2 answers
  • one angle has a measure that is less than 15 than two times a number. a second angle is three times the number. the angles are c
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!