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 of the triangles is equal to 4 units. What is the area of the remaining octagon?

Answers

Answer 1
Answer:

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 * ( (1)/(2) * 4 * 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)


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An angle measures 47°. What are the measures of the angle’s complement and supplement?

Answers

we know that

Two angles are supplementary if the sum of their angles is equal to 180 degrees


and


Two angles are complementary if the sum of their angles equals 90 degrees

so

if an angle measures 47°

then

Angle Supplementary=180-47

Angle Supplementary=133°


Angle Complementary=90-47

Angle Complementary=43°

Complementary equal 90 degrees. 
90-47=43 degrees
Supplementary equal 180 degrees.
180-47=133 degrees

A

I need 37-41
plz help​

Answers

Answer:

no 41=

x= -4

Step-by-step explanation:

Answer:

38.) x < -3

39.) b > or = 1

40.) w < or = -9

41.) x = -4

Step-by-step explanation:

38.)   x + 5 < 2

            -5   -5

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

x < -3

39.)    b - 2 > or = -1

            +2           +2

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

         b > or = 1

40.)    w + 6 < or = -3

              -6           -3

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

         w < or = -9

41.)    4x + 5 = -11

              -5      -5

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

      4x/-16 = -16/-16

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

     x = -4

PICK me for BRAINLIEST         

Simplify the expression.

-p+3+2p-2p

Answers

 (3-2p)(2p-3) Final result : (3 - 2p)2 • -1 Step by step solution :Step  1  : 1.1    Rewrite  (2p-3)  as (-1) •  (3-2p) Multiplying Exponential Expressions :

 1.2    Multiply  (3-2p)  by  (3-2p) 

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (3-2p)  and the exponents are :
          1 , as  (3-2p)  is the same number as  (3-2p)1 
 and   1 , as  (3-2p)  is the same number as  (3-2p)1 
The product is therefore,  (3-2p)(1+1) = (3-2p)2 

Final result : (3 - 2p)2 • -1

this is what i learned in school hope you understand
Combine Like Terms:=−p+3+2p+2p=(−p+2p+2p)+(3)=−p+3

Word form of 53,200.4

Answers

The word form of 53,200.4 would be fifty-three thousand, two hundred and four tenths.

Now remember, to say a number in a decimal in word form, you must remember the names for each placement.

.1 the one would be in the tenths

.01 the one would be in the hundredths; and

.001 the one would be in the thousandths.

fifty three thousand two hundred and four

What is 1 1/8 in simplest form

Answers

It is in the simplest form you can't divide anything by one really
11/8 is just  like 11 divide by 8 so it would be 1 and 3/8 

Please answer theses division problems!! 9 divided by 3/7 12 divided by 3/4 3/4 divided by 1/12 4/7 divided by 3/14 6 divided be 3/5 and 9/10 divided by 3/7 .

Answers

9 /  (3)/(7) =  9 * (7)/(3)  = 21

12 /  (3)/(4)  = 12 *  (4)/(3) =16

(3)/(4) /  (1)/(12) =  (3)/(4) *  12 = 9

(4)/(7) /  (3)/(14) =  (4)/(7) *  (14)/(3) =  (8)/(3) = 2 (2)/(3)

6 /  (3)/(5) = 6 *  (5)/(3) = 10

(9)/(10) /  (3)/(7) =  (9)/(10)*  (7)/(3) =  (21)/(10) = 2  (1)/(10)