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Dimas [21]
3 years ago
13

A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sur

e to
include the correct unit in your answer.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0
Answer- 47m

explanation- the total area of the rectangle is 56 so you would subtract the area of the triangle, which is 9.
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The scale of a map says that 6 cm represents 15 km.
atroni [7]
37.5 km is equal to 15 cm
5 0
3 years ago
During a four-week period, you worked the following hours: Week 1- 363 /8 hr; Week 2- 411 /4 hr; Week 3- 401 /2 hr; Week 4- 383
Dafna11 [192]
The average number of hours can be calculated using the following rule:
average number of hours = total number of hours / total number of weeks

total number of hours = 36 3/8 + 41 1/4 + 40 1/2 + 38 3/8 = 313/2 hours
total number of weeks = 4 weeks

Average number of hours per week = (313/2) / (4) = 39 1/8 hour

Based on the above calculations, the correct answer is:
C. 39 1/8 hour
4 0
2 years ago
• Write an expression that is equivalent to 3(7 + x).<br> 3(7 + x)<br> +<br> ?<br> 2
maksim [4K]

Answer:

21+3x

Step-by-step explanation:

Expand this:

3(7+x)

So it becomes:

21+3x

3 0
3 years ago
Read 2 more answers
Expand the given power by using Pascal’s triangle. (9a - 10b)^6
xxMikexx [17]

Answer:

531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

Step-by-step explanation:

                     1                                n=0

                  1      1                            n=1

                 1   2   1                           n=2

                1  3  3  1                          n=3

              1  4  6  4   1                      n=4

             1  5 10 10 5  1                    n=5

           1 6 15 20 15 6 1                   n=6

This is where n is the exponent in

(x+y)^n.

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

Now we want to expand:

(9a-10b)^6 or we we can rewrite as (9a+(-10b))^6.

Let's replace x with (9a) and y with (-10b) in the expansion:

(x+y)^6=1x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+1y^6

((9a)+(-10b))^6

=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6

Let's simplify a bit:

=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6

=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6

8 0
3 years ago
Zeina has seven times as many books as ali if zeina gave ali 15 books they would eash have the same number of books how many boo
ELEN [110]

Step-by-step explanation:

20 each because it's like tgat

5 0
3 years ago
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