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natali 33 [55]
4 years ago
5

1 over the square root of 8 = 4^(m − 2)?

Mathematics
1 answer:
andrew11 [14]4 years ago
7 0

Answer:

5.5

Step-by-step explanation:

\frac{1}{ \sqrt{8} }  =  {4}^{(m - 2)}  \\

Squaring both sides

\frac{1}{8}  =  {4}^{2(m - 2)} \\   \frac{1}{8} =   {4}^{2}   \times  {4}^{(m - 2)}  \\  \frac{1}{8 \times  {4}^{2} }  =  {4}^{(m - 2)}  \\   \frac{1}{8 \times 16}  =  {4}^{(m - 2)}  \\  \frac{1}{128}  =  {4}^{(m - 2)}  \\  log_{4}(128)  = (m - 2) \\  \frac{7}{2}  = m - 2 \\ m =  \frac{11}{2}  = 5.5

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Need to know the area of the composite figure.
Deffense [45]

Answer:

  51 m^2

Step-by-step explanation:

The shaded area is the difference between the area of the overall figure and that of the rectangular cutout.

The applicable formulas are ...

  area of a triangle:

     A = (1/2)bh

  area of a rectangle:

     A = bh

  area of a trapezoid:

     A = (1/2)(b1 +b2)h

___

We note that the area of a triangle depends only on the length of its base and its height. The actual shape does not matter. Thus, we can shift the peak of the triangular portion of the shape (that portion above the top horizontal line) so that it lines up with one vertical side or the other of the figure. That makes the overall shape a trapezoid with bases 16 m and 10 m. The area of that trapezoid is then ...

  A = (1/2)(16 m + 10 m)(5 m) = 65 m^2

The area of the white internal rectangle is ...

  A = (2 m)(7 m) = 14 m^2

So, the shaded area is the difference:

  65 m^2 -14 m^2 = 51 m^2 . . . . shaded area of the composite figure

_____

<em>Alternate approach</em>

Of course, you can also figure the area by adding the area of the triangular "roof" to the area of the larger rectangle, then subtracting the area of the smaller rectangle. Using the above formulas, that approach gives ...

  (1/2)(5 m)(16 m - 10 m) + (5 m)(10 m) - (2 m)(7 m) = 15 m^2 + 50 m^2 -14 m^2

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7 0
4 years ago
Helpppppp show your work
Tpy6a [65]

Answer:

-5/3

Step-by-step explanation:

Do PEMDAS

8 - 11 = -3

-3 ^ 3 = -27

-(-27) = 27

I-14I = 14

3 x 14 = 42

27 - 42 = -15

2^4 = 16

16 - 7 = 9

-15/9 = -5/3

6 0
1 year ago
Read 2 more answers
I need help with number 1
zhenek [66]
OK.......
A represents = 0.53
B represents = 0.55
C represents = 0.59
I believe that is right
H0P3 It H3LPS :) <span />
4 0
3 years ago
Which of the following is not a Pythagorean triple?
zavuch27 [327]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Plz fill this out. in trying to pass. will give best answer​
yaroslaw [1]

Answer:

AB/ZX and CB/YX and AC/ZY

Step-by-step explanation:

Hope this helps :)

6 0
2 years ago
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