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777dan777 [17]
3 years ago
6

Acellus Find the indicated side of the triangle. b 45° 28 a a = Enter

Mathematics
2 answers:
Crazy boy [7]3 years ago
5 0

Answer:

a = \frac{28}{\sqrt{2} }

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse} = \frac{a}{28} = \frac{1}{\sqrt{2} } ( cross- multiply )

a × \sqrt{2} = 28 ( divide both sides by \sqrt{2} )

a = \frac{28}{\sqrt{2} }

White raven [17]3 years ago
4 0

Answer:

a = 28 / √2

Step-by-step explanation:

Isosceles triangle therefor a = b

use pythagorean theorem

a² + a² = c²

2a² = 28²

a² = 28² / 2

Take the square root of both sides

a = 28 / √2

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Find the average rate of change between f(-7) and f(-1) in the function f(x)=x^2+2x -8
Viktor [21]

Solve the equation by replacing x with -7 and then -1.

Then subtract the two to find the difference and divide that by the difference between -7 and -1.

f(-7) = -7^2 + 2(-7) -8 = 49 -14 -8 = 27

f(-1) = -1^2 + 2(-1) -8 = 1 -2 - 8 = -9

Difference between 27 and -9 = -36

Difference between -1 and -7 = -6

Rate of change = -36 /-6 = 6

3 0
3 years ago
The solution to -2[1 - 4x] = 3x + 8 is
kvasek [131]

Answer:  " 14 " .

________________________

     →  " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

________________________

As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

________________________

Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

________________________

 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

________________________

 →  5x/5 = 10/5 ;

to get:

________________________

 →  x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

________________________

Note the given equation:

________________________

   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

___________________________________

5 0
3 years ago
Can anyone help me with this answer.
Kitty [74]

Answer:

<u>27 cm²</u>

Step-by-step explanation:

Shaded Area = Area ABCE - Area AED

  • S.A. = 6 x 6 - 1/2 x 3 x 6 [DE = 1/2AB = 1/2 X 6 = 3]
  • S.A. = 36 - 9
  • S.A. = <u>27 cm²</u>
8 0
2 years ago
Read 2 more answers
WILL GIVE BRAINLIEST PLZ HELP FAST!!! Jacque estimates the square root of 125 in the following way:
VladimirAG [237]

Answer:

<h2>5</h2>

Step-by-step explanation:

<h2>√125/5 = √25 since 125/5 = 25</h2><h2>√25 = 5</h2><h2 /><h2>Hopes this helps. Mark as brainlest plz!</h2>
6 0
3 years ago
Jonathon buys 3 crates of flowers. He plants 2/5 pf the flowers and then divides the remaining flowers among 5 friends. What fra
GarryVolchara [31]

Answer:

2/5 of 3 = 2/5 * 3 = 6/5....what he plants

(6/5) / 5 = 6/5 * 1/5 = 6/25 <== what each friend got

Step-by-step explanation:

7 0
3 years ago
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