Answer:
Below
Step-by-step explanation:
You can use sine law to solve this : sina / A = sinb / B
We will first find side x
We know that since this is a special triangle that side will = 28, but we can prove this mathematically :
sin(45) / 28 = sin(45) / x
= 28 sin(45) / sin(45)
x = 28
Now to find side r just use Pythagorean theorem a^2 + b^2 = c^2 :
c^2 = 28^2 + 28^2
= 1568
Square root this number
r = 39.597
The just round to however your teacher wants
If you didn't already know about special triangles, an isosceles right triangle like this one has a ratio which is the two legs will equal each other, while the hypotenuse is √2a . You could have also used this to solve.
Hope this helps! Best of luck.
Area = length x width
the "big" rectangle: length = 15, width = 14
the blue rectangle is: length = 15 - 4, width = 14 - 6
Area of blue rectangle = (15 - 4)(14 - 6)
Answer: D
Answer: 
Step-by-step explanation:
We know that:
: The number of vibrations per second of the nylon guitar string.
: Tension.
: The length of the string.
Since varies directly with the square root of the and inversely with , the equation has the following form:
Where "k" is the constant of variation.
Knowing that when 
and 
, 
, we can find the value of "k":
Finally, in order to find the tension when the length is 0.3 meters and the number of vibrations is 12, you need to substitute these values and the value of "k" into and solve for :
