To solve this problem you must apply the proccedure shown below:
You must apply the Pythagorean Theorem.
a) Taking 28 inches as the hypotenuse of the right triangle (the largest side), you have:
a^2=b^2+c^2
Where "a" is the hypotenuse, and "b" and "c" are the other sides of the right triangle.
Then, you have:
a=28 inches
b=15 inches
c^2=a^2-b^2
c=√(a^2-b^2)
c=23.6
Therefore, the answer is: 23.6 inches
a) Taking 28 inches as a one the other sides that are smaller than the hypotenuse, you have:
a=√(b^2+c^2)
Where "a" is the hypotenuse
a=31.8 inches
The answer is: 31.8 inches
Let x= measure of angle 1
Let y= measure of angle 2
This is solving a system of equations
3x=30+ 5y which can also be written
3x-5y=30, and
2x+2y=180
There are a few ways to solve this, like solving for x in one of the equations and plugging it in for x in the other equation, but here is another way:
2(3x-5y)=2*30
3(2x+2y)= 3*180
6x-10y=60
6x+6y=540, and now subtract to get rid of x
0-16y=-480
Y=30
Plug it back in to either equation and you get x=60
Answer:
Step-by-step explanation:
4. D. 4
5. D. 10a + 10
6. 11 and 71
7. 27.5 and 39.25
Answer:
Step-by-step explanation:
We know that 
, and we want to find 
using this formula. To do this, notice that 
and 
, so all we have to do is substitute the given values into the formula. Therefore:
(Substitute and into )
(Simplify)
Hope this helps!
