Answer: The value of other side is 7.8 inch.
Explanation:
It is given that the isosceles triangle has angle measures 50°, 50°, and 80°. The side across from the 80° angle is 10 inches long.
Let the given length of other equal sides be x.
The side across from the 50° angle is x inches long.
Law of sine,





Therefore, the value of other side is 7.8 inch.
The volume πr^2*height/3=1471
π*r^2=1471/9*3
π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)
r^2=490.33/3.14(taking 3.14 for pi)=about 156.16
r= sqrt 156.16=about 12.5
Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!
Answer:
alternate interior angles theorem
Step-by-step explanation:
The alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting angles produced are a pair of congruent alternate interior angles.
Given the image attached below, both line k and line l are parallel to each other and also, line t is the transversal, therefore the resulting congruent alternate interior angles produced are:
∠ 4 ≅ ∠6, ∠1 ≅ ∠7
Domain : everything
Range : -3
Answer: (-2, 8)
Explanation:
Plug x = -2 into the second equation. Isolate y.
5x+3y = 14
5(-2)+3y = 14
-10+3y = 14
3y = 14+10
3y = 24
y = 24/3
y = 8
We have x = -2 lead to y = 8.
Therefore, the ordered pair (x,y) = (-2,8) is the solution to this system.