Answer:
25.6 feet to the nearest tenth.
Step-by-step explanation:
The fallen tree and the ground make a right-angled triangle with the side opposite the 40 degree angle = 10 ft and the hypotenuse is the length of the tree above 10 ft.
So sin 40° = 10 / x where x is the hypotenuse.
x = 10 / sin 40°
x = 15.56 ft
So the height of the tree was 10 + 15.56 = 25.56 feet (answer).
Answer:
Option B is right.
Step-by-step explanation:
We know that a circle is a locus of points keeping equal distance r from a fixed point called centre.
Here we have centre as (2,1)
Hence equation of the circle is given by
To find r, we can use the fact that (5,2) lies on this circle
Hence (5,2) satisfies this equatin.
So
So equation of the circle is
Answer:
C. there are no solutions because the slopes are the same and the y-intercepts are different.
step-by-step explanation:
y = 2/3x - 6
3y - 2x = 9
y = 0
3(0) - 2x = 9
-2x = 9
/-2 /-2
x = -9/2 = -4.5
x = 0
3y - 2(0) = 9
3y = 9
/3 /3
y = 3
(-4.5, 3)
slope 2/3
y-intercept (0, 3)
there are no solutions because the slopes are the same and the y-intercepts are different
The correct choice is the first one
Answer:
x is either 77 or -47
Step-by-step explanation: