Answer:
40
Step-by-step explanation:
sin(29) = 
x = 
x = 39.19064145
x = 40
X² - 9x + 14
x² - 2x - 7x + 14
x (x - 2) -7 (x - 2)
x - 7 =0 OR x - 2 = 0
x = 7 OR x = 2
In short, Your Roots would be 2 & 7
Hope this helps!
Answer:
11.6--------------------------------------
Explanation:
See the attached image for a visual reference
The distance from point D to E is 21 units. Point C is the midpoint, so CD is 10.5 units long (21/2 = 10.5)
We have a right triangle ACD. The legs are
AC = 5
CD = 10.5
The hypotenuse is
AD = x
Because AD is another radius of the same circle
Use the pythagorean theorem to find x
a^2 + b^2 = c^2
5^2 + 10.5^2 = x^2
25 + 110.25 = x^2
135.25 = x^2
x^2 = 135.25
x = sqrt(135.25)
x = 11.629703349613
which rounds to
11.6 when rounding to the nearest tenth (one decimal place)
The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.
Step-by-step explanation:
The given is,
Two points are (2,-2) and (0,-9)
Step:1
By graphical method,
For two points (2,-2) and (0,-9)
First point (2,-2)
The values of x=2 and y=-9 noted in the graph
Second point (0,-9)
The values of x=0 and y=-9 noted in the graph
Now join the two points, measure the distance between the two points,
Distance between points are 7.3 units.
( OR )
Step:1
By formula method,
Distance = 
Where,
( 2,-2) are (
)
(0,-9) are (
)
From the values,
= 
= 
= 
= 
= 7.280
≅ 7.3
Distance = 7.3
Result:
The distance between two points (2,-2) and (0,-9) is 7.3 units, which is obtained by graphical method and formula method.