Answer:
The distance between point M and point L is 8
Step-by-step explanation:
The given points on the coordinate are M = (- 2, 4) and L = (4, - 1)
The formula for determining the distance between two points is expressed as
d = √(x2 - x1)^2 + (y2 - y1)^2
Where
y2 = final value of y = - 1
y1 = initial value of y = 4
x2 = final value of x = 4
x1 = initial value of x = - 2
Therefore,
d = √(4 - - 2)^2 + (- 1 - 4)^2
d = √6^2 + (-5)^2
d = √36 + 25
d = √61 = 8
Let us calculate the nearness of all the numbers provided
Number Nearnes
0.400 100
0.505 5
0.449 51
0.530 30
Thus 0.505 is the closest number to 0.5 in decimal terms
Answer: there is no answer
Step-by-step explanation:
Here we are given with a triangle with smaller triangles formed due to the altitude on AC. Given:
- AB = 6
- BC = 8
- <ABC = 90°
- BD ⊥ AC
- <ABD =
We have to find the value for sin
So, Let's start solving....
In ∆ADB and ∆ABC,
- <A = <A (common)
- <ABC = <ADB (90°)
So, ∆ADB ~ ∆ABC (By AA similarity)
The corresponding sides will be:
![\sf{ \dfrac{AD}{AB} = \dfrac{AB}{AC} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cdfrac%7BAD%7D%7BAB%7D%20%20%3D%20%20%5Cdfrac%7BAB%7D%7BAC%7D%20%7D)
We know the value of AB and to find AC, we can use Pythagoras theoram that is:
AC = √6² + 8²
AC = 10
Coming back to the relation,
![\sf{ \dfrac{AD}{6} = \dfrac{6}{10} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cdfrac%7BAD%7D%7B6%7D%20%20%3D%20%20%5Cdfrac%7B6%7D%7B10%7D%20%7D)
![\sf{AD = \dfrac{6 \times 6}{10} = 3.6}](https://tex.z-dn.net/?f=%20%5Csf%7BAD%20%3D%20%20%5Cdfrac%7B6%20%5Ctimes%206%7D%7B10%7D%20%20%3D%203.6%7D)
In ∆ADB, we have to find sin
which is given by perpendicular/base:
![\sf{\sin( \theta) = \dfrac{AD}{AB} }](https://tex.z-dn.net/?f=%20%20%5Csf%7B%5Csin%28%20%5Ctheta%29%20%20%3D%20%20%5Cdfrac%7BAD%7D%7BAB%7D%20%7D)
Plugging the values of AD and AB,
![\sf{\sin( \theta) = \dfrac{3.6}{6} }](https://tex.z-dn.net/?f=%20%20%5Csf%7B%5Csin%28%20%5Ctheta%29%20%20%3D%20%20%5Cdfrac%7B3.6%7D%7B6%7D%20%7D)
Simplifying,
![\sf{ \sin( \theta) = \dfrac{3}{5} = \boxed{ \red{0.6}}}](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Csin%28%20%5Ctheta%29%20%20%3D%20%20%5Cdfrac%7B3%7D%7B5%7D%20%20%3D%20%20%5Cboxed%7B%20%5Cred%7B0.6%7D%7D%7D)
And this is our final answer.....
Carry On Learning !
Answer:
1
Step-by-step explanation:
If P(E) = p
Then P(not E) = 1-p