Answer:
sinΘ = √5/3
Step-by-step explanation:
Mathematically, we know that the cos of an angle is the ratio of the adjacent to the hypotenuse
The sine of an angle is the ratio of the opposite to the hypotenuse
So in this case, from the cosine given; adjacent is 2 and hypotenuse is 3
From the Pythagoras’ theorem, we can get the opposite
Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the opposite as x
3^2 = 2^2 + x^2
9 = 4 + x^2
x^2 = 9-4
x^2 = 5
x = √5
This root can be positive or negative
But since the sine is positive, we shall be considering only the positive root
Thus;
sine theta = √5/3
A
im not sure why but C makes no sense :)
Answer:
x=5 twice
Step-by-step explanation:
x^2-10x+25=0
multiply the coefficient of x^2 and the last term
1X25=25
find two numbers you can multiply to get 25 and add to get -10
-5 + (-5)=-10 the middle term
replace -10x with -5x -5x and solve the equation
x^2-5x-5x+25=0
factorise by grouping
x(x-5)-5(x-5)=0
(x-5)(x-5)=0
Either x-5=0,x=5 or x-5=0,x=5
Therefore x=5 twice.
Answer:
<em>-26 or 14</em>
Step-by-step explanation:
Given that
Coordinate of point A is -6.
Length of AB = 20
To find:
Coordinates for the point B = ?
Solution:
We are given that:
AB = 20
In other words, we can use modulus function to define the distance between A and B:
|Coordinates of B - Coordinates of A| = 20
Let the coordinates of B = 
Kindly refer to the attached image for the given situation.
Point B might be either on the left or on the right side of A.
That means:
Now, let us have a look at the modulus function:
So,
Therefore, the answer is:
<em>-26 or 14</em>
Answer:
Please see attached picture for full solution.
