C
given 1 /( 3 + √2 )
then rationalise the denominator by multiplying the numerator/ denominator by the conjugate of the denominator
the conjugate of 3 + √2 is 3 - √2
1 / (3 + √2 ) × (3 - √2 ) / (3 - √2 )
= (3 - √2 ) /( 9 - 2 ) = (3 - √2 ) / 7
Step-by-step explanation:
the easiest approach seems to be the law of sines :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the angles are always opposite of each other.
we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.
10/sin(90) = 10/1 = 10 = y/sin(37)
y = 10×sin(37) = 6.018150232 ≈ 6.0
Answer:
a. 
b. 
Step-by-step explanation:
Given
A(-8,7) and B(6,-9).
Solving (a):
Determine the Midpoint M;
This is calculated as follows;
Where
Substitute these values in the formula
<em>Hence; the midpoint is (-1,-1)</em>
Solving (a):
Here, we have
C = (2,7)
M; Midpoint = (-1,-1)
Required: Determine D
This is calculated as follows;
Where
Substitute these values in the formula
Solving for x2
Multiply both sides by 2
Subtract 2 from both sides
Solving for y2
Multiply both sides by 2
Subtract 7 from both sides
Hence, the coordinates of D is
25 • 0.65 = 16.25
25 - 16.25= 8.75
The new price is $8.75
Let x be the month on which the fee for two plans are equal.
Therefore,
150 + 10x = 50 + 30x
10x - 30x = 50 - 150
-20x = -100
x = 5
Cumulative cost = 150 + 10(5)
= 150 + 50
= 200
Hence, Karan will pay a cumulative cost of $200 dollars with either plan to go to the gym for 5 months.
