45 miles / 1 hour = 45 miles / 60 minutes
Set up a ratio:
45mi/60m = x mi/1m
x = (45×1)÷60 = 0.083333.... mi
Approximately 0.083 miles per minute
Answer:
10x - 3y = -109 .
Step-by-step explanation:
x^2 + y^2 = 109
Implicit Differentiation:
2x + 2y.y' = 0
y' = -2x/2y = -x/y
So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.
Equation of the tangent:
y - y1 = m(x - x1)
y - 3 = 10/3(x + 10)
y - 3 = 10/3 x + 100/3
3y - 9 = 10x + 100
-109 + 3y = 10x
10x - 3y = -109
Answer:
<h3>1</h3>
Step-by-step explanation:
simplify:
1/1-x^(b-a)+1/1-x^(a-b)
Hence the required answer is 1
Answer: height of TV = 21"
Width of TV = 36.372"
Step-by-step explanation:
The TV is rectangular and the diagonal divides the rectangle into 2 equal right angle triangles. The diagonal represents the hypotenuse of the right angle triangle. If the diagonal forms a 30 degree angle with the base of the TV, then the height of the TV represents the opposite side of the right angle triangle and the width of the TV represents the adjacent side of the right angle triangle.
To determine the height, h of the TV, we would apply the Sine trigonometric ratio.
Sin θ = opposite side/hypotenuse. Therefore,
Sin 30 = h/42
h = 42Sin30 = = 42 × 0.5
h = 21"
To determine the width, w of the TV, we would apply the
the cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = w/42
w = 42Cos30 = 42 × 0.866
w = 36.372"
