Base on the question where as asking to calculate the equation of the tangent line to the curve at the given point and base on the given data and in my further computation about the said given, I would say <span>y = 2√(3)x + 2 - (2pi√(3))/3. I hope you are satisfied with my answer and feel free to ask for more </span>
Answer:
a. m<B = 100°
b. m<L = 55°
c. Scale factor = 9/11
Step-by-step explanation:
a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.
Since ∆ABC ~ ∆GLJ, therefore,
<A = <G,
<B = <J
<C = <L
m<J = 100° (given)
Therefore,
m<B = m<J = 100°
m<B = 100°
b) m<A = m<G
m<A = 25° (given)
Therefore,
m<A = m<G = 25°
m<G = 25°
m<L = 180° - (m<J + m<G)
Substitute
m<L = 180° - (100° + 25°)
m<L = 55°
c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle
Scale factor = AB/GJ
Substitute
Scale factor = 18/22
Simplify
Scale factor = 9/11
<h3>Hope This Helps You </h3>
Answer: 
Step-by-step explanation:
For this exercise you can use the following formula for calculate the slope:
In this case you know that the given line passes through the points (-3,0) and (1.4). Therefore you can identify that:
Then, in order to calculate the slope of this line, you must substitute the coordinates of the points into the formula:
Finally, evaluating, you get that the slope of this line is the following:
Answer:
Density = 5751.66 gram per litre
Step-by-step explanation:
It is given that the density of a certain material 6 pounds per pint.
The conversion from pint to liter is as follows :
1 pint = 0.473 litre
The conversion from pounds to kg is as follows :
1 pound = 453.59 kg
We need to express the density from pounds per pint to grams per liter.
1 pound per pint = 958.611 gram per litre
So,
6 pound per pint = 958.611 × 6 gram per litre
6 pound per pint = 5751.66 gram per litre
