The answer to number 1 is B
Answer:
see explanation
Step-by-step explanation:
x = r cosΘ
y = r sinΘ
with r = 54 and Θ = 69°, thus
x = 54cos69° ≈ 19.4
y = 54sin69° ≈ 50.4
Thus (54, 69° ) as an ordered pair
= ![\left[\begin{array}{ccc}19.4\\50.4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D19.4%5C%5C50.4%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The light's coverage area is given mathematically as i.e. Area=
Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.
The revolving beam of light covers the whole space i.e entirely 360°
I.e. it forms a circle-like region
Area of circle = 
{ where r is the radius of circle}
Let's assume the distance traveled by light as "d"
as it forms a circular region, it forms a circle of radius "d"
Mathematical connection i.e. area of the region
⇒area of circular region= {where d is the radius of region}
Learn more about area here:
brainly.com/question/27683633
#SPJ9
Answer:
All Real Numbers
Step-by-step explanation:
Any value of <em>c</em> makes the equation true.
Interval Notation
Answer:
Glass A is too small, Glass B is large enough and Glass C is too small ....
Step-by-step explanation:
Glasses are cylindrical in shape. Thus the formula is:
V = π r² h
For Glass A:
r = d/2 = 3.5/2
r = 1.75
h = 4 inches
Now substitute the values in the formula:
V= 3.14*(1.75)^2 * 4
V= 3.14*3.0625*4
V= 38.465 in.³ < 50in.³
For Glass B:
V = π r² h
where h = 5 inches
r = 1.9 inches
Plug the values in the formula:
V=3.14*(1.9)^2*5
V= 56.677 in³ > 50in³
For Glass C:
V = π r² h
where h=6 inches
r = 1.5 inches
Plug the values in the formula:
V= 3.14*(1.5)^2*6
V= 42.39 in³ < 50 in³
Therefore Glass A is too small, Glass B is large enough and Glass C is too small ....
