Hello!
The length of side BC can be found by using the Law of Sines. This law states,
a / sin A = b / sin B = c / sin C.
Given:
Angle A = 51.2 degrees
Angle B = 60.3 degrees
Side AC (or B) = 21 cm
Side BC (or A) = ? cm
Let's plug in these values into the formula to find the missing side length.
a / sin (51.2) = 21 / sin (60.3)
a / sin (51.2) = 24.1759... (multiply both sides by sin(51.2)
a = 24.1759 · sin (51.2)
a = 18.841...
18.841 can be rounded to 19.
Therefore, the length of side BC is equal to 19 centimeters.
The bottom is a square with a side length of 2 ft.
The area of a square is Area = S^2 = 2^2 = 4 square ft. Bottom)
The area of one side ( triangle) = 1/2 x base x height = 1/2 x 2 x 4 = 4 square ft.
There are 4 triangles: 4 x 4 sq. ft. = 16 sq.ft. ( four sides)
Total area = four sides + bottom = 16 + 4 = 20 feet^2
The line that is most likely to have a slope of 10 is the second one down
Umm im gonna guess on this one because im not good at math lol
, 3.58?
Answer:
9.12 + 9.12 = 18.24 inches
Step-by-step explanation:
Diameter = 23 inches (given)
Radius = 11.5 inches
2 Chords of length = 14 inches ( You didn't specify if the 14 inches is for both chords or for a single cord. I'll assume it's for two cords 14 and 14inches apart.
To clearly solve this, we'll make some mild assumptions.
Let the perpendicular distance of the chords from the center of the circle to represented as " x and y"
Therefore:
x^2 + 7^2 = 11.5 ^ 2
x^2 + 49 = 132.25
x^2 = 132.25 - 49
x^2 = 83.25
x = √ 83.25
x = 9.12 inches
Since the cords have thesame length (Assumed from the way the question was structured, the distance would still be thesame)
y^2 + 7^2 = 11.5 ^ 2
y^2 + 49 = 132.25
y^2 = 132.25 - 49
y^2 = 83.25
y = √ 83.25
y = 9.12 inches
Therefore, the distance will be :
9.12 + 9.12 = 18.24 inches
Have fun!
