Answer:
The radius of the sphere, to the nearest cm:
cm
Step-by-step explanation:
The surface area of a sphere is given by the formula
A = 4πr²
where r is the radius of the sphere.
Given
- The surface area of sphere A = 5024 cm²
The radius of the sphere can be determined such as
Plug in Surface Area of sphere = 5024, π = 3.14 in the formula
cm
Therefore, the radius of the sphere, to the nearest cm:
cm
Answer:
An equation that represents the given situation is and the additional number of students that can be seated is 47
Step-by-step explanation:
Number of students already seated in school cafeteria = 203
Let x be the additional number of students that can be seated
So, Total number of seats available in school cafeteria = 203+x
We are given that the school cafeteria seats 250 students
So, 203+x=250
Hence an equation that represents the given situation is and the additional number of students that can be seated is 47
The value of cos B is 12/13
Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) =
By applying tangent rule in the given right triangle BOC,
tan(60°) =
OC = BO(√3)
OA + OC = AC
2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) =
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3