Answer:
- The radius is r = 3 in,
- The height is h = 4 in
<u>The area of the base:</u>
- A(b) = πr² = π(3²) = 9π in²
<u>The circumference of the base:</u>
<u>The area of the lateral surface:</u>
- A(l) = Ch = 6π(4) = 24π in²
<u>The surface area:</u>
- S = 2A(b) + A(l) = 2*9π + 24π = 42π in²
Answer:
6.6 cm and 14.6 cm
Step-by-step explanation:
(a)
the length of arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × 
= 2π × 4 × 
= 8π × 
= 
≈ 6.6 cm ( to the nearest tenth )
(b)
the perimeter (P) of sector AOB is
P = r + r + AB = 4 + 4 + 6.6 = 14.6 cm
Answer:
a + c = 95........eq1
15a + 7c = 1,025....eq2
Step-by-step explanation:
Given:
Total number of ticket sold = 95
Total amount collected = $1,025
Price of each adult ticket = $15
Price of each child ticket = $7
Computation:
Number of adult tickets sold = a
Number of child tickets sold = c
So,
Number of adult tickets sold + Number of child tickets sold = Total number of ticket sold
a + c = 95........eq1
and
15a + 7c = 1,025....eq2
ANSWER

EXPLANATION
The volume of a rectangular prism is given by the formula,

We substitute the dimensions to obtain,

The volume of the rectangular pyramid is,

Equating the two volumes gives,

We divide through by 6×12 to get,

We solve for x to obtain,

Answer:
a, b and d
Step-by-step explanation: