Hello from MrBillDoesMath!
Answer:
8
Discussion:
Let the number be "n". Then the question states that
3n - 15 = (n/2) + 5 => multiply both sides by 2
6n - 30 = n + 10 => subtract n from both sides
5n - 30 = 10 => add 30 to both sides
5n = 30 + 10 = 40 => divide both sides by 5
n = 40/5 = 8
Thank you,
MrB
Answer:
904.78 m³
Step-by-step explanation:
V = 4/3 × π r³ = 4/3 × π × 6³ = 904.78
Answer:
AM = 25, AC = 15, CM = 20
Step-by-step explanation:
The given parameters are;
In ΔACM, ∠C = 90°, 
⊥ 
, AP = 9, and PM = 16
² + 
² = ²
= 
+ PM = 9 + 16 = 25
= 25
² = ² + ² = 9² + ²
∴ ² = 9² + ²
Similarly we get;
² = 16² + ²
Therefore, we get;
² + ² = 9² + ² + 16² + ² = ² = 25²
2·² = 25² - (9² + 16²) = 288
² = 288/2 = 144
= √144 = 12
From ² = 9² + ², we get
= √(9² + 12²) = 15
= 15
From, ² = 16² + ², we get;
= √(16² + 12²) = 20
= 20.
Answer:
8 1/2 divided by 2 1/4 = 3 7/9 inches
