Answer:
radius = which is approximately 2.65
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Multiply:
Simplify:
Factor:
Reduce:
Solution:
Answer:
w=5 x=2.1 y=5.4 z= 14.1
Step-by-step explanation:
w² = 13² - 12² = 25
w = 5
cos ∠1 = 12/13 = 13/(12+x)
12 (12+x) = 13 x 13 = 169
144 + 12x = 169
12x = 25
x = 25/12 = 2.08 = 2.1
∠1 + ∠2 = 90°
∠2 + ∠4= 90° ∠4 = ∠1
sin ∠4 = x/y = sin ∠1 = 5/13
5y = 13x
y = 13/5 x = 13/5 * 25/12 = 65/12 = 5.4
z = 12 + x = 12 + 2.08 = 14.08 = 14.1
In solving the volume of a square pyramid the following formula is to be used:
V = a² h/3
where;
a = base edge
h = height
Thus, the V ≈ 2.53 × 10⁵. Computed in another way:
V = (54)² × (260/3)
= 2916 × 86.67
= 252,729.72
≈ 2.53 × 10⁵
You have exponential decay if the base is a between 0 and 1 and the exponent grows as x grows, or if the base is greater than 1 and the exponents goes to negative infinity as x grows.
The only function that satisfied these requests is the second one: 1/2 is between 0 and 1, and the exponent is x itself.