Answer:
r = 14.998 yd
Step-by-step explanation:
Volume of a cone
V = πr^2h/3
Given:
V = 3,532 yd cubed
π - 3.14
r = h
Since the radius and the height of the cone are equal
So, let r = h = x yd
V = 3.14 * x^2 * x/3
3532 = 3.14x^3/3
3532 = 1.047x^3
Divide both sides by 1.047
3532/1.047 = x^3
3373.45 = x^3
x = 14.998 yd
Since r = h = x
r = h = 14.998yd
r = 14.998yd
Hint: to check if the value of radius and the height are correct, insert the values into the formula
V = πr^2h/3
V = 3.14 * 14.998^2 * 14.998/3
= 3.14 * 224.940 * 4.999
= 3530.852
≈ 3531 yd cubed
Due to approximations
1/2 + 1/3 = 1/6 or <span>0.166667</span>
Answer:
c) a right angle
Step-by-step explanation:
A right angle can be defined as angles that are created or formed by two non-common sides of adjacent, complementary angles.
These angles have the following attributes:
a) They are angles that are complementary angles. This means that the sum of these angles is equal to 90°
b) The angles are adjacent complementary angles: These means that the angles are next to each other.
Two non-common sides of adjacent, complementary angles form a right angle because they have a common vertex and arm.
Answer:
the probability that the project will be completed in 95 days or less, P(x ≤ 95) = 0.023
Step-by-step explanation:
This is a normal probability distribution question.
We'll need to standardize the 95 days to solve this.
The standardized score is the value minus the mean then divided by the standard deviation.
z = (x - xbar)/σ
x = 95 days
xbar = mean = 105 days
σ = standard deviation = √(variance) = √25 = 5
z = (95 - 105)/5 = - 2
To determine the probability that the project will be completed in 95 days or less, P(x ≤ 95) = P(z ≤ (-2))
We'll use data from the normal probability table for these probabilities
P(x ≤ 95) = P(z ≤ (-2)) = 0.02275 = 0.023