Answer: The answer is A 17in2
Step-by-step explanation:
In the question it states that the triangles are congruent (both the same).
first I found the area of the top orange triangle.
the formula to find the area of a triangle is (base times Height).
so I did which gave me 8.27.
Since the triangles are congruent (the same) they would both have the same area along with base and height. so I multiplied 8.27 by 2 (because there are two triangles) and got 16.54 which rounds up to 17.
the question also stated to find the APPROXIMATE area (close to the actual, but not completely accurate or exact.)
Answer:
The goat population reaches 1000 in 12.4 years
Step-by-step explanation:
After <em>t </em>years, the number of goats is given by
where is the initial number of goats and <em>b</em> is the per capita growth rate.
From the question,
Answer:
0.8894 is the probability that the test result comes back negative if the disease is present .
Step-by-step explanation:
We are given the following in the question:
P(Disco Fever) = P( Disease) =
Thus, we can write:
P(No Disease) =
P(Test Positive given the presence of the disease) = 0.99
P( false-positive) = 4%
We have to evaluate the probability that the test result comes back negative if the disease is present, that is
P(test result comes back negative if the disease is present)
By Bayes's theorem, we can write:
0.8894 is the probability that the test result comes back negative if the disease is present .
Answer:
t(d) = 0.01cos(5π(d-0.3)/3)
Step-by-step explanation:
Since we are given the location of a maximum, it is convenient to use a cosine function to model the torque. The horizontal offset of the function will be 0.3 m, and the horizontal scaling will be such that one period is 1.2 m. The amplitude is given as 0.01 Nm.
The general form is ...
torque = amplitude × cos(2π(d -horizontal offset)/(horizontal scale factor))
We note that 2π/1.2 = 5π/3. Filling in the given values, we have ...
t(d) = 0.01·cos(5(d -0.3)/3)
