sin(θ) < 0 is another way to say sin(θ) is negative.
tan(θ) < 0 is another way to say tan(θ) is negative.
let's recall that, on the III Quadrant sine and cosine are both negative, and thus the tangent is positive, recall tan(θ)=sin(θ)/cos(θ).
on the IV Quadrant however, sine is negative and cosine is positive, thus tangent is negative.
The more pieces the smaller each piece is
Answer:
3.5 cm
Step-by-step explanation:
Using the formula
c=2πr
r =C/2π = 22/2×π ≈ 3.50141cm
9514 1404 393
Answer:
In step 4, Jim's answer is incorrect.
Step-by-step explanation:
In step 1, Jim swaps the order of addends using the commutative property of addition.
In step 2, Jim uses the distributive property to factor -1 from the final two terms. (The associative property lets Jim move parentheses.)
6.1 +(-8.5 -1.3) . . . associative property
6.1 +(-1)(8.5 +1.3) . . . distributive property
In step 3, Jim has used the properties of real numbers to form the sum of two of them.
In step 4, Jim wrote an answer of 1.1, when the answer should have been -3.7. Jim's answer is incorrect.
__
The descriptive statements about steps 2 and 4 are both true.
For this case, the first thing we should do is use the following equation:
f (x) = 200 (1.03) ^ x
We substitute f (x) = 300:
300 = 200 (1.03) ^ x
We clear the value of x:
log1.03 (300/200) = log1.03 ((1.03) ^ x)
x = log1.03 (300/200)
x = 13.72
Answer:
the population will first reach 300 in about 13.72 years.
