Answer:
They are only equal on day 0, both having 10 population.
Step-by-step explanation:
Given the bacteria on the counter is initially measured at 5 and doubles every 3 days we can generate the following geometric equation:
Given the bacteria on the stove is measured at 10 and doubles every 4 days we can create another equation:
To find how many days it will take for the bacteria population to equal the same lets set both equations equal to eachother:
Divide both sides by 10
Since both exponents have the same base we can set the exponents equal to eachother and solve for x:
Multiply both sides by 3 to isolate x on the left side
Multiply both sides by 4 to remove fraction
Subtract 3x to isolate x on the left side
Plug x into one of our original equations
Solve
You will save $172.65 if you buy an item listed as 575.60
Answer:
31.6°
Step-by-step explanation:
The triangle given us a right angled Triangle
We solve the above question using the trigonometric function of Tangent
The formula is given as:
tan θ = opp/adj
θ = m∠G = ?
Opposite = EF is 28.2
Adjacent = GF is 45.8
tan θ = 28.2/45.8
θ = arc tan (28.2/45.8)
θ = 31.621459805°
Approximately
m∠G = 31.6°
Answer: 
Step-by-step explanation:
a^2 +b^2 = c^2
4^2 = 16
6^2 = 36
16+36=52
c^2=52
c=
Answer:
7.7 km
Explanation:
Use cosine rule as here given two sides and one angle.
Cosine rule states:
a² = b² + c² - 2bc cos(A)
While solving, treat a = 7.5 km as to that opposite angle is given of 68°
then b = missing side, c = 5.2 km, A = 68°
Applying rule:
7.5² = b² + 5.2² - 2(b)(5.2) cos(68)
56.25 = b² + 27.04 - 3.8959b
56.25 - 27.04 = b² - 3.8959b
b² - 3.8959b = 29.21
b² - 3.8959b - 29.21 = 0
apply quadratic equation, Here [a = 1, b = - 3.8959, c = -29.21]
As length cannot be negative. Hence the value of b is only 7.7 km
