Answer:
The answer to your question is a = 40, b = 5/8
Step-by-step explanation:
Data
ab = 25
log₄a - log₄b = 3
Process
1.- Use the law log of a quotient
log₄ a/b = 3
2.- Convert the log to an exponent
a/b = 4³
a/b = 64 Equation l
ab = 25 Equation ll
3.- Solve equation l for a
a = 64b
4.- Substitute in equation ll
(64b)b = 25
-Simplify
64b² = 25
-Solve for b
b² = 25/64
b = 5/8
5.- Substitute the value of b to find a
a = 64(5/8)
-Simplification
a = 40
Answer:
Dilate circle A by a scale factor of 4.
Step-by-step explanation:
Dilating circle A by 4 would be the same as multiplying its radius of 6 by 4, which would make it 24.
The radius of circle B is 24.
Rotating it wouldn't change anything (it's a circle), and I don't think reflecting and translating show circle similarity
Answer:
True
Step-by-step explanation:
Answer:
190
Step-by-step explanation:
160 - 120 = 40
120 + 30 = 150
150 + 40 = 190
Answer:
The area of the country is 17 square miles
Step-by-step explanation:
To calculate the population density of the country. We employ the use of a mathematical formula. This can easily be obtained from the units of the density
The population density = Population of the country/area of the country
Since we are to calculate the area of the country, the equation becomes
Area of country = Population of country/population density of country
Area of country = 4288/257
Area of country = 16.68 square mile
To the nearest square mile, the Area of the country = 17 square mile
