The sum of 27 and seven times a number is 125. Find the number.
2 answers:
You might be interested in
Answer:
distance = 994.75 miles
Step-by-step explanation:
given data
City A = 36°6′ = 36° + = 36.1° = 36.1° ×
= 0.6297 rad
City B = 21°42′ = 21° + = 21.7° = 21.7° ×
= 0.3785 rad
multiply by π/180 to convert the degree to radian
radius of Earth = 3960 miles
to find out
distance between City A and City B
solution
we first get here central angle between A and B city is
central angle between A and B city = 0.6297 rad - 0.3785 rad
and
now by arc length so we get distance
distance = 3960 miles × (0.6297 rad - 0.3785 rad )
distance = 994.75 miles
Answer:
169.04 in² (nearest hundredth)
Step-by-step explanation:
Surface area of a cone = r² +
r
(where r = radius of the base and = slant height)
Given slant height = 10 and surface area = 188.5
Surface area = r² +
r
188.5 = r² + 10
r
r² + 10
r - 188.5 = 0
r = = 4.219621117...
Volume of a cone = (1/3)r²h
(where r = radius of the base and h = height)
We need to find an expression for h in terms of using Pythagoras' Theorem a² + b² = c², where a = radius, b = height and c = slant height
r² + h² = ²
h² = ² - r²
h = √(² - r²)
Therefore, substituting found expression for h:
volume of a cone = (1/3)r²√(
² - r²)
Given slant height = 10 and r = 4.219621117...
volume = 169.0431969... = 169.04 in² (nearest hundredth)