Answer:
There is no value of a/b because the system has infinitely many solutions.
Step-by-step explanation:
We know that there is no solution because, when we solve for x and y, we get x = 12 and y = -6. This means that there are infinitely many solutions because we can plug in any value for a and b and still get a correct answer.
Answer:
9.5 inches width
Step-by-step explanation:
solve it using the proportion method
height/ width = 5/19
so let the width be x
so if height: width:: height: width
5 : 19 :: 2.5 : x
product of extremes = product of means
5 x x = 19 x 2.5
x= 47.5/5
x= 9.5 inches (width )
Answer:
d
Step-by-step explanation:
A segment joining the midpoints of a triangle is
• Parallel to the third side
• Half the length of the third side
The segment DF joins the midpoints of 2 sides of Δ ABC , then
BC = 2 × DF = 2 × 4 = 8
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 + 10r
r² + 10r - 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)
