Answer:
6
Step-by-step explanation:
Slope intercept form is y=mx+b, with m being the slope and be being the y intercept, so when you look for what b is in the equation for y=-3x+6 then 6 is b.
Answer:
4 cm
Step-by-step explanation:
we know that
The scale drawing is
That means ----> 1 cm in the drawing represent 4 ft in the mural
so
To find out the dimensions in the drawing, multiply the actual dimension by the scale drawing factor
so
Answer:
A possible solution is 60/2 = 30
Step-by-step explanation:
The given parameters are;
The dividend is a factor of 60
The divisor is a factor of 18
The quotient is a multiple of 3
The dividend is the amount divided
The dividend is the number that is dividing the dividend
The quotient is the result of the division operation
The given numbers to use are 60, 2, 30, and 18
Therefore one possible solution is 60/2 = 30
The dividend = 60 which is a factor of 60 (60 × 1 = 60)
The divisor = 2 which is a factor of 18 (2 × 9 = 18)
The quotient = 30 which is a multiple of 3 (3 × 10 = 30)
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)
