Answer: 311.5
Step-by-step explanation: 35*8.9=311.5
311.5/35=8.9
Answer: The base is 18.3ft
Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is 280 ft2. Find the base. Round your answer to the nearest foot. (height=5x)(base=6x)
Step-by-step explanation:
Given;
Area = 280ft^2
height = 5x
Base = 6x
The area of the parallelogram A can be written as;
Area = base × height
A = b×h
Substituting the values of Area, base and height.
280 = 5x × 6x
280 = 30x^2
x^2 = 280/30
x = √(280/30)
Since the base = 6x ;
Substituting the value of x.
Base = 6x = 6(√(280/30))
Base = 18.3ft
The base is 18.3ft
Here it is given that f(x)=3x and g(x)=1/x
We have to find the domain of (g o f)(x)
Now it is given that f(x) = 3x
and it is also given that g(x) = 1/x
so (g o f)(x) = g( f(x) ) = g( 3x )
which comes out to be 1 / 3x
The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.
Answer:
volume = 1809 cm³
Step-by-step explanation:
The ratio of the height of two similar cylinder is 1:3 . The volume of the smaller cylinder is 67 cm³. The volume of the larger cylinder can be computed below:
If 2 object are similar and the ratio of the corresponding sides is x ,then the ratio of their volume is x³.
ratio of height = 1/3
ratio of volume = (1/3)³ = 1/27
volume of smaller cylinder/volume of larger cylinder = 1/27 = 67/x
where
x = volume of the larger cylinder
x = 27 × 67
x = 1809 cm³
volume = 1809 cm³
I think it is F, but I am a not sure.
