Answer:
Volume=21.195 cubic inch
Step-by-step explanation:
The volume of a cylinder varies jointly with its height and the square of the radius is expressed as
V∝hr^2
Introducing our constant of proportionality,K we have that
V =Khr^2
Given that A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. We have that
V =Khr^2
7.85=K 2.5 X 1^2
K=7.85/2.5 x1
K=3.14
Given that another spice container is 3 inches tall with a radius of 1.5 inches, Volume=?
V =Khr^2
V=3.14 X 3 X 1.5^2
V=21.195 cubic inch
For this problem, I think there is no need for the details of 12 inches width and 4 inches length. This is because an equation is already given. It was clearly specified that A as a function of θ represents the area of the opening. Then, we are asked to find exactly that: the area of opening. Moreover, the value of θ was also given. Therefore, I am quite sure that the initial details given are for the purpose of red herring only.
So, all we have to do is substitute θ=45° to the function given.
A = 16 sin 45° ⋅ (cos 45° + 1)
The angle 45° is a special angle in trigonometry. So, it would be easy to remember trigonometric functions of this angle. Sine of 45° is equal to √2/2 while cosine of 45° is also √2/2.
A = 16(√2/2) ⋅ (√2/2 + 1)
A = 8+8√2
A = 19.31 square inches
Answer:
(x+6i)(x-6i)(x+1)
So the zeroes are 6i, -6i, -1
Step-by-step explanation:
Factor by grouping
h(x) = x^2(x+1) + 36(x+1)
h(x) = (x^2+36)(x+1)
Answer:
Answer is 36cm
Step-by-step explanation:
Given:-
The perimeter of a square is 24 cm
To Find:-
It's Area
Solution:-
One side of the square
=24/4cm
=6cm
We know that, formula of the area of a square,
Area=(one side)^2
so,the area of the square=6^2cm=36
Important formula:-
•Perimeter of square=4×one side
•Perimeter of rectangle =2(length+breadth)
•Area of rectangle=length×breadth
I hope it's helpful!
