Answer:

Step-by-step explanation:
we know that
The length of a circle is equal to the circumference

where
r is the radius of the circle
In this problem we have

The length of semicircle is equal to

substitute


No. If 4x= 24 then x=6. 7 multiplied by 6 equals 42, not 35 so this is not a ratio.
Answer:
3054.0ft³
Step-by-step explanation:
Given parameters:
Height of cylinder = 12ft
Base radius = 9ft
Unknown:
Volume of the cylinder = ?
Solution:
The volume of a cylinder is the product of its base area and height;
Volume of cylinder = base area x height
= πr²h
r is the radius
h is the height
Insert the parameters and solve;
v = 3.142 x 9² x 12 = 3054.0ft³
Answer:
The discriminant is -7
Step-by-step explanation:
The discriminant of a quadratic function/equation(ax^2+bx+c = 0) is calculated as:

Here
b is the co-efficient of x
a is the co-efficient of x^2
and c is the constant
Given equation is:

Here
a = -2
b = 5
c = -4
Putting the values in the formula for discriminant

As the discriminant is negative, the equation has no real solution.
Hence,
The discriminant is -7
Answer:
10 units
Step-by-step explanation:
We can find the length of the hypotenuse of this right triangle using the Pythagorean theorem.
AB² = AC² +BC²
AB² = 2² +4² = 20
AB = √20 ≈ 4.47
Then the perimeter is ...
P = AB +BC +CA = 4.47 +4 +2 = 10.47
P ≈ 10 units