Answer: Area of the shaded region is 6.867 square cm
Step-by-step explanation:
The shaded area corresponds to the difference of the area of the rectangle and the area of the semicircle.
Area of the rectangle = 4 times 8 = 32 cm^2
Area of the semicircle = 0.5 * pi * r^2 (where r is the radius, i.e., half of the diameters, i.e., 4 cm). So Area = 0.5*pi*4^2 = 25.133 cm^2
The difference: 32 - 25.133 = 6.867 cm^2 (area of the shaded region)
Answer: If you wanting to find the slope, the answer would be m = -10/3
Step-by-step explanation: Use the slope formula to find the slope m.
Hope this helps you out! ☺
When the number is positive, its opposite is less than the number.
9 ==> -9 . . . . . . less
72 ==> -72 . . . . less
324 ==> -324 . . less
When the number is negative, its opposite is greater than the number.
-8 ==> 8 . . . . . . greater
-3/4 ==> 3/4 . . . greater
-429 ==> 429 . . greater .
We've seen that the opposite can be less, and it can also be greater.
I guess that means that it's sometimes greater.
Set up a proportion.
pounds / milligrams of medicine
195/279 = 130/x
195x = 279 times 130
195x =36,270
x = 36,270/195
x = 186
A patient weighing 130 pounds needs 186 milligrams of medicine.
(a) Using the table, give the values fo rthe inverse
1) original table of values:
x 1 2 3 4 5
f(x) 0 1 1 5 3
2) The inverse of the function is obtained by exchanging x and f(x), this is:
( x, f(x) ) → ( f(x), x)
3) So, the table of values of the inverse of the given function is:
x 0 1 1 5 3
f⁻¹ (x) 0 1 2 3 4
(b) Is the inverse a function?
No, the inverse is not a function, since the table of the inverse shows that the x -value 1 has two different images.
This ambigüity is opposite to the definition of a function, which requires that any input value has only one output. For that reason, the inverse is not a function. You cannot tell whether the image of 1 is 1 or 2, because both are images of the same value.
