Answer:
Step-by-step explanation:
We will use the area of the circle to find the radius of the circle since that's all that that is useful for! If the area of the circle is 56 cm squared, then
and
and
so
r = 4.222 cm
Now that we know that, we will use that. But first, if we have a square circumscribed in a circle, then we know that from the center of the circle to any of the vertices of the square is the radius of the circle, 4.222. If we split that square into 4 triangles, pull one of those triangles out, we have a right triangle...45-45-90 to be specific. Just for the sake of argument, put the 90 degree angle as the vertex angle of that right triangle and then split THAT triangle in half by dropping an altitude from the vertex angle to the base. We still have a 45-45-90 triangle, but now the vertex angle is 45, one of the base angles is 90, and the other base angle is 45. The hypotenuse of that triangle is the length of the radius we just found. If the base angle is 45 and the hypotenuse is 4.222, we can use right triangle trig to find the length of the base of that triangle which, consequently, is half of the length of x, our unknown.
and
4.222 sin(45) = x so
x = 2.9854
But don't forget that that x is only half the length of one of the sides of the square. So multiply it by 2 to get that the side length, which is x, is
x = 5.97
Answer:
0.7455
Step-by-step explanation:
First, we note that there are C
= 220 ways of selecting the defective items.
The probability that the inspector will have to test at least 9 widgets would be 1 minus the probability that the inspector will have to test 8 or less widgets.
This is 1 - P(8 or less widgets have to be checked)
1 - 
= 1 - 56/220
= 1 - 0.2545
= 0.7455
Answer:
Step-by-step explanation:
If we have that worded expression, we can convert it into actual mathematical terms.
x to the one sixth power: 
That to the power of 3:
Using exponent rules, since we have a power to a power, the powers multiply, so:
If we have a number to a fraction power, the denominator becomes the “find the (denominator) root of x.
So:
Hope this helped!
a) Net result of Tamiko's transactions = $143.75
b) Total amount she can save = $86.25
Step-by-step explanation:
Step 1 :
Given,
Amount Tamiko got in her first check = $109.60
Amount of the bonus check = $34.15
Fraction of the amount she wants to save = 
We need to find the net results of her transactions and the amount she will save
Step 2 :
The new result of her transactions can be computed by adding the amount she has received through both the check.
Total amount she received = 109.60 + 34.15 = 143.75
Total amount she can save = × 143.75 = 86.25
Step 3 :
Answer :
a) Net result of Tamiko's transactions = $143.75
b) Total amount she can save = $86.25
Only 25 and 28 are functions.
A function must have only one y value per x value. For 26, the y value of 0 and multiple others have two different y values. For 27, all x values less than 0 have multiple y values.
