Answer:
Step-by-step explanation:
Assumptions
This isn't drawn exactly to scale I don't think. I also think you are intended to believe that the inscribed figure is a rectangle, but that is a huge assumption.
If I'm right and that is a rectangle then the diagonal of the rectangle is also the diameter of the circle.
A diameter is also the hypotenuse of the two triangles formed by cutting the rectangle in half.
So let's go on.
Step One
Find the diagonal / hypotenuse.
a = 8 in
b = 6 in
c = ?
c^2 = a^2 + b^2
c^2 = 8^2 + 6^2
c^2 = 64 + 36
sqrt(c^2) = sqrt(100)
c = 10
Step 2
Find the radius of the circle
2*r = d
d = 10
2*r = 10
r = 10/2
r = 5
Step two
Find the circumference.
Circumference = 2*pi * r
Circumference = 2* pi * 5
Circumference = 10*pi <<<< Answer
That is one possibility for an answer
The other is to use 3.14 for pi
Circumference = 2*5*3.14 = 31.4 <<<< Answer
Answer:
Step-by-step explanation:
67
Answer:
THE PROBABILITY IS 0.8032
Step-by-step explanation:
To solve this question, we are going to use the standard score otherwise known as the z-score for the range of values that are given.
PLEASE CHECK ATTACHMENT FOR COMPLETE SOLUTION AND STEP BY STEP EXPLANATION
Answer:
1. B. x = 11
2. E.
3. D. 4.3 in
4. D. 40.8 ft
Step-by-step explanation:
1. By Angle Addition Postulate,
Since
then
2. By Angle Addition Postulate,
Since
then
Therefore,
3. The area of trapezoid is
From the diagram,
then
Since the area of trapezoid is then
4. Use formula for the area of the circle to find the radius of the circle:
So,
Now, find the circumference of the circle:
Answer: Sergio's expression is incorrect because he can not simplify 3-6x and Leon's expression is incorrect because he did not multiply 3 by -1.
Step-by-step explanation:
Here, given expression, 9 - (3 - 6x)
After simplifying this we get the following steps,
Step 1) 9 - (3 - 6x) = 9 - 3 +6x ( by removing parenthesis ) -----(1)
Step 2) 9 - (3 - 6x) = 6 + 6x
Step 3) 9 - (3 - 6x) = 6(1 + x) ( because 6 is common in both term of right side)
Since, when Sergio simplified it he wrote 9−(-3x), which is not matching to the above steps. that, is he is incorrect, because in his explanation he wrote -3x after simplifying 3-6x which can not be solved.
Moreover, the expression of Leon is also not matching to any of the above steps,
Thus he is also incorrect because after removing parenthesis he did not multiply 3 by -1 .