Answer:
Probability is 64%
Step-by-step explanation:
Given the smaller circle which is shaded whose radius is denoted by r and the largest circle whose radius is denoted by R
r = 3 inches
R = 5 inches
Step 1 : To calculate the area of shaded region.
Area of circle =
⇒ Area =
= square inches
Step 2 : To calculate the area of larger circle.
Area of circle =
⇒ Area =
= square inches
Step 3 : Calculate the probability that a point chosen from shaded region
Probability = Area of shaded region/Area of larger circle.
= /
=
= 0.36 = 36%
Step 4 : calculate the probability that a point chosen inside the larger circle is not in shaded region.
Probability = 1 - 0.36
= 0.64 = 64%
Hence the probability is 64%
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are given the following in the question:
where r and r are the radius of the circle.
General equation of circle:
where(h,k,j) is the center of the circle and r is the radius of circle.
If the circle is centered at origin, then,
Equation of circle with radius R centered on origin
Inequality to describe the region that consist of all points lying between the sphere of radius r and R but not on the sphere is given by:
Answer:
- The sum of the eight interior angles not adjacent to these exterior angles is 1280°.
=================
<h2>Given </h2>
- A 15-sided polygon with sum of 7 exterior angles 200°.
<h2>To find </h2>
- The sum of the 8 interior angles, remote to known 7 angles.
<h2>Solution</h2>
<u>We know that:</u>
- sum of all exterior angles of a polygon is 360°.
- sum of each interior and exterior angle pair is 180°.
So the sum of the 8 exterior angles is:
Sum of both interior and exterior angles of 8 angles:
Sum of those 8 interior angles is:
<span>y=
-0.000475x^2 + 0.851x
How high above is the
river bridge (the top of the arch)?
You have to find the vertex of of the parabole: the y-coordinate is the highest point.
Remember that the x-coordinate of the vertex of a parabole is at - b / 2a.
That is x = - 0.851 / [ 2(-0.000475) = 895.79
The corresponden y is y = </span><span>-0.000475(895.79)^2 + 0.851(895.79) = 381.16 feet above the river.
How long is section of bridge above
the arch?
The section of the brige is equal to the difference of the two roots
Roots: </span><span>y=
-0.000475x^2 + 0.851x = 0
=> x( - 0.000475x + 0.851) = 0
=> x = 0 and x = 0.851 / 0.000475 = 1791.58
Then the section is 1791.58 feet long.
Therefore, the answer is the option </span><span>D)The bridge is about 381.16 ft. above the river, and the length of the bridge above the arch is about 1,791.58 ft
</span>
