Answer:4 and 7
Step-by-step explanation:
Adding the numbers up broo
Answer:
In picture
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Visualize this situation as in the attachment (it is not scaled).
First, denote by r the radius of the inner circle, R the radius of the outer circle and A the area between both circles. The area of the inner circle is πr² and the area of the outer circle is πR². The area of the inner circle and the area between the circle adds up to the area of the outer circle, that is, πr²+A=πR², then A=πR²-πr².
We are given that A=49π, then 49π=πR²-πr². Divide pi from this equation to obtain 49=R²-r². We will use this later on the problem.
Following the figure, suppose that A is the center of both circles and the chord ED is tangent to the first circle on point C. Construct the triangles ACE and ACD. Both are right triangles because a tangent line is perpendicular to the radius, in this case ED⊥AC.
Now, note that AE=AD=R and AC=r because E,D are points of the outer circle and C is a point of the inner circle. Applying the Pythagorean theorem (on both triangles, we get that CE²=AE²-AC²=R²-r²=49 and CD²=AD²-AC²=R²-r²=49, so that CE=7=CD.
Finally, we compute the length of the chord as ED=EC+CD=CE+CD=7+7=14.
Answer
Each organization gets $22.5
Step-by-step explanation:
12 x 2.75 = $33
23 x 1.50 = $33.5
33 + 33.5 = $67.5
67.5 divided by 3 = $22.5
9514 1404 393
Answer:
(a) x^2/16 +y^2/9 = 1
Step-by-step explanation:
The form for the equation of an ellipse centered at the origin is ...
(x/(semi-x-axis))^2 +(y/(semi-y-axis))^2 = 1
The vertex values tell you the semi-x-axis is 4 units, and the semi-y-axis is 3 units. Then you have ...
(x/4)^2 +(y/3)^2 = 1
x^2/16 +y^2/9 = 1
__
In case you don't remember that form, you can try any of the points in the equations. The equation that works will quickly become apparent.