Answer:
Step-by-step explanation:
<u>The equation of the circle:</u>
The center is (h, k)
<u>Wen the center is the origin we have, h = 0, k = 0:</u>
The only equation in same format is the first one
<span>5*(-2/3+3x)
= 15x - 10/3
hope it helps</span>
AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees
The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180
Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees
Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90.
Answer:
Equation to find area: l*w
Unknown measurement: w = 4,700/94 = 50
Equation to find perimeter: l+l+w+w or l*2+w*2
Perimeter: 288
Hope this helps :)