Please help quick for 25 points with explanations. Any silly and absurd answers will be reported.
1 answer:
Answer:
Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±)/2. So, PQ=
, PQ²=
. Thus, the answer is 61+4=65.
Step-by-step explanation:
You might be interested in
Answer:
24 in
Step-by-step explanation:
From the question,
The formula for finding the volume of a rectangular prism is
V = l×w×h...................... Equation 1
Where l = length, w = width, h = height.
From the question, we were told that the length of the prism is three times the height.
i.e,
l = 3h....................... Equation 2
Substitute equation 2 into equation 1
V = 3h×w×h
V = 3h²w............... Equation 3
Given: V = 103680 in³, w = 60 in
Substitute these values into equation 3 and solve for h
103680 = 3(h²)(60)
103680 = 180h²
h² = 103680/180
h² = 576
h =
h = 24 in.
Hence the height of the raised garden is 24 in